I: pbuilder: network access will be disabled during build I: Current time: Thu Jun 1 13:40:32 +14 2023 I: pbuilder-time-stamp: 1685576432 I: Building the build Environment I: extracting base tarball [/var/cache/pbuilder/bookworm-reproducible-base.tgz] I: copying local configuration W: --override-config is not set; not updating apt.conf Read the manpage for details. I: mounting /proc filesystem I: mounting /sys filesystem I: creating /{dev,run}/shm I: mounting /dev/pts filesystem I: redirecting /dev/ptmx to /dev/pts/ptmx I: policy-rc.d already exists I: Copying source file I: copying [libmath-prime-util-gmp-perl_0.52-2.dsc] I: copying [./libmath-prime-util-gmp-perl_0.52.orig.tar.gz] I: copying [./libmath-prime-util-gmp-perl_0.52-2.debian.tar.xz] I: Extracting source gpgv: Signature made Fri Oct 14 22:19:43 2022 +14 gpgv: using RSA key B23862C415D6565A4E86CBD7579C160D4C9E23E8 gpgv: Can't check signature: No public key dpkg-source: warning: cannot verify inline signature for ./libmath-prime-util-gmp-perl_0.52-2.dsc: no acceptable signature found dpkg-source: info: extracting libmath-prime-util-gmp-perl in libmath-prime-util-gmp-perl-0.52 dpkg-source: info: unpacking libmath-prime-util-gmp-perl_0.52.orig.tar.gz dpkg-source: info: unpacking libmath-prime-util-gmp-perl_0.52-2.debian.tar.xz I: Not using root during the build. I: Installing the build-deps I: user script /srv/workspace/pbuilder/15577/tmp/hooks/D01_modify_environment starting debug: Running on virt32a. I: Changing host+domainname to test build reproducibility I: Adding a custom variable just for the fun of it... I: Changing /bin/sh to bash '/bin/sh' -> '/bin/bash' lrwxrwxrwx 1 root root 9 Jun 1 13:40 /bin/sh -> /bin/bash I: Setting pbuilder2's login shell to /bin/bash I: Setting pbuilder2's GECOS to second user,second room,second work-phone,second home-phone,second other I: user script /srv/workspace/pbuilder/15577/tmp/hooks/D01_modify_environment finished I: user script /srv/workspace/pbuilder/15577/tmp/hooks/D02_print_environment starting I: set BASH=/bin/sh BASHOPTS=checkwinsize:cmdhist:complete_fullquote:extquote:force_fignore:globasciiranges:globskipdots:hostcomplete:interactive_comments:patsub_replacement:progcomp:promptvars:sourcepath BASH_ALIASES=() BASH_ARGC=() BASH_ARGV=() BASH_CMDS=() BASH_LINENO=([0]="12" [1]="0") BASH_LOADABLES_PATH=/usr/local/lib/bash:/usr/lib/bash:/opt/local/lib/bash:/usr/pkg/lib/bash:/opt/pkg/lib/bash:. BASH_SOURCE=([0]="/tmp/hooks/D02_print_environment" [1]="/tmp/hooks/D02_print_environment") BASH_VERSINFO=([0]="5" [1]="2" [2]="15" [3]="1" [4]="release" [5]="arm-unknown-linux-gnueabihf") BASH_VERSION='5.2.15(1)-release' BUILDDIR=/build BUILDUSERGECOS='second user,second room,second work-phone,second home-phone,second other' BUILDUSERNAME=pbuilder2 BUILD_ARCH=armhf DEBIAN_FRONTEND=noninteractive DEB_BUILD_OPTIONS='buildinfo=+all reproducible=+all parallel=4 ' DIRSTACK=() DISTRIBUTION=bookworm EUID=0 FUNCNAME=([0]="Echo" [1]="main") GROUPS=() HOME=/root HOSTNAME=i-capture-the-hostname HOSTTYPE=arm HOST_ARCH=armhf IFS=' ' INVOCATION_ID=58bd69a8d8274543a31860de670c85fc LANG=C LANGUAGE=it_CH:it LC_ALL=C MACHTYPE=arm-unknown-linux-gnueabihf MAIL=/var/mail/root OPTERR=1 OPTIND=1 OSTYPE=linux-gnueabihf PATH=/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/i/capture/the/path PBCURRENTCOMMANDLINEOPERATION=build PBUILDER_OPERATION=build PBUILDER_PKGDATADIR=/usr/share/pbuilder PBUILDER_PKGLIBDIR=/usr/lib/pbuilder PBUILDER_SYSCONFDIR=/etc PIPESTATUS=([0]="0") POSIXLY_CORRECT=y PPID=15577 PS4='+ ' PWD=/ SHELL=/bin/bash SHELLOPTS=braceexpand:errexit:hashall:interactive-comments:posix SHLVL=3 SUDO_COMMAND='/usr/bin/timeout -k 24.1h 24h /usr/bin/ionice -c 3 /usr/bin/nice -n 11 /usr/bin/unshare --uts -- /usr/sbin/pbuilder --build --configfile /srv/reproducible-results/rbuild-debian/r-b-build.PRj0KU9P/pbuilderrc_2YkD --distribution bookworm --hookdir /etc/pbuilder/rebuild-hooks --debbuildopts -b --basetgz /var/cache/pbuilder/bookworm-reproducible-base.tgz --buildresult /srv/reproducible-results/rbuild-debian/r-b-build.PRj0KU9P/b2 --logfile b2/build.log --extrapackages usrmerge libmath-prime-util-gmp-perl_0.52-2.dsc' SUDO_GID=113 SUDO_UID=107 SUDO_USER=jenkins TERM=unknown TZ=/usr/share/zoneinfo/Etc/GMT-14 UID=0 USER=root _='I: set' http_proxy=http://10.0.0.15:3142/ I: uname -a Linux i-capture-the-hostname 5.10.0-23-armmp-lpae #1 SMP Debian 5.10.179-1 (2023-05-12) armv7l GNU/Linux I: ls -l /bin total 5072 -rwxr-xr-x 1 root root 838488 Apr 24 11:24 bash -rwxr-xr-x 3 root root 67144 Sep 19 2022 bunzip2 -rwxr-xr-x 3 root root 67144 Sep 19 2022 bzcat lrwxrwxrwx 1 root root 6 Sep 19 2022 bzcmp -> bzdiff -rwxr-xr-x 1 root root 2225 Sep 19 2022 bzdiff lrwxrwxrwx 1 root root 6 Sep 19 2022 bzegrep -> bzgrep -rwxr-xr-x 1 root root 4893 Nov 28 2021 bzexe lrwxrwxrwx 1 root root 6 Sep 19 2022 bzfgrep -> bzgrep -rwxr-xr-x 1 root root 3775 Sep 19 2022 bzgrep -rwxr-xr-x 3 root root 67144 Sep 19 2022 bzip2 -rwxr-xr-x 1 root root 67112 Sep 19 2022 bzip2recover lrwxrwxrwx 1 root root 6 Sep 19 2022 bzless -> bzmore -rwxr-xr-x 1 root root 1297 Sep 19 2022 bzmore -rwxr-xr-x 1 root root 67632 Sep 21 2022 cat -rwxr-xr-x 1 root root 67676 Sep 21 2022 chgrp -rwxr-xr-x 1 root root 67644 Sep 21 2022 chmod -rwxr-xr-x 1 root root 67684 Sep 21 2022 chown -rwxr-xr-x 1 root root 133532 Sep 21 2022 cp -rwxr-xr-x 1 root root 132868 Jan 6 03:20 dash -rwxr-xr-x 1 root root 133220 Sep 21 2022 date -rwxr-xr-x 1 root root 67732 Sep 21 2022 dd -rwxr-xr-x 1 root root 68104 Sep 21 2022 df -rwxr-xr-x 1 root root 133632 Sep 21 2022 dir -rwxr-xr-x 1 root root 59128 Mar 23 23:02 dmesg lrwxrwxrwx 1 root root 8 Dec 20 03:33 dnsdomainname -> hostname lrwxrwxrwx 1 root root 8 Dec 20 03:33 domainname -> hostname -rwxr-xr-x 1 root root 67560 Sep 21 2022 echo -rwxr-xr-x 1 root root 41 Jan 25 04:43 egrep -rwxr-xr-x 1 root root 67548 Sep 21 2022 false -rwxr-xr-x 1 root root 41 Jan 25 04:43 fgrep -rwxr-xr-x 1 root root 55748 Mar 23 23:02 findmnt -rwsr-xr-x 1 root root 26208 Mar 23 22:15 fusermount -rwxr-xr-x 1 root root 128608 Jan 25 04:43 grep -rwxr-xr-x 2 root root 2346 Apr 10 2022 gunzip -rwxr-xr-x 1 root root 6447 Apr 10 2022 gzexe -rwxr-xr-x 1 root root 64220 Apr 10 2022 gzip -rwxr-xr-x 1 root root 67032 Dec 20 03:33 hostname -rwxr-xr-x 1 root root 67720 Sep 21 2022 ln -rwxr-xr-x 1 root root 35132 Mar 23 23:51 login -rwxr-xr-x 1 root root 133632 Sep 21 2022 ls -rwxr-xr-x 1 root root 136808 Mar 23 23:02 lsblk -rwxr-xr-x 1 root root 67800 Sep 21 2022 mkdir -rwxr-xr-x 1 root root 67764 Sep 21 2022 mknod -rwxr-xr-x 1 root root 67596 Sep 21 2022 mktemp -rwxr-xr-x 1 root root 38504 Mar 23 23:02 more -rwsr-xr-x 1 root root 38496 Mar 23 23:02 mount -rwxr-xr-x 1 root root 9824 Mar 23 23:02 mountpoint -rwxr-xr-x 1 root root 133532 Sep 21 2022 mv lrwxrwxrwx 1 root root 8 Dec 20 03:33 nisdomainname -> hostname lrwxrwxrwx 1 root root 14 Apr 3 20:25 pidof -> /sbin/killall5 -rwxr-xr-x 1 root root 67608 Sep 21 2022 pwd lrwxrwxrwx 1 root root 4 Apr 24 11:24 rbash -> bash -rwxr-xr-x 1 root root 67600 Sep 21 2022 readlink -rwxr-xr-x 1 root root 67672 Sep 21 2022 rm -rwxr-xr-x 1 root root 67600 Sep 21 2022 rmdir -rwxr-xr-x 1 root root 67400 Nov 3 2022 run-parts -rwxr-xr-x 1 root root 133372 Jan 6 09:55 sed lrwxrwxrwx 1 root root 9 Jun 1 13:40 sh -> /bin/bash -rwxr-xr-x 1 root root 67584 Sep 21 2022 sleep -rwxr-xr-x 1 root root 67644 Sep 21 2022 stty -rwsr-xr-x 1 root root 50800 Mar 23 23:02 su -rwxr-xr-x 1 root root 67584 Sep 21 2022 sync -rwxr-xr-x 1 root root 336764 Apr 7 04:25 tar -rwxr-xr-x 1 root root 67144 Nov 3 2022 tempfile -rwxr-xr-x 1 root root 133224 Sep 21 2022 touch -rwxr-xr-x 1 root root 67548 Sep 21 2022 true -rwxr-xr-x 1 root root 9768 Mar 23 22:15 ulockmgr_server -rwsr-xr-x 1 root root 22108 Mar 23 23:02 umount -rwxr-xr-x 1 root root 67572 Sep 21 2022 uname -rwxr-xr-x 2 root root 2346 Apr 10 2022 uncompress -rwxr-xr-x 1 root root 133632 Sep 21 2022 vdir -rwxr-xr-x 1 root root 42608 Mar 23 23:02 wdctl lrwxrwxrwx 1 root root 8 Dec 20 03:33 ypdomainname -> hostname -rwxr-xr-x 1 root root 1984 Apr 10 2022 zcat -rwxr-xr-x 1 root root 1678 Apr 10 2022 zcmp -rwxr-xr-x 1 root root 6460 Apr 10 2022 zdiff -rwxr-xr-x 1 root root 29 Apr 10 2022 zegrep -rwxr-xr-x 1 root root 29 Apr 10 2022 zfgrep -rwxr-xr-x 1 root root 2081 Apr 10 2022 zforce -rwxr-xr-x 1 root root 8103 Apr 10 2022 zgrep -rwxr-xr-x 1 root root 2206 Apr 10 2022 zless -rwxr-xr-x 1 root root 1842 Apr 10 2022 zmore -rwxr-xr-x 1 root root 4577 Apr 10 2022 znew I: user script /srv/workspace/pbuilder/15577/tmp/hooks/D02_print_environment finished -> Attempting to satisfy build-dependencies -> Creating pbuilder-satisfydepends-dummy package Package: pbuilder-satisfydepends-dummy Version: 0.invalid.0 Architecture: armhf Maintainer: Debian Pbuilder Team Description: Dummy package to satisfy dependencies with aptitude - created by pbuilder This package was created automatically by pbuilder to satisfy the build-dependencies of the package being currently built. Depends: debhelper-compat (= 13), libdevel-checklib-perl, libgmp-dev, perl-xs-dev, perl:native dpkg-deb: building package 'pbuilder-satisfydepends-dummy' in '/tmp/satisfydepends-aptitude/pbuilder-satisfydepends-dummy.deb'. Selecting previously unselected package pbuilder-satisfydepends-dummy. (Reading database ... 19324 files and directories currently installed.) Preparing to unpack .../pbuilder-satisfydepends-dummy.deb ... Unpacking pbuilder-satisfydepends-dummy (0.invalid.0) ... dpkg: pbuilder-satisfydepends-dummy: dependency problems, but configuring anyway as you requested: pbuilder-satisfydepends-dummy depends on debhelper-compat (= 13); however: Package debhelper-compat is not installed. pbuilder-satisfydepends-dummy depends on libdevel-checklib-perl; however: Package libdevel-checklib-perl is not installed. pbuilder-satisfydepends-dummy depends on libgmp-dev; however: Package libgmp-dev is not installed. pbuilder-satisfydepends-dummy depends on perl-xs-dev; however: Package perl-xs-dev is not installed. pbuilder-satisfydepends-dummy depends on perl:native. Setting up pbuilder-satisfydepends-dummy (0.invalid.0) ... Reading package lists... Building dependency tree... Reading state information... Initializing package states... Writing extended state information... Building tag database... pbuilder-satisfydepends-dummy is already installed at the requested version (0.invalid.0) pbuilder-satisfydepends-dummy is already installed at the requested version (0.invalid.0) The following NEW packages will be installed: autoconf{a} automake{a} autopoint{a} autotools-dev{a} bsdextrautils{a} debhelper{a} dh-autoreconf{a} dh-strip-nondeterminism{a} dwz{a} file{a} gettext{a} gettext-base{a} groff-base{a} intltool-debian{a} libarchive-zip-perl{a} libdebhelper-perl{a} libdevel-checklib-perl{a} libelf1{a} libfile-stripnondeterminism-perl{a} libgmp-dev{a} libgmpxx4ldbl{a} libicu72{a} libmagic-mgc{a} libmagic1{a} libperl-dev{a} libpipeline1{a} libsub-override-perl{a} libtool{a} libuchardet0{a} libxml2{a} m4{a} man-db{a} po-debconf{a} sensible-utils{a} The following packages are RECOMMENDED but will NOT be installed: curl libarchive-cpio-perl libltdl-dev libmail-sendmail-perl lynx wget 0 packages upgraded, 34 newly installed, 0 to remove and 0 not upgraded. Need to get 19.9 MB of archives. After unpacking 73.2 MB will be used. Writing extended state information... Get: 1 http://deb.debian.org/debian bookworm/main armhf sensible-utils all 0.0.17+nmu1 [19.0 kB] Get: 2 http://deb.debian.org/debian bookworm/main armhf libmagic-mgc armhf 1:5.44-3 [305 kB] Get: 3 http://deb.debian.org/debian bookworm/main armhf libmagic1 armhf 1:5.44-3 [96.5 kB] Get: 4 http://deb.debian.org/debian bookworm/main armhf file armhf 1:5.44-3 [41.6 kB] Get: 5 http://deb.debian.org/debian bookworm/main armhf gettext-base armhf 0.21-12 [157 kB] Get: 6 http://deb.debian.org/debian bookworm/main armhf libuchardet0 armhf 0.0.7-1 [65.0 kB] Get: 7 http://deb.debian.org/debian bookworm/main armhf groff-base armhf 1.22.4-10 [825 kB] Get: 8 http://deb.debian.org/debian bookworm/main armhf bsdextrautils armhf 2.38.1-5+b1 [78.6 kB] Get: 9 http://deb.debian.org/debian bookworm/main armhf libpipeline1 armhf 1.5.7-1 [33.6 kB] Get: 10 http://deb.debian.org/debian bookworm/main armhf man-db armhf 2.11.2-2 [1351 kB] Get: 11 http://deb.debian.org/debian bookworm/main armhf m4 armhf 1.4.19-3 [265 kB] Get: 12 http://deb.debian.org/debian bookworm/main armhf autoconf all 2.71-3 [332 kB] Get: 13 http://deb.debian.org/debian bookworm/main armhf autotools-dev all 20220109.1 [51.6 kB] Get: 14 http://deb.debian.org/debian bookworm/main armhf automake all 1:1.16.5-1.3 [823 kB] Get: 15 http://deb.debian.org/debian bookworm/main armhf autopoint all 0.21-12 [495 kB] Get: 16 http://deb.debian.org/debian bookworm/main armhf libdebhelper-perl all 13.11.4 [81.2 kB] Get: 17 http://deb.debian.org/debian bookworm/main armhf libtool all 2.4.7-5 [517 kB] Get: 18 http://deb.debian.org/debian bookworm/main armhf dh-autoreconf all 20 [17.1 kB] Get: 19 http://deb.debian.org/debian bookworm/main armhf libarchive-zip-perl all 1.68-1 [104 kB] Get: 20 http://deb.debian.org/debian bookworm/main armhf libsub-override-perl all 0.09-4 [9304 B] Get: 21 http://deb.debian.org/debian bookworm/main armhf libfile-stripnondeterminism-perl all 1.13.1-1 [19.4 kB] Get: 22 http://deb.debian.org/debian bookworm/main armhf dh-strip-nondeterminism all 1.13.1-1 [8620 B] Get: 23 http://deb.debian.org/debian bookworm/main armhf libelf1 armhf 0.188-2.1 [170 kB] Get: 24 http://deb.debian.org/debian bookworm/main armhf dwz armhf 0.15-1 [101 kB] Get: 25 http://deb.debian.org/debian bookworm/main armhf libicu72 armhf 72.1-3 [9048 kB] Get: 26 http://deb.debian.org/debian bookworm/main armhf libxml2 armhf 2.9.14+dfsg-1.2 [591 kB] Get: 27 http://deb.debian.org/debian bookworm/main armhf gettext armhf 0.21-12 [1229 kB] Get: 28 http://deb.debian.org/debian bookworm/main armhf intltool-debian all 0.35.0+20060710.6 [22.9 kB] Get: 29 http://deb.debian.org/debian bookworm/main armhf po-debconf all 1.0.21+nmu1 [248 kB] Get: 30 http://deb.debian.org/debian bookworm/main armhf debhelper all 13.11.4 [942 kB] Get: 31 http://deb.debian.org/debian bookworm/main armhf libdevel-checklib-perl all 1.16-1 [18.5 kB] Get: 32 http://deb.debian.org/debian bookworm/main armhf libgmpxx4ldbl armhf 2:6.2.1+dfsg1-1.1 [338 kB] Get: 33 http://deb.debian.org/debian bookworm/main armhf libgmp-dev armhf 2:6.2.1+dfsg1-1.1 [593 kB] Get: 34 http://deb.debian.org/debian bookworm/main armhf libperl-dev armhf 5.36.0-7 [935 kB] Fetched 19.9 MB in 1s (37.9 MB/s) debconf: delaying package configuration, since apt-utils is not installed Selecting previously unselected package sensible-utils. (Reading database ... (Reading database ... 5% (Reading database ... 10% (Reading database ... 15% (Reading database ... 20% (Reading database ... 25% (Reading database ... 30% (Reading database ... 35% (Reading database ... 40% (Reading database ... 45% (Reading database ... 50% (Reading database ... 55% (Reading database ... 60% (Reading database ... 65% (Reading database ... 70% (Reading database ... 75% (Reading database ... 80% (Reading database ... 85% (Reading database ... 90% (Reading database ... 95% (Reading database ... 100% (Reading database ... 19324 files and directories currently installed.) Preparing to unpack .../00-sensible-utils_0.0.17+nmu1_all.deb ... Unpacking sensible-utils (0.0.17+nmu1) ... Selecting previously unselected package libmagic-mgc. Preparing to unpack .../01-libmagic-mgc_1%3a5.44-3_armhf.deb ... Unpacking libmagic-mgc (1:5.44-3) ... Selecting previously unselected package libmagic1:armhf. Preparing to unpack .../02-libmagic1_1%3a5.44-3_armhf.deb ... Unpacking libmagic1:armhf (1:5.44-3) ... Selecting previously unselected package file. Preparing to unpack .../03-file_1%3a5.44-3_armhf.deb ... Unpacking file (1:5.44-3) ... Selecting previously unselected package gettext-base. Preparing to unpack .../04-gettext-base_0.21-12_armhf.deb ... Unpacking gettext-base (0.21-12) ... Selecting previously unselected package libuchardet0:armhf. Preparing to unpack .../05-libuchardet0_0.0.7-1_armhf.deb ... Unpacking libuchardet0:armhf (0.0.7-1) ... Selecting previously unselected package groff-base. Preparing to unpack .../06-groff-base_1.22.4-10_armhf.deb ... Unpacking groff-base (1.22.4-10) ... Selecting previously unselected package bsdextrautils. Preparing to unpack .../07-bsdextrautils_2.38.1-5+b1_armhf.deb ... Unpacking bsdextrautils (2.38.1-5+b1) ... Selecting previously unselected package libpipeline1:armhf. Preparing to unpack .../08-libpipeline1_1.5.7-1_armhf.deb ... Unpacking libpipeline1:armhf (1.5.7-1) ... Selecting previously unselected package man-db. Preparing to unpack .../09-man-db_2.11.2-2_armhf.deb ... Unpacking man-db (2.11.2-2) ... Selecting previously unselected package m4. Preparing to unpack .../10-m4_1.4.19-3_armhf.deb ... Unpacking m4 (1.4.19-3) ... Selecting previously unselected package autoconf. Preparing to unpack .../11-autoconf_2.71-3_all.deb ... Unpacking autoconf (2.71-3) ... Selecting previously unselected package autotools-dev. Preparing to unpack .../12-autotools-dev_20220109.1_all.deb ... Unpacking autotools-dev (20220109.1) ... Selecting previously unselected package automake. Preparing to unpack .../13-automake_1%3a1.16.5-1.3_all.deb ... Unpacking automake (1:1.16.5-1.3) ... Selecting previously unselected package autopoint. Preparing to unpack .../14-autopoint_0.21-12_all.deb ... Unpacking autopoint (0.21-12) ... Selecting previously unselected package libdebhelper-perl. Preparing to unpack .../15-libdebhelper-perl_13.11.4_all.deb ... Unpacking libdebhelper-perl (13.11.4) ... Selecting previously unselected package libtool. Preparing to unpack .../16-libtool_2.4.7-5_all.deb ... Unpacking libtool (2.4.7-5) ... Selecting previously unselected package dh-autoreconf. Preparing to unpack .../17-dh-autoreconf_20_all.deb ... Unpacking dh-autoreconf (20) ... Selecting previously unselected package libarchive-zip-perl. Preparing to unpack .../18-libarchive-zip-perl_1.68-1_all.deb ... Unpacking libarchive-zip-perl (1.68-1) ... Selecting previously unselected package libsub-override-perl. Preparing to unpack .../19-libsub-override-perl_0.09-4_all.deb ... Unpacking libsub-override-perl (0.09-4) ... Selecting previously unselected package libfile-stripnondeterminism-perl. Preparing to unpack .../20-libfile-stripnondeterminism-perl_1.13.1-1_all.deb ... Unpacking libfile-stripnondeterminism-perl (1.13.1-1) ... Selecting previously unselected package dh-strip-nondeterminism. Preparing to unpack .../21-dh-strip-nondeterminism_1.13.1-1_all.deb ... Unpacking dh-strip-nondeterminism (1.13.1-1) ... Selecting previously unselected package libelf1:armhf. Preparing to unpack .../22-libelf1_0.188-2.1_armhf.deb ... Unpacking libelf1:armhf (0.188-2.1) ... Selecting previously unselected package dwz. Preparing to unpack .../23-dwz_0.15-1_armhf.deb ... Unpacking dwz (0.15-1) ... Selecting previously unselected package libicu72:armhf. Preparing to unpack .../24-libicu72_72.1-3_armhf.deb ... Unpacking libicu72:armhf (72.1-3) ... Selecting previously unselected package libxml2:armhf. Preparing to unpack .../25-libxml2_2.9.14+dfsg-1.2_armhf.deb ... Unpacking libxml2:armhf (2.9.14+dfsg-1.2) ... Selecting previously unselected package gettext. Preparing to unpack .../26-gettext_0.21-12_armhf.deb ... Unpacking gettext (0.21-12) ... Selecting previously unselected package intltool-debian. Preparing to unpack .../27-intltool-debian_0.35.0+20060710.6_all.deb ... Unpacking intltool-debian (0.35.0+20060710.6) ... Selecting previously unselected package po-debconf. Preparing to unpack .../28-po-debconf_1.0.21+nmu1_all.deb ... Unpacking po-debconf (1.0.21+nmu1) ... Selecting previously unselected package debhelper. Preparing to unpack .../29-debhelper_13.11.4_all.deb ... Unpacking debhelper (13.11.4) ... Selecting previously unselected package libdevel-checklib-perl. Preparing to unpack .../30-libdevel-checklib-perl_1.16-1_all.deb ... Unpacking libdevel-checklib-perl (1.16-1) ... Selecting previously unselected package libgmpxx4ldbl:armhf. Preparing to unpack .../31-libgmpxx4ldbl_2%3a6.2.1+dfsg1-1.1_armhf.deb ... Unpacking libgmpxx4ldbl:armhf (2:6.2.1+dfsg1-1.1) ... Selecting previously unselected package libgmp-dev:armhf. Preparing to unpack .../32-libgmp-dev_2%3a6.2.1+dfsg1-1.1_armhf.deb ... Unpacking libgmp-dev:armhf (2:6.2.1+dfsg1-1.1) ... Selecting previously unselected package libperl-dev:armhf. Preparing to unpack .../33-libperl-dev_5.36.0-7_armhf.deb ... Unpacking libperl-dev:armhf (5.36.0-7) ... Setting up libpipeline1:armhf (1.5.7-1) ... Setting up libicu72:armhf (72.1-3) ... Setting up bsdextrautils (2.38.1-5+b1) ... Setting up libmagic-mgc (1:5.44-3) ... Setting up libdevel-checklib-perl (1.16-1) ... Setting up libarchive-zip-perl (1.68-1) ... Setting up libdebhelper-perl (13.11.4) ... Setting up libmagic1:armhf (1:5.44-3) ... Setting up gettext-base (0.21-12) ... Setting up m4 (1.4.19-3) ... Setting up libperl-dev:armhf (5.36.0-7) ... Setting up file (1:5.44-3) ... Setting up autotools-dev (20220109.1) ... Setting up libgmpxx4ldbl:armhf (2:6.2.1+dfsg1-1.1) ... Setting up autopoint (0.21-12) ... Setting up autoconf (2.71-3) ... Setting up sensible-utils (0.0.17+nmu1) ... Setting up libuchardet0:armhf (0.0.7-1) ... Setting up libsub-override-perl (0.09-4) ... Setting up libelf1:armhf (0.188-2.1) ... Setting up libxml2:armhf (2.9.14+dfsg-1.2) ... Setting up automake (1:1.16.5-1.3) ... update-alternatives: using /usr/bin/automake-1.16 to provide /usr/bin/automake (automake) in auto mode Setting up libfile-stripnondeterminism-perl (1.13.1-1) ... Setting up gettext (0.21-12) ... Setting up libgmp-dev:armhf (2:6.2.1+dfsg1-1.1) ... Setting up libtool (2.4.7-5) ... Setting up intltool-debian (0.35.0+20060710.6) ... Setting up dh-autoreconf (20) ... Setting up dh-strip-nondeterminism (1.13.1-1) ... Setting up dwz (0.15-1) ... Setting up groff-base (1.22.4-10) ... Setting up po-debconf (1.0.21+nmu1) ... Setting up man-db (2.11.2-2) ... Not building database; man-db/auto-update is not 'true'. Setting up debhelper (13.11.4) ... Processing triggers for libc-bin (2.36-9) ... Reading package lists... Building dependency tree... Reading state information... Reading extended state information... Initializing package states... Writing extended state information... Building tag database... -> Finished parsing the build-deps Reading package lists... Building dependency tree... Reading state information... usrmerge is already the newest version (35). 0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded. I: Building the package I: user script /srv/workspace/pbuilder/15577/tmp/hooks/A99_set_merged_usr starting Re-configuring usrmerge... removed '/etc/unsupported-skip-usrmerge-conversion' The system has been successfully converted. I: user script /srv/workspace/pbuilder/15577/tmp/hooks/A99_set_merged_usr finished hostname: Name or service not known I: Running cd /build/libmath-prime-util-gmp-perl-0.52/ && env PATH="/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/i/capture/the/path" HOME="/nonexistent/second-build" dpkg-buildpackage -us -uc -b && env PATH="/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/i/capture/the/path" HOME="/nonexistent/second-build" dpkg-genchanges -S > ../libmath-prime-util-gmp-perl_0.52-2_source.changes dpkg-buildpackage: info: source package libmath-prime-util-gmp-perl dpkg-buildpackage: info: source version 0.52-2 dpkg-buildpackage: info: source distribution unstable dpkg-buildpackage: info: source changed by Jelmer Vernooij dpkg-source --before-build . dpkg-buildpackage: info: host architecture armhf debian/rules clean dh clean debian/rules override_dh_auto_clean make[1]: Entering directory '/build/libmath-prime-util-gmp-perl-0.52' dh_auto_clean [ ! -d /build/libmath-prime-util-gmp-perl-0.52/inc.save ] || mv /build/libmath-prime-util-gmp-perl-0.52/inc.save /build/libmath-prime-util-gmp-perl-0.52/inc make[1]: Leaving directory '/build/libmath-prime-util-gmp-perl-0.52' dh_clean debian/rules binary dh binary dh_update_autotools_config dh_autoreconf debian/rules override_dh_auto_configure make[1]: Entering directory '/build/libmath-prime-util-gmp-perl-0.52' [ ! -d /build/libmath-prime-util-gmp-perl-0.52/inc ] || mv /build/libmath-prime-util-gmp-perl-0.52/inc /build/libmath-prime-util-gmp-perl-0.52/inc.save dh_auto_configure /usr/bin/perl Makefile.PL INSTALLDIRS=vendor "OPTIMIZE=-g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2" "LD=arm-linux-gnueabihf-gcc -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wl,-z,relro -Wl,-z,now" Checking if your kit is complete... Warning: the following files are missing in your kit: inc/Devel/CheckLib.pm Please inform the author. Generating a Unix-style Makefile Writing Makefile for Math::Prime::Util::GMP Writing MYMETA.yml and MYMETA.json make[1]: Leaving directory '/build/libmath-prime-util-gmp-perl-0.52' dh_auto_build make -j4 make[1]: Entering directory '/build/libmath-prime-util-gmp-perl-0.52' Running Mkbootstrap for GMP () arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" prime_iterator.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" utility.c chmod 644 "GMP.bs" arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" primality.c cp lib/Math/Prime/Util/GMP.pm blib/lib/Math/Prime/Util/GMP.pm arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" factor.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" pbrent63.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" squfof126.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" ecm.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" tinyqs.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" simpqs.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" bls75.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" ecpp.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" aks.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" gmp_main.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" real.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" isaac.c arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" random_prime.c "/usr/bin/perl" "/usr/share/perl/5.36/ExtUtils/xsubpp" -typemap '/usr/share/perl/5.36/ExtUtils/typemap' XS.xs > XS.xsc mv XS.xsc XS.c "/usr/bin/perl" -MExtUtils::Command::MM -e 'cp_nonempty' -- GMP.bs blib/arch/auto/Math/Prime/Util/GMP/GMP.bs 644 arm-linux-gnueabihf-gcc -c -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.52\" -DXS_VERSION=\"0.52\" -fPIC "-I/usr/lib/arm-linux-gnueabihf/perl/5.36/CORE" XS.c rm -f blib/arch/auto/Math/Prime/Util/GMP/GMP.so arm-linux-gnueabihf-gcc -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.52=. -fstack-protector-strong -Wformat -Werror=format-security -Wl,-z,relro -Wl,-z,now -shared -L/usr/local/lib -fstack-protector-strong prime_iterator.o utility.o primality.o factor.o pbrent63.o squfof126.o ecm.o tinyqs.o simpqs.o bls75.o ecpp.o aks.o gmp_main.o real.o isaac.o random_prime.o XS.o -o blib/arch/auto/Math/Prime/Util/GMP/GMP.so \ -lgmp -lm \ chmod 755 blib/arch/auto/Math/Prime/Util/GMP/GMP.so Manifying 1 pod document make[1]: Leaving directory '/build/libmath-prime-util-gmp-perl-0.52' dh_auto_test make -j4 test TEST_VERBOSE=1 make[1]: Entering directory '/build/libmath-prime-util-gmp-perl-0.52' "/usr/bin/perl" -MExtUtils::Command::MM -e 'cp_nonempty' -- GMP.bs blib/arch/auto/Math/Prime/Util/GMP/GMP.bs 644 PERL_DL_NONLAZY=1 "/usr/bin/perl" "-MExtUtils::Command::MM" "-MTest::Harness" "-e" "undef *Test::Harness::Switches; test_harness(1, 'blib/lib', 'blib/arch')" t/*.t t/01-load.t .................. 1..1 ok 1 - require Math::Prime::Util::GMP; ok t/02-can.t ................... 1..1 ok 1 - Math::Prime::Util::GMP->can(...) ok t/10-isprime.t ............... 1..227 ok 1 - 2 is prime ok 2 - 1 is not prime ok 3 - 0 is not prime ok 4 - -1 is not prime ok 5 - -2 is not prime ok 6 - 20 is not prime ok 7 - 2**2=4 is not prime ok 8 - 2**3=8 is not prime ok 9 - 2**4=16 is not prime ok 10 - 2**5=32 is not prime ok 11 - 2**6=64 is not prime ok 12 - 2**7=128 is not prime ok 13 - 2**8=256 is not prime ok 14 - 2**9=512 is not prime ok 15 - 2**10=1024 is not prime ok 16 - 2**11=2048 is not prime ok 17 - 2**12=4096 is not prime ok 18 - 2**13=8192 is not prime ok 19 - 2**14=16384 is not prime ok 20 - 2**15=32768 is not prime ok 21 - 2**16=65536 is not prime ok 22 - 2**17=131072 is not prime ok 23 - 2**18=262144 is not prime ok 24 - 2**19=524288 is not prime ok 25 - 2**20=1048576 is not prime ok 26 - is_prime 0..3572 ok 27 - A006945 number 9 is not prime ok 28 - A006945 number 2047 is not prime ok 29 - A006945 number 1373653 is not prime ok 30 - A006945 number 25326001 is not prime ok 31 - A006945 number 3215031751 is not prime ok 32 - A006945 number 2152302898747 is not prime ok 33 - A006945 number 3474749660383 is not prime ok 34 - A006945 number 341550071728321 is not prime ok 35 - A006945 number 341550071728321 is not prime ok 36 - A006945 number 3825123056546413051 is not prime ok 37 - Carmichael Number 561 is not prime ok 38 - Carmichael Number 1105 is not prime ok 39 - Carmichael Number 1729 is not prime ok 40 - Carmichael Number 2465 is not prime ok 41 - Carmichael Number 2821 is not prime ok 42 - Carmichael Number 6601 is not prime ok 43 - Carmichael Number 8911 is not prime ok 44 - Carmichael Number 10585 is not prime ok 45 - Carmichael Number 15841 is not prime ok 46 - Carmichael Number 29341 is not prime ok 47 - Carmichael Number 41041 is not prime ok 48 - Carmichael Number 46657 is not prime ok 49 - Carmichael Number 52633 is not prime ok 50 - Carmichael Number 62745 is not prime ok 51 - Carmichael Number 63973 is not prime ok 52 - Carmichael Number 75361 is not prime ok 53 - Carmichael Number 101101 is not prime ok 54 - Carmichael Number 340561 is not prime ok 55 - Carmichael Number 488881 is not prime ok 56 - Carmichael Number 852841 is not prime ok 57 - Carmichael Number 1857241 is not prime ok 58 - Carmichael Number 6733693 is not prime ok 59 - Carmichael Number 9439201 is not prime ok 60 - Carmichael Number 17236801 is not prime ok 61 - Carmichael Number 23382529 is not prime ok 62 - Carmichael Number 34657141 is not prime ok 63 - Carmichael Number 56052361 is not prime ok 64 - Carmichael Number 146843929 is not prime ok 65 - Carmichael Number 216821881 is not prime ok 66 - Pseudoprime (base 2) 341 is not prime ok 67 - Pseudoprime (base 2) 561 is not prime ok 68 - Pseudoprime (base 2) 645 is not prime ok 69 - Pseudoprime (base 2) 1105 is not prime ok 70 - Pseudoprime (base 2) 1387 is not prime ok 71 - Pseudoprime (base 2) 1729 is not prime ok 72 - Pseudoprime (base 2) 1905 is not prime ok 73 - Pseudoprime (base 2) 2047 is not prime ok 74 - Pseudoprime (base 2) 2465 is not prime ok 75 - Pseudoprime (base 2) 2701 is not prime ok 76 - Pseudoprime (base 2) 2821 is not prime ok 77 - Pseudoprime (base 2) 3277 is not prime ok 78 - Pseudoprime (base 2) 4033 is not prime ok 79 - Pseudoprime (base 2) 4369 is not prime ok 80 - Pseudoprime (base 2) 4371 is not prime ok 81 - Pseudoprime (base 2) 4681 is not prime ok 82 - Pseudoprime (base 2) 5461 is not prime ok 83 - Pseudoprime (base 2) 6601 is not prime ok 84 - Pseudoprime (base 2) 7957 is not prime ok 85 - Pseudoprime (base 2) 8321 is not prime ok 86 - Pseudoprime (base 2) 52633 is not prime ok 87 - Pseudoprime (base 2) 88357 is not prime ok 88 - Pseudoprime (base 3) 121 is not prime ok 89 - Pseudoprime (base 3) 703 is not prime ok 90 - Pseudoprime (base 3) 1891 is not prime ok 91 - Pseudoprime (base 3) 3281 is not prime ok 92 - Pseudoprime (base 3) 8401 is not prime ok 93 - Pseudoprime (base 3) 8911 is not prime ok 94 - Pseudoprime (base 3) 10585 is not prime ok 95 - Pseudoprime (base 3) 12403 is not prime ok 96 - Pseudoprime (base 3) 16531 is not prime ok 97 - Pseudoprime (base 3) 18721 is not prime ok 98 - Pseudoprime (base 3) 19345 is not prime ok 99 - Pseudoprime (base 3) 23521 is not prime ok 100 - Pseudoprime (base 3) 31621 is not prime ok 101 - Pseudoprime (base 3) 44287 is not prime ok 102 - Pseudoprime (base 3) 47197 is not prime ok 103 - Pseudoprime (base 3) 55969 is not prime ok 104 - Pseudoprime (base 3) 63139 is not prime ok 105 - Pseudoprime (base 3) 74593 is not prime ok 106 - Pseudoprime (base 3) 79003 is not prime ok 107 - Pseudoprime (base 3) 82513 is not prime ok 108 - Pseudoprime (base 3) 87913 is not prime ok 109 - Pseudoprime (base 3) 88573 is not prime ok 110 - Pseudoprime (base 3) 97567 is not prime ok 111 - Pseudoprime (base 5) 781 is not prime ok 112 - Pseudoprime (base 5) 1541 is not prime ok 113 - Pseudoprime (base 5) 5461 is not prime ok 114 - Pseudoprime (base 5) 5611 is not prime ok 115 - Pseudoprime (base 5) 7813 is not prime ok 116 - Pseudoprime (base 5) 13021 is not prime ok 117 - Pseudoprime (base 5) 14981 is not prime ok 118 - Pseudoprime (base 5) 15751 is not prime ok 119 - Pseudoprime (base 5) 24211 is not prime ok 120 - Pseudoprime (base 5) 25351 is not prime ok 121 - Pseudoprime (base 5) 29539 is not prime ok 122 - Pseudoprime (base 5) 38081 is not prime ok 123 - Pseudoprime (base 5) 40501 is not prime ok 124 - Pseudoprime (base 5) 44801 is not prime ok 125 - Pseudoprime (base 5) 53971 is not prime ok 126 - Pseudoprime (base 5) 79381 is not prime ok 127 - Primegap start 2 is prime ok 128 - Primegap start 3 is prime ok 129 - Primegap start 7 is prime ok 130 - Primegap start 23 is prime ok 131 - Primegap start 89 is prime ok 132 - Primegap start 113 is prime ok 133 - Primegap start 523 is prime ok 134 - Primegap start 887 is prime ok 135 - Primegap start 1129 is prime ok 136 - Primegap start 1327 is prime ok 137 - Primegap start 9551 is prime ok 138 - Primegap start 15683 is prime ok 139 - Primegap start 19609 is prime ok 140 - Primegap start 31397 is prime ok 141 - Primegap start 155921 is prime ok 142 - Primegap end 5 is prime ok 143 - Primegap end 11 is prime ok 144 - Primegap end 29 is prime ok 145 - Primegap end 97 is prime ok 146 - Primegap end 127 is prime ok 147 - Primegap end 541 is prime ok 148 - Primegap end 907 is prime ok 149 - Primegap end 1151 is prime ok 150 - Primegap end 1361 is prime ok 151 - Primegap end 9587 is prime ok 152 - Primegap end 15727 is prime ok 153 - Primegap end 19661 is prime ok 154 - Primegap end 31469 is prime ok 155 - Primegap end 156007 is prime ok 156 - Primegap end 360749 is prime ok 157 - Primegap end 370373 is prime ok 158 - Primegap end 492227 is prime ok 159 - Primegap end 1349651 is prime ok 160 - Primegap end 1357333 is prime ok 161 - Primegap end 2010881 is prime ok 162 - Primegap end 4652507 is prime ok 163 - Primegap end 17051887 is prime ok 164 - Primegap end 20831533 is prime ok 165 - Primegap end 47326913 is prime ok 166 - Primegap end 122164969 is prime ok 167 - Primegap end 189695893 is prime ok 168 - Primegap end 191913031 is prime ok 169 - Primegap end 10726905041 is prime ok 170 - Primegap end 387096383 is prime ok 171 - Primegap end 436273291 is prime ok 172 - Primegap end 1294268779 is prime ok 173 - Primegap end 1453168433 is prime ok 174 - Primegap end 2300942869 is prime ok 175 - Primegap end 3842611109 is prime ok 176 - Primegap end 4302407713 is prime ok 177 - Primegap end 20678048681 is prime ok 178 - Primegap end 22367085353 is prime ok 179 - Primegap end 25056082543 is prime ok 180 - Primegap end 42652618807 is prime ok 181 - Primegap end 127976334671 is prime ok 182 - Primegap end 182226896239 is prime ok 183 - Primegap end 241160624143 is prime ok 184 - Primegap end 297501075799 is prime ok 185 - Primegap end 303371455241 is prime ok 186 - Primegap end 304599508537 is prime ok 187 - Primegap end 416608695821 is prime ok 188 - Primegap end 461690510011 is prime ok 189 - Primegap end 614487453523 is prime ok 190 - Primegap end 738832927927 is prime ok 191 - Primegap end 1346294310749 is prime ok 192 - Primegap end 1408695493609 is prime ok 193 - Primegap end 1968188556461 is prime ok 194 - Primegap end 2614941710599 is prime ok 195 - Primegap end 7177162611713 is prime ok 196 - Primegap end 13829048559701 is prime ok 197 - Primegap end 19581334192423 is prime ok 198 - Primegap end 42842283925351 is prime ok 199 - Primegap end 90874329411493 is prime ok 200 - Primegap end 171231342420521 is prime ok 201 - Primegap end 1425172824437699411 is prime ok 202 - Primegap start 41437872381314257606025664648551531 is prime ok 203 - Primegap start 2533428381785258181145396408525147 is prime ok 204 - Primegap start 6429801387755251608076552195160813 is prime ok 205 - Primegap start 41553317381222258299076384479889759 is prime ok 206 - Primegap start 36315406071322208317982870602883 is prime ok 207 - Primegap start 45578379712061211117046756353187 is prime ok 208 - Primegap start 853188381785258606010648985968457 is prime ok 209 - Primegap start 888753381785258606882214366477061 is prime ok 210 - Large prime 225024267640198977569930286413453544441731198242501 is prime ok 211 - Large prime 117012619172903468336363755054149226979817746816041 is prime ok 212 - Large prime 531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728127 is prime ok 213 - Large prime 92751329613360357106269703807871171087102857318174669180345062763478315192734600581256686043065309145579066294614789483004809764977045757613701500430172705662998376708484136826337990209855359024352422688815970711638591317382567474931186571722543217265405033315880950490013269952667650366965082529384527374177 is prime ok 214 - Large prime 32260744804243979022151766262161234411163230832614876909266661009538736040353215637132894501612353010543647977249384696464608093622417037943487940297713136625578440884358987868505411720686648801150726329314235915696991593215969719047680808482063865275910410329176506289872973203004139815308900515515244012185782792865548320042281725631557473818091156913398618606687353487817756951894689296125125745219508443864021389470338722761499570221166792212754530607135317650463501248358538246234526221292291399209816873396728066128587613467291339613990745570031925686037674992827058364602015693306309221496407276025345897341847 is prime ok 215 - Large prime 741396953013654360447130328344036195463451575964208809937212804294129714670068945580433523222395982402982697545970774900776520388371921559613345658117858514521005297959953114279118002815246386498175953512848112483829848122269294444605330839657412152438182209874755797291767504531960060238286549305381539583199152421722832641143066110744833138611455286547147404482909367418917279008726128416147000372123061195691620902127739725422428617685907314016736926212798020427887587562043320485749196280067057894293080208114019557078624547720775548197602227651474547221582994513675272163167738690346545549988775205966423807402030104516784101084806845639397870429182441506430010222493085299118475419254862008744168191879396758301572743283703529570334803330960201229624052255881219905504918044357793149162118185478553170626317902665884547746435111999694067410243494584529487741658481642249023103753134680734412840328449909896847175077758262986499427135151069709448521414215035574272868281224727572369419529536625125298888387473824456936636521457187215362102409447089422614360505828034680296548026192715652255266408626555770777003931789812374333546088379306076791601248774333377106632994883876629562024348840502578094204183502272143692446875343057 is prime ok 216 - Large composite 777777777777777777777777 is not prime ok 217 - Large composite 877777777777777777777777 is not prime ok 218 - Large composite 87777777777777777777777795475 is not prime ok 219 - Large composite 890745785790123461234805903467891234681234 is not prime ok 220 - Large composite 318665857834031151167461 is not prime ok 221 - Large composite 3317044064679887385961981 is not prime ok 222 - Large composite 6003094289670105800312596501 is not prime ok 223 - Large composite 59276361075595573263446330101 is not prime ok 224 - Large composite 564132928021909221014087501701 is not prime ok 225 - Large composite 1543267864443420616877677640751301 is not prime ok 226 - is_prime(2**135+33) = 2 ok 227 - is_prime is deterministic for 81-bit input ok t/11-primes.t ................ 1..63 ok 1 - primes(undef) ok 2 - primes(a) ok 3 - primes(-4) ok 4 - primes(2,undef) ok 5 - primes(2,x) ok 6 - primes(2,-4) ok 7 - primes(undef,7) ok 8 - primes(x,7) ok 9 - primes(-10,7) ok 10 - primes(undef,undef) ok 11 - primes(x,x) ok 12 - primes(-10,-4) ok 13 - primes(2) should return [2] ok 14 - primes(20) should return [2 3 5 7 11 13 17 19] ok 15 - primes(0) should return [] ok 16 - primes(1) should return [] ok 17 - primes(7) should return [2 3 5 7] ok 18 - primes(5) should return [2 3 5] ok 19 - primes(19) should return [2 3 5 7 11 13 17 19] ok 20 - primes(18) should return [2 3 5 7 11 13 17] ok 21 - primes(3) should return [2 3] ok 22 - primes(11) should return [2 3 5 7 11] ok 23 - primes(6) should return [2 3 5] ok 24 - primes(4) should return [2 3] ok 25 - primes(2,2) should return [2] ok 26 - primes(2,3) should return [2 3] ok 27 - primes(20,2) should return [] ok 28 - primes(3089,3163) should return [3089 3109 3119 3121 3137 3163] ok 29 - primes(3088,3164) should return [3089 3109 3119 3121 3137 3163] ok 30 - primes(30,70) should return [31 37 41 43 47 53 59 61 67] ok 31 - primes(3090,3162) should return [3109 3119 3121 3137] ok 32 - primes(4,8) should return [5 7] ok 33 - primes(70,30) should return [] ok 34 - primes(3,3) should return [3] ok 35 - primes(2010733,2010881) should return [2010733 2010881] ok 36 - primes(3842610774,3842611108) should return [] ok 37 - primes(3,9) should return [3 5 7] ok 38 - primes(3,7) should return [3 5 7] ok 39 - primes(3842610773,3842611109) should return [3842610773 3842611109] ok 40 - primes(2,20) should return [2 3 5 7 11 13 17 19] ok 41 - primes(2010734,2010880) should return [] ok 42 - primes(2,5) should return [2 3 5] ok 43 - primes(3,6) should return [3 5] ok 44 - Primes between 1_693_182_318_746_371 and 1_693_182_318_747_671 ok 45 - primes( 2^66, 2^66 + 100 ) ok 46 - count primes within a range ok 47 - Primes between 0 and 3572 ok 48 - Primes between 2 and 20 ok 49 - Primes between 30 and 70 ok 50 - Primes between 30 and 70 ok 51 - Primes between 20 and 2 ok 52 - Primes between 1 and 1 ok 53 - Primes between 2 and 2 ok 54 - Primes between 3 and 3 ok 55 - Primegap 21 inclusive ok 56 - Primegap 21 exclusive ok 57 - Primes between 3088 and 3164 ok 58 - Primes between 3089 and 3163 ok 59 - Primes between 3090 and 3162 ok 60 - use sieve_primes to partial sieve a range ok 61 - use sieve_range to sieve a large range ok 62 - Sieve twin primes 10^30 10^30+20000 ok 63 - Sieve twin primes 10^30+4832 10^20+18738 should be empty ok t/12-nextprime.t ............. 1..29 ok 1 - prev_prime 0..3572 ok 2 - next_prime 0..3572 ok 3 - next prime of 19609 is 19609+52 ok 4 - prev prime of 19609+52 is 19609 ok 5 - next prime of 2010733 is 2010733+148 ok 6 - prev prime of 2010733+148 is 2010733 ok 7 - next prime of 360653 is 360653+96 ok 8 - prev prime of 360653+96 is 360653 ok 9 - next prime of 19608 is 19609 ok 10 - next prime of 19610 is 19661 ok 11 - next prime of 19660 is 19661 ok 12 - prev prime of 19662 is 19661 ok 13 - prev prime of 19660 is 19609 ok 14 - prev prime of 19610 is 19609 ok 15 - Previous prime of 2 returns undef ok 16 - next_prime(2010733..2010880) = 2010881 ok 17 - prev_prime(2010734..2010881) = 2010733 ok 18 - next_prime(1234567890) == 1234567891) ok 19 - next_prime(8756....73456) = 8756....73779 ok 20 - prev_prime(1353....31156) = 1353....30917 ok 21 - surround_primes(2) ok 22 - surround_primes(2) ok 23 - surround_primes(29384928409238) ok 24 - surround_primes(2^64) ok 25 - surround_primes(2^65+41) ok 26 - surround_primes(2^65+41,89) ok 27 - surround_primes(2^65+41,90) ok 28 - twin primes 10^x ok 29 - next_twin_prime on record gaps ok t/13-primecount.t ............ 1..239 ok 1 - prime_count(0,1) == 0 ok 2 - prime_count(0,2) == 1 ok 3 - prime_count(0,3) == 2 ok 4 - prime_count(2,2) == 2 ok 5 - Pi(100) = 25 ok 6 - Pi(65535) = 6542 ok 7 - Pi(10000) = 1229 ok 8 - Pi(10) = 4 ok 9 - Pi(1) = 0 ok 10 - Pi(1000) = 168 ok 11 - prime_count(24113483758197309440,24113483758197310396) = 23 ok 12 - prime_count(45490240575506677760,45490240575506679266) = 45 ok 13 - prime_count(75458848506302300160,75458848506302301114) = 18 ok 14 - prime_count(161891136728481923072,161891136728481923850) = 18 ok 15 - prime_count(342679779996280025856,342679779996280027487) = 36 ok 16 - prime_count(759817770139002651712,759817770139002652700) = 26 ok 17 - prime_count(1747599191389174303424,1747599191389174303464) = 1 ok 18 - prime_count(3277252439479060606848,3277252439479060607688) = 12 ok 19 - prime_count(6887003433586725213696,6887003433586725213705) = 0 ok 20 - prime_count(9515645314265862127392,9515645314265862128163) = 15 ok 21 - prime_count(26114788673620260854784,26114788673620260855763) = 17 ok 22 - prime_count(50021095190478561709568,50021095190478561710552) = 16 ok 23 - prime_count(99293609391529723419136,99293609391529723420902) = 20 ok 24 - prime_count(192328541043198946838272,192328541043198946839023) = 18 ok 25 - prime_count(386730387965240293676544,386730387965240293678117) = 29 ok 26 - prime_count(735479117913496587353088,735479117913496587354687) = 32 ok 27 - prime_count(1330998807397722174706176,1330998807397722174706347) = 3 ok 28 - prime_count(2904510561226220349412352,2904510561226220349413930) = 21 ok 29 - prime_count(6847845859597286698824704,6847845859597286698826460) = 26 ok 30 - prime_count(9880100064397462397649408,9880100064397462397650566) = 17 ok 31 - prime_count(27282839498809356795298816,27282839498809356795300564) = 23 ok 32 - prime_count(41281035060688503590597632,41281035060688503590598867) = 15 ok 33 - prime_count(90374604407955267181195264,90374604407955267181195457) = 2 ok 34 - prime_count(200915297903707834362390528,200915297903707834362391737) = 22 ok 35 - prime_count(407168505212786768724781056,407168505212786768724782199) = 16 ok 36 - prime_count(817226365950024137449562112,817226365950024137449563070) = 14 ok 37 - prime_count(1621795554319024274899124224,1621795554319024274899125678) = 18 ok 38 - prime_count(3660769329531840549798248448,3660769329531840549798250278) = 23 ok 39 - prime_count(7314734077273801099596496896,7314734077273801099596498034) = 16 ok 40 - prime_count(10921064834678012199192993792,10921064834678012199192994171) = 5 ok 41 - prime_count(24344155473536054398385987584,24344155473536054398385988831) = 14 ok 42 - prime_count(46348470312928428796771975168,46348470312928428796771976813) = 28 ok 43 - prime_count(90920702154966737593543950336,90920702154966737593543951561) = 19 ok 44 - prime_count(233651247954773375187087900672,233651247954773375187087901872) = 16 ok 45 - prime_count(396231658265327350374175801344,396231658265327350374175803015) = 25 ok 46 - prime_count(734317226076915700748351602688,734317226076915700748351602878) = 0 ok 47 - prime_count(1696551122155337401496703205376,1696551122155337401496703205528) = 1 ok 48 - prime_count(3100618561736693802993406410752,3100618561736693802993406411961) = 22 ok 49 - prime_count(6306554584349917605986812821504,6306554584349917605986812822041) = 9 ok 50 - prime_count(12897043632271155211973625643008,12897043632271155211973625643214) = 3 ok 51 - prime_count(27070533331838590423947251286016,27070533331838590423947251286519) = 5 ok 52 - prime_count(44933719679228300847894502572032,44933719679228300847894502574007) = 26 ok 53 - prime_count(92067632902534481695789005144064,92067632902534481695789005144486) = 7 ok 54 - prime_count(219741981610812063391578010288128,219741981610812063391578010289366) = 22 ok 55 - prime_count(441164516482197726783156020576256,441164516482197726783156020576737) = 5 ok 56 - prime_count(783694033185045453566312041152512,783694033185045453566312041152692) = 1 ok 57 - prime_count(1754258052575393907132624082305024,1754258052575393907132624082305337) = 4 ok 58 - prime_count(3291172491135828814265248164610048,3291172491135828814265248164611897) = 21 ok 59 - prime_count(5255505796082429028530496329220096,5255505796082429028530496329221910) = 27 ok 60 - prime_count(12176969828012415257060992658440192,12176969828012415257060992658440427) = 5 ok 61 - prime_count(22889636161029770514121985316880384,22889636161029770514121985316881826) = 17 ok 62 - prime_count(44359130889092671028243970633760768,44359130889092671028243970633762444) = 17 ok 63 - prime_count(94248617103459242056487941267521536,94248617103459242056487941267522522) = 16 ok 64 - prime_count(191861723074481884112975882535043072,191861723074481884112975882535043603) = 10 ok 65 - prime_count(396766049747924068225951765070086144,396766049747924068225951765070087394) = 10 ok 66 - prime_count(884985931172514936451903530140172288,884985931172514936451903530140172881) = 9 ok 67 - prime_count(1969978340430920872903807060280344576,1969978340430920872903807060280346393) = 17 ok 68 - prime_count_lower(2^3) <= 4 ok 69 - prime_count_upper(2^3) >= 4 ok 70 - prime_count_lower(2^7) <= 31 ok 71 - prime_count_upper(2^7) >= 31 ok 72 - prime_count_lower(2^11) <= 309 ok 73 - prime_count_upper(2^11) >= 309 ok 74 - prime_count_lower(2^68) <= 6400771597544937806 ok 75 - prime_count_upper(2^68) >= 6400771597544937806 ok 76 - prime_count_lower(2^19) <= 43390 ok 77 - prime_count_upper(2^19) >= 43390 ok 78 - prime_count_lower(2^20) <= 82025 ok 79 - prime_count_upper(2^20) >= 82025 ok 80 - prime_count_lower(2^66) <= 1649819700464785589 ok 81 - prime_count_upper(2^66) >= 1649819700464785589 ok 82 - prime_count_lower(2^43) <= 305761713237 ok 83 - prime_count_upper(2^43) >= 305761713237 ok 84 - prime_count_lower(2^14) <= 1900 ok 85 - prime_count_upper(2^14) >= 1900 ok 86 - prime_count_lower(2^53) <= 252252704148404 ok 87 - prime_count_upper(2^53) >= 252252704148404 ok 88 - prime_count_lower(2^77) <= 2886507381056867953916 ok 89 - prime_count_upper(2^77) >= 2886507381056867953916 ok 90 - prime_count_lower(2^37) <= 5586502348 ok 91 - prime_count_upper(2^37) >= 5586502348 ok 92 - prime_count_lower(2^58) <= 7357400267843990 ok 93 - prime_count_upper(2^58) >= 7357400267843990 ok 94 - prime_count_lower(2^46) <= 2280998753949 ok 95 - prime_count_upper(2^46) >= 2280998753949 ok 96 - prime_count_lower(2^81) <= 43860397052947409356492 ok 97 - prime_count_upper(2^81) >= 43860397052947409356492 ok 98 - prime_count_lower(2^22) <= 295947 ok 99 - prime_count_upper(2^22) >= 295947 ok 100 - prime_count_lower(2^48) <= 8731188863470 ok 101 - prime_count_upper(2^48) >= 8731188863470 ok 102 - prime_count_lower(2^56) <= 1906879381028850 ok 103 - prime_count_upper(2^56) >= 1906879381028850 ok 104 - prime_count_lower(2^84) <= 338124238545210097236684 ok 105 - prime_count_upper(2^84) >= 338124238545210097236684 ok 106 - prime_count_lower(2^75) <= 741263521140740113483 ok 107 - prime_count_upper(2^75) >= 741263521140740113483 ok 108 - prime_count_lower(2^63) <= 216289611853439384 ok 109 - prime_count_upper(2^63) >= 216289611853439384 ok 110 - prime_count_lower(2^35) <= 1480206279 ok 111 - prime_count_upper(2^35) >= 1480206279 ok 112 - prime_count_lower(2^13) <= 1028 ok 113 - prime_count_upper(2^13) >= 1028 ok 114 - prime_count_lower(2^44) <= 597116381732 ok 115 - prime_count_upper(2^44) >= 597116381732 ok 116 - prime_count_lower(2^54) <= 494890204904784 ok 117 - prime_count_upper(2^54) >= 494890204904784 ok 118 - prime_count_lower(2^32) <= 203280221 ok 119 - prime_count_upper(2^32) >= 203280221 ok 120 - prime_count_lower(2^72) <= 96601075195075186855 ok 121 - prime_count_upper(2^72) >= 96601075195075186855 ok 122 - prime_count_lower(2^25) <= 2063689 ok 123 - prime_count_upper(2^25) >= 2063689 ok 124 - prime_count_lower(2^41) <= 80316571436 ok 125 - prime_count_upper(2^41) >= 80316571436 ok 126 - prime_count_lower(2^59) <= 14458792895301660 ok 127 - prime_count_upper(2^59) >= 14458792895301660 ok 128 - prime_count_lower(2^86) <= 1320486952377516565496055 ok 129 - prime_count_upper(2^86) >= 1320486952377516565496055 ok 130 - prime_count_lower(2^49) <= 17094432576778 ok 131 - prime_count_upper(2^49) >= 17094432576778 ok 132 - prime_count_lower(2^51) <= 65612899915304 ok 133 - prime_count_upper(2^51) >= 65612899915304 ok 134 - prime_count_lower(2^30) <= 54400028 ok 135 - prime_count_upper(2^30) >= 54400028 ok 136 - prime_count_lower(2^70) <= 24855455363362685793 ok 137 - prime_count_upper(2^70) >= 24855455363362685793 ok 138 - prime_count_lower(2^83) <= 171136408646923240987028 ok 139 - prime_count_upper(2^83) >= 171136408646923240987028 ok 140 - prime_count_lower(2^64) <= 425656284035217743 ok 141 - prime_count_upper(2^64) >= 425656284035217743 ok 142 - prime_count_lower(2^9) <= 97 ok 143 - prime_count_upper(2^9) >= 97 ok 144 - prime_count_lower(2^2) <= 2 ok 145 - prime_count_upper(2^2) >= 2 ok 146 - prime_count_lower(2^16) <= 6542 ok 147 - prime_count_upper(2^16) >= 6542 ok 148 - prime_count_lower(2^69) <= 12611864618760352880 ok 149 - prime_count_upper(2^69) >= 12611864618760352880 ok 150 - prime_count_lower(2^27) <= 7603553 ok 151 - prime_count_upper(2^27) >= 7603553 ok 152 - prime_count_lower(2^61) <= 55890484045084135 ok 153 - prime_count_upper(2^61) >= 55890484045084135 ok 154 - prime_count_lower(2^18) <= 23000 ok 155 - prime_count_upper(2^18) >= 23000 ok 156 - prime_count_lower(2^10) <= 172 ok 157 - prime_count_upper(2^10) >= 172 ok 158 - prime_count_lower(2^67) <= 3249254387052557215 ok 159 - prime_count_upper(2^67) >= 3249254387052557215 ok 160 - prime_count_lower(2^29) <= 28192750 ok 161 - prime_count_upper(2^29) >= 28192750 ok 162 - prime_count_lower(2^55) <= 971269945245201 ok 163 - prime_count_upper(2^55) >= 971269945245201 ok 164 - prime_count_lower(2^82) <= 86631124695994360074872 ok 165 - prime_count_upper(2^82) >= 86631124695994360074872 ok 166 - prime_count_lower(2^45) <= 1166746786182 ok 167 - prime_count_upper(2^45) >= 1166746786182 ok 168 - prime_count_lower(2^21) <= 155611 ok 169 - prime_count_upper(2^21) >= 155611 ok 170 - prime_count_lower(2^36) <= 2874398515 ok 171 - prime_count_upper(2^36) >= 2874398515 ok 172 - prime_count_lower(2^76) <= 1462626667154509638735 ok 173 - prime_count_upper(2^76) >= 1462626667154509638735 ok 174 - prime_count_lower(2^6) <= 18 ok 175 - prime_count_upper(2^6) >= 18 ok 176 - prime_count_lower(2^78) <= 5697549648954257752872 ok 177 - prime_count_upper(2^78) >= 5697549648954257752872 ok 178 - prime_count_lower(2^24) <= 1077871 ok 179 - prime_count_upper(2^24) >= 1077871 ok 180 - prime_count_lower(2^38) <= 10866266172 ok 181 - prime_count_upper(2^38) >= 10866266172 ok 182 - prime_count_lower(2^57) <= 3745011184713964 ok 183 - prime_count_upper(2^57) >= 3745011184713964 ok 184 - prime_count_lower(2^73) <= 190499823401327905601 ok 185 - prime_count_upper(2^73) >= 190499823401327905601 ok 186 - prime_count_lower(2^80) <= 22209558889635384205844 ok 187 - prime_count_upper(2^80) >= 22209558889635384205844 ok 188 - prime_count_lower(2^33) <= 393615806 ok 189 - prime_count_upper(2^33) >= 393615806 ok 190 - prime_count_lower(2^65) <= 837903145466607212 ok 191 - prime_count_upper(2^65) >= 837903145466607212 ok 192 - prime_count_lower(2^47) <= 4461632979717 ok 193 - prime_count_upper(2^47) >= 4461632979717 ok 194 - prime_count_lower(2^12) <= 564 ok 195 - prime_count_upper(2^12) >= 564 ok 196 - prime_count_lower(2^4) <= 6 ok 197 - prime_count_upper(2^4) >= 6 ok 198 - prime_count_lower(2^5) <= 11 ok 199 - prime_count_upper(2^5) >= 11 ok 200 - prime_count_lower(2^8) <= 54 ok 201 - prime_count_upper(2^8) >= 54 ok 202 - prime_count_lower(2^23) <= 564163 ok 203 - prime_count_upper(2^23) >= 564163 ok 204 - prime_count_lower(2^62) <= 109932807585469973 ok 205 - prime_count_upper(2^62) >= 109932807585469973 ok 206 - prime_count_lower(2^40) <= 41203088796 ok 207 - prime_count_upper(2^40) >= 41203088796 ok 208 - prime_count_lower(2^15) <= 3512 ok 209 - prime_count_upper(2^15) >= 3512 ok 210 - prime_count_lower(2^50) <= 33483379603407 ok 211 - prime_count_upper(2^50) >= 33483379603407 ok 212 - prime_count_lower(2^31) <= 105097565 ok 213 - prime_count_upper(2^31) >= 105097565 ok 214 - prime_count_lower(2^1) <= 1 ok 215 - prime_count_upper(2^1) >= 1 ok 216 - prime_count_lower(2^71) <= 48995571600129458363 ok 217 - prime_count_upper(2^71) >= 48995571600129458363 ok 218 - prime_count_lower(2^39) <= 21151907950 ok 219 - prime_count_upper(2^39) >= 21151907950 ok 220 - prime_count_lower(2^79) <= 11248065615133675809379 ok 221 - prime_count_upper(2^79) >= 11248065615133675809379 ok 222 - prime_count_lower(2^52) <= 128625503610475 ok 223 - prime_count_upper(2^52) >= 128625503610475 ok 224 - prime_count_lower(2^28) <= 14630843 ok 225 - prime_count_upper(2^28) >= 14630843 ok 226 - prime_count_lower(2^34) <= 762939111 ok 227 - prime_count_upper(2^34) >= 762939111 ok 228 - prime_count_lower(2^74) <= 375744164937699609596 ok 229 - prime_count_upper(2^74) >= 375744164937699609596 ok 230 - prime_count_lower(2^26) <= 3957809 ok 231 - prime_count_upper(2^26) >= 3957809 ok 232 - prime_count_lower(2^60) <= 28423094496953330 ok 233 - prime_count_upper(2^60) >= 28423094496953330 ok 234 - prime_count_lower(2^17) <= 12251 ok 235 - prime_count_upper(2^17) >= 12251 ok 236 - prime_count_lower(2^42) <= 156661034233 ok 237 - prime_count_upper(2^42) >= 156661034233 ok 238 - prime_count_lower(2^85) <= 668150111666935905701562 ok 239 - prime_count_upper(2^85) >= 668150111666935905701562 ok t/15-probprime.t ............. 1..149 ok 1 - 2 is prime ok 2 - 1 is not prime ok 3 - 0 is not prime ok 4 - -1 is not prime ok 5 - -2 is not prime ok 6 - 20 is not prime ok 7 - A006945 number 9 is not prime ok 8 - A006945 number 2047 is not prime ok 9 - A006945 number 1373653 is not prime ok 10 - A006945 number 25326001 is not prime ok 11 - A006945 number 3215031751 is not prime ok 12 - A006945 number 2152302898747 is not prime ok 13 - A006945 number 3474749660383 is not prime ok 14 - A006945 number 341550071728321 is not prime ok 15 - A006945 number 341550071728321 is not prime ok 16 - A006945 number 3825123056546413051 is not prime ok 17 - Carmichael Number 561 is not prime ok 18 - Carmichael Number 1105 is not prime ok 19 - Carmichael Number 1729 is not prime ok 20 - Carmichael Number 2465 is not prime ok 21 - Carmichael Number 2821 is not prime ok 22 - Carmichael Number 6601 is not prime ok 23 - Carmichael Number 8911 is not prime ok 24 - Carmichael Number 10585 is not prime ok 25 - Carmichael Number 15841 is not prime ok 26 - Carmichael Number 29341 is not prime ok 27 - Carmichael Number 41041 is not prime ok 28 - Carmichael Number 46657 is not prime ok 29 - Carmichael Number 52633 is not prime ok 30 - Carmichael Number 62745 is not prime ok 31 - Carmichael Number 63973 is not prime ok 32 - Carmichael Number 75361 is not prime ok 33 - Carmichael Number 101101 is not prime ok 34 - Carmichael Number 340561 is not prime ok 35 - Carmichael Number 488881 is not prime ok 36 - Carmichael Number 852841 is not prime ok 37 - Carmichael Number 1857241 is not prime ok 38 - Carmichael Number 6733693 is not prime ok 39 - Carmichael Number 9439201 is not prime ok 40 - Carmichael Number 17236801 is not prime ok 41 - Carmichael Number 23382529 is not prime ok 42 - Carmichael Number 34657141 is not prime ok 43 - Carmichael Number 56052361 is not prime ok 44 - Carmichael Number 146843929 is not prime ok 45 - Carmichael Number 216821881 is not prime ok 46 - Pseudoprime (base 2) 341 is not prime ok 47 - Pseudoprime (base 2) 561 is not prime ok 48 - Pseudoprime (base 2) 645 is not prime ok 49 - Pseudoprime (base 2) 1105 is not prime ok 50 - Pseudoprime (base 2) 1387 is not prime ok 51 - Pseudoprime (base 2) 1729 is not prime ok 52 - Pseudoprime (base 2) 1905 is not prime ok 53 - Pseudoprime (base 2) 2047 is not prime ok 54 - Pseudoprime (base 2) 2465 is not prime ok 55 - Pseudoprime (base 2) 2701 is not prime ok 56 - Pseudoprime (base 2) 2821 is not prime ok 57 - Pseudoprime (base 2) 3277 is not prime ok 58 - Pseudoprime (base 2) 4033 is not prime ok 59 - Pseudoprime (base 2) 4369 is not prime ok 60 - Pseudoprime (base 2) 4371 is not prime ok 61 - Pseudoprime (base 2) 4681 is not prime ok 62 - Pseudoprime (base 2) 5461 is not prime ok 63 - Pseudoprime (base 2) 6601 is not prime ok 64 - Pseudoprime (base 2) 7957 is not prime ok 65 - Pseudoprime (base 2) 8321 is not prime ok 66 - Pseudoprime (base 2) 52633 is not prime ok 67 - Pseudoprime (base 2) 88357 is not prime ok 68 - Pseudoprime (base 3) 121 is not prime ok 69 - Pseudoprime (base 3) 703 is not prime ok 70 - Pseudoprime (base 3) 1891 is not prime ok 71 - Pseudoprime (base 3) 3281 is not prime ok 72 - Pseudoprime (base 3) 8401 is not prime ok 73 - Pseudoprime (base 3) 8911 is not prime ok 74 - Pseudoprime (base 3) 10585 is not prime ok 75 - Pseudoprime (base 3) 12403 is not prime ok 76 - Pseudoprime (base 3) 16531 is not prime ok 77 - Pseudoprime (base 3) 18721 is not prime ok 78 - Pseudoprime (base 3) 19345 is not prime ok 79 - Pseudoprime (base 3) 23521 is not prime ok 80 - Pseudoprime (base 3) 31621 is not prime ok 81 - Pseudoprime (base 3) 44287 is not prime ok 82 - Pseudoprime (base 3) 47197 is not prime ok 83 - Pseudoprime (base 3) 55969 is not prime ok 84 - Pseudoprime (base 3) 63139 is not prime ok 85 - Pseudoprime (base 3) 74593 is not prime ok 86 - Pseudoprime (base 3) 79003 is not prime ok 87 - Pseudoprime (base 3) 82513 is not prime ok 88 - Pseudoprime (base 3) 87913 is not prime ok 89 - Pseudoprime (base 3) 88573 is not prime ok 90 - Pseudoprime (base 3) 97567 is not prime ok 91 - Pseudoprime (base 5) 781 is not prime ok 92 - Pseudoprime (base 5) 1541 is not prime ok 93 - Pseudoprime (base 5) 5461 is not prime ok 94 - Pseudoprime (base 5) 5611 is not prime ok 95 - Pseudoprime (base 5) 7813 is not prime ok 96 - Pseudoprime (base 5) 13021 is not prime ok 97 - Pseudoprime (base 5) 14981 is not prime ok 98 - Pseudoprime (base 5) 15751 is not prime ok 99 - Pseudoprime (base 5) 24211 is not prime ok 100 - Pseudoprime (base 5) 25351 is not prime ok 101 - Pseudoprime (base 5) 29539 is not prime ok 102 - Pseudoprime (base 5) 38081 is not prime ok 103 - Pseudoprime (base 5) 40501 is not prime ok 104 - Pseudoprime (base 5) 44801 is not prime ok 105 - Pseudoprime (base 5) 53971 is not prime ok 106 - Pseudoprime (base 5) 79381 is not prime ok 107 - Primegap start 2 is prime ok 108 - Primegap start 3 is prime ok 109 - Primegap start 7 is prime ok 110 - Primegap start 23 is prime ok 111 - Primegap start 89 is prime ok 112 - Primegap start 113 is prime ok 113 - Primegap start 523 is prime ok 114 - Primegap start 887 is prime ok 115 - Primegap start 1129 is prime ok 116 - Primegap start 1327 is prime ok 117 - Primegap start 9551 is prime ok 118 - Primegap start 15683 is prime ok 119 - Primegap start 19609 is prime ok 120 - Primegap start 31397 is prime ok 121 - Primegap start 155921 is prime ok 122 - Primegap end 5 is prime ok 123 - Primegap end 11 is prime ok 124 - Primegap end 29 is prime ok 125 - Primegap end 97 is prime ok 126 - Primegap end 127 is prime ok 127 - Primegap end 541 is prime ok 128 - Primegap end 907 is prime ok 129 - Primegap end 1151 is prime ok 130 - Primegap end 1361 is prime ok 131 - Primegap end 9587 is prime ok 132 - Primegap end 15727 is prime ok 133 - Primegap end 19661 is prime ok 134 - Primegap end 31469 is prime ok 135 - Primegap end 156007 is prime ok 136 - Primegap end 360749 is prime ok 137 - Primegap end 370373 is prime ok 138 - Primegap end 492227 is prime ok 139 - Primegap end 1349651 is prime ok 140 - Primegap end 1357333 is prime ok 141 - Primegap end 2010881 is prime ok 142 - Primegap end 4652507 is prime ok 143 - Primegap end 17051887 is prime ok 144 - Primegap end 20831533 is prime ok 145 - Primegap end 47326913 is prime ok 146 - Primegap end 122164969 is prime ok 147 - Primegap end 189695893 is prime ok 148 - Primegap end 191913031 is prime ok 149 - Primegap end 10726905041 is prime ok t/16-provableprime.t ......... 1..138 ok 1 - 2 is prime ok 2 - 1 is not prime ok 3 - 0 is not prime ok 4 - -1 is not prime ok 5 - -2 is not prime ok 6 - 20 is not prime ok 7 - 2152302898747 is not prime ok 8 - 3474749660383 is not prime ok 9 - 341550071728321 is not prime ok 10 - 341550071728321 is not prime ok 11 - 3825123056546413051 is not prime ok 12 - 561 is not prime ok 13 - 1105 is not prime ok 14 - 1729 is not prime ok 15 - 2465 is not prime ok 16 - 2821 is not prime ok 17 - 6601 is not prime ok 18 - 8911 is not prime ok 19 - 10585 is not prime ok 20 - 15841 is not prime ok 21 - 29341 is not prime ok 22 - 41041 is not prime ok 23 - 46657 is not prime ok 24 - 52633 is not prime ok 25 - 4681 is not prime ok 26 - 5461 is not prime ok 27 - 6601 is not prime ok 28 - 7957 is not prime ok 29 - 8321 is not prime ok 30 - 52633 is not prime ok 31 - 88357 is not prime ok 32 - 44287 is not prime ok 33 - 47197 is not prime ok 34 - 55969 is not prime ok 35 - 63139 is not prime ok 36 - 74593 is not prime ok 37 - 79003 is not prime ok 38 - 82513 is not prime ok 39 - 87913 is not prime ok 40 - 88573 is not prime ok 41 - 97567 is not prime ok 42 - 44801 is not prime ok 43 - 53971 is not prime ok 44 - 79381 is not prime ok 45 - 2 is prime ok 46 - 3 is prime ok 47 - 7 is prime ok 48 - 23 is prime ok 49 - 89 is prime ok 50 - 113 is prime ok 51 - 523 is prime ok 52 - 887 is prime ok 53 - 1129 is prime ok 54 - 1327 is prime ok 55 - 9551 is prime ok 56 - 15683 is prime ok 57 - 19609 is prime ok 58 - 31397 is prime ok 59 - 155921 is prime ok 60 - 5 is prime ok 61 - 11 is prime ok 62 - 29 is prime ok 63 - 97 is prime ok 64 - 127 is prime ok 65 - 541 is prime ok 66 - 907 is prime ok 67 - 1151 is prime ok 68 - 1361 is prime ok 69 - 9587 is prime ok 70 - 15727 is prime ok 71 - 19661 is prime ok 72 - 31469 is prime ok 73 - 156007 is prime ok 74 - 360749 is prime ok 75 - 370373 is prime ok 76 - 492227 is prime ok 77 - 1349651 is prime ok 78 - 1357333 is prime ok 79 - 2010881 is prime ok 80 - 4652507 is prime ok 81 - 17051887 is prime ok 82 - 20831533 is prime ok 83 - 47326913 is prime ok 84 - 122164969 is prime ok 85 - 189695893 is prime ok 86 - 191913031 is prime ok 87 - 10726905041 is prime ok 88 - 9223372036854775837 is prime ok 89 - 18446744073709551629 is prime ok 90 - 73786976294838206473 is prime ok 91 - 147573952589676412931 is prime ok 92 - 295147905179352825889 is prime ok 93 - 590295810358705651741 is prime ok 94 - 1180591620717411303449 is prime ok 95 - 2361183241434822606859 is prime ok 96 - 18889465931478580854821 is prime ok 97 - 37778931862957161709601 is prime ok 98 - 75557863725914323419151 is prime ok 99 - 302231454903657293676551 is prime ok 100 - 604462909807314587353111 is prime ok 101 - 38685626227668133590597803 is prime ok 102 - 1237940039285380274899124357 is prime ok 103 - 9903520314283042199192993897 is prime ok 104 - 316912650057057350374175801351 is prime ok 105 - 2535301200456458802993406410833 is prime ok 106 - 162259276829213363391578010288167 is prime ok 107 - 1298074214633706907132624082305051 is prime ok 108 - 10384593717069655257060992658440473 is prime ok 109 - 1329227995784915872903807060280345027 is prime ok 110 - 680564733841876926926749214863536422929 is prime ok 111 - 43556142965880123323311949751266331066401 is prime ok 112 - 87112285931760246646623899502532662132821 is prime ok 113 - 713623846352979940529142984724747568191373381 is prime ok 114 - 2854495385411919762116571938898990272765493293 is prime ok 115 - 196159429230833773869868419475239575503198607639501078831 is prime ok 116 - 3138550867693340381917894711603833208051177722232017256453 is prime ok 117 - 12554203470773361527671578846415332832204710888928069025857 is prime ok 118 - 102844034832575377634685573909834406561420991602098741459288097 is prime ok 119 - 210624583337114373395836055367340864637790190801098222508621955201 is prime ok 120 - 14821387422376473014217086081112052205218558037201992197050570753012880593911817 is prime ok 121 - 3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521039 is prime ok 122 - is_prime(2**128+51) = 2 ok 123 - is_provable_prime(2**128+165) == 2 ok 124 - is_provable_prime_with_cert(0) ok 125 - is_provable_prime_with_cert(2) ok 126 - is_provable_prime_with_cert(96953) ok 127 - is_provable_prime_with_cert(848301847013166693538593241183) ok 128 - is_provable_prime_with_cert(316912650057057350374175801351) ok 129 - is_provable_prime_with_cert(3138550867693340381917894711603833208051177722232017256453) is prime ok 130 - is_provable_prime_with_cert(3138550867693340381917894711603833208051177722232017256453) ok 131 - is_aks_prime(74903) ok 132 - is_miller_prime(4835703278458516698824747) ok 133 - is_miller_prime(4835703278458516698824747,1) ok 134 - is_nminus1_prime(340282366920938463463374607431768211507) ok 135 - is_nplus1_prime(391) is false ok 136 - is_nplus1_prime(63699643930293116661668059033734770664712983894089510286262271) ok 137 - is_bls75_prime(19568952034128395861091890269105913923337787205640409156470109155604436042237347889151) ok 138 - is_ecpp_prime(340282366920938463463374607431768211507) ok t/17-pseudoprime.t ........... 1..1093 ok 1 - is_strong_pseudoprime with no base fails ok 2 - is_strong_pseudoprime with base undef fails ok 3 - is_strong_pseudoprime with base '' fails ok 4 - is_strong_pseudoprime with base 0 fails ok 5 - is_strong_pseudoprime with base 1 fails ok 6 - is_strong_pseudoprime with base -7 fails ok 7 - is_strong_pseudoprime(undef,2) is invalid ok 8 - is_strong_pseudoprime('',2) is invalid ok 9 - is_strong_pseudoprime(-7,2) is invalid ok 10 - is_strong_lucas_pseudoprime(undef) is invalid ok 11 - is_strong_lucas_pseudoprime('') is invalid ok 12 - is_strong_lucas_pseudoprime(-7) is invalid ok 13 - spsp(0, 2) shortcut composite ok 14 - spsp(1, 2) shortcut composite ok 15 - spsp(2, 2) shortcut prime ok 16 - spsp(2, 2) shortcut prime ok 17 - slpsp(1) shortcut composite ok 18 - slpsp(3) shortcut prime ok 19 - Pseudoprime (base 19) 9 passes MR ok 20 - Pseudoprime (base 19) 49 passes MR ok 21 - Pseudoprime (base 19) 169 passes MR ok 22 - Pseudoprime (base 19) 343 passes MR ok 23 - Pseudoprime (base 19) 1849 passes MR ok 24 - Pseudoprime (base 19) 2353 passes MR ok 25 - Pseudoprime (base 19) 2701 passes MR ok 26 - Pseudoprime (base 19) 4033 passes MR ok 27 - Pseudoprime (base 19) 4681 passes MR ok 28 - Pseudoprime (base 19) 6541 passes MR ok 29 - Pseudoprime (base 19) 6697 passes MR ok 30 - Pseudoprime (base 19) 7957 passes MR ok 31 - Pseudoprime (base 19) 9997 passes MR ok 32 - Pseudoprime (base 19) 12403 passes MR ok 33 - Pseudoprime (base 19) 13213 passes MR ok 34 - Pseudoprime (base 19) 13747 passes MR ok 35 - Pseudoprime (base 19) 15251 passes MR ok 36 - Pseudoprime (base 19) 16531 passes MR ok 37 - Pseudoprime (base 19) 18769 passes MR ok 38 - Pseudoprime (base 19) 19729 passes MR ok 39 - Pseudoprime (base 19) 24761 passes MR ok 40 - Pseudoprime (base 19) 30589 passes MR ok 41 - Pseudoprime (base 19) 31621 passes MR ok 42 - Pseudoprime (base 19) 31861 passes MR ok 43 - Pseudoprime (base 19) 32477 passes MR ok 44 - Pseudoprime (base 19) 41003 passes MR ok 45 - Pseudoprime (base 19) 49771 passes MR ok 46 - Pseudoprime (base 19) 63139 passes MR ok 47 - Pseudoprime (base 19) 64681 passes MR ok 48 - Pseudoprime (base 19) 65161 passes MR ok 49 - Pseudoprime (base 19) 66421 passes MR ok 50 - Pseudoprime (base 19) 68257 passes MR ok 51 - Pseudoprime (base 19) 73555 passes MR ok 52 - Pseudoprime (base 19) 96049 passes MR ok 53 - 1729 is an Euler-Plumb pseudoprime ok 54 - 1905 is an Euler-Plumb pseudoprime ok 55 - 2047 is an Euler-Plumb pseudoprime ok 56 - 2465 is an Euler-Plumb pseudoprime ok 57 - 3277 is an Euler-Plumb pseudoprime ok 58 - 4033 is an Euler-Plumb pseudoprime ok 59 - 4681 is an Euler-Plumb pseudoprime ok 60 - 8321 is an Euler-Plumb pseudoprime ok 61 - 12801 is an Euler-Plumb pseudoprime ok 62 - 15841 is an Euler-Plumb pseudoprime ok 63 - 16705 is an Euler-Plumb pseudoprime ok 64 - 18705 is an Euler-Plumb pseudoprime ok 65 - 25761 is an Euler-Plumb pseudoprime ok 66 - 29341 is an Euler-Plumb pseudoprime ok 67 - 33153 is an Euler-Plumb pseudoprime ok 68 - 34945 is an Euler-Plumb pseudoprime ok 69 - 41041 is an Euler-Plumb pseudoprime ok 70 - 42799 is an Euler-Plumb pseudoprime ok 71 - 46657 is an Euler-Plumb pseudoprime ok 72 - 49141 is an Euler-Plumb pseudoprime ok 73 - 52633 is an Euler-Plumb pseudoprime ok 74 - 65281 is an Euler-Plumb pseudoprime ok 75 - 74665 is an Euler-Plumb pseudoprime ok 76 - 75361 is an Euler-Plumb pseudoprime ok 77 - 80581 is an Euler-Plumb pseudoprime ok 78 - 85489 is an Euler-Plumb pseudoprime ok 79 - 87249 is an Euler-Plumb pseudoprime ok 80 - 88357 is an Euler-Plumb pseudoprime ok 81 - 90751 is an Euler-Plumb pseudoprime ok 82 - Pseudoprime (base 1340600841) 1345289261 passes MR ok 83 - Pseudoprime (base 1340600841) 1345582981 passes MR ok 84 - Pseudoprime (base 1340600841) 1347743101 passes MR ok 85 - Pseudoprime (base 1340600841) 1348964401 passes MR ok 86 - Pseudoprime (base 1340600841) 1350371821 passes MR ok 87 - Pseudoprime (base 1340600841) 1353332417 passes MR ok 88 - Pseudoprime (base 1340600841) 1355646961 passes MR ok 89 - Pseudoprime (base 1340600841) 1357500901 passes MR ok 90 - Pseudoprime (base 1340600841) 1361675929 passes MR ok 91 - Pseudoprime (base 1340600841) 1364378203 passes MR ok 92 - Pseudoprime (base 1340600841) 1366346521 passes MR ok 93 - Pseudoprime (base 1340600841) 1367104639 passes MR ok 94 - Pseudoprime (base 17) 9 passes MR ok 95 - Pseudoprime (base 17) 91 passes MR ok 96 - Pseudoprime (base 17) 145 passes MR ok 97 - Pseudoprime (base 17) 781 passes MR ok 98 - Pseudoprime (base 17) 1111 passes MR ok 99 - Pseudoprime (base 17) 2821 passes MR ok 100 - Pseudoprime (base 17) 4033 passes MR ok 101 - Pseudoprime (base 17) 4187 passes MR ok 102 - Pseudoprime (base 17) 5365 passes MR ok 103 - Pseudoprime (base 17) 5833 passes MR ok 104 - Pseudoprime (base 17) 6697 passes MR ok 105 - Pseudoprime (base 17) 7171 passes MR ok 106 - Pseudoprime (base 17) 15805 passes MR ok 107 - Pseudoprime (base 17) 19729 passes MR ok 108 - Pseudoprime (base 17) 21781 passes MR ok 109 - Pseudoprime (base 17) 22791 passes MR ok 110 - Pseudoprime (base 17) 24211 passes MR ok 111 - Pseudoprime (base 17) 26245 passes MR ok 112 - Pseudoprime (base 17) 31621 passes MR ok 113 - Pseudoprime (base 17) 33001 passes MR ok 114 - Pseudoprime (base 17) 33227 passes MR ok 115 - Pseudoprime (base 17) 34441 passes MR ok 116 - Pseudoprime (base 17) 35371 passes MR ok 117 - Pseudoprime (base 17) 38081 passes MR ok 118 - Pseudoprime (base 17) 42127 passes MR ok 119 - Pseudoprime (base 17) 49771 passes MR ok 120 - Pseudoprime (base 17) 71071 passes MR ok 121 - Pseudoprime (base 17) 74665 passes MR ok 122 - Pseudoprime (base 17) 77293 passes MR ok 123 - Pseudoprime (base 17) 78881 passes MR ok 124 - Pseudoprime (base 17) 88831 passes MR ok 125 - Pseudoprime (base 17) 96433 passes MR ok 126 - Pseudoprime (base 17) 97921 passes MR ok 127 - Pseudoprime (base 17) 98671 passes MR ok 128 - 989 is an extra strong Lucas pseudoprime ok 129 - 3239 is an extra strong Lucas pseudoprime ok 130 - 5777 is an extra strong Lucas pseudoprime ok 131 - 10877 is an extra strong Lucas pseudoprime ok 132 - 27971 is an extra strong Lucas pseudoprime ok 133 - 29681 is an extra strong Lucas pseudoprime ok 134 - 30739 is an extra strong Lucas pseudoprime ok 135 - 31631 is an extra strong Lucas pseudoprime ok 136 - 39059 is an extra strong Lucas pseudoprime ok 137 - 72389 is an extra strong Lucas pseudoprime ok 138 - 73919 is an extra strong Lucas pseudoprime ok 139 - 75077 is an extra strong Lucas pseudoprime ok 140 - 100127 is an extra strong Lucas pseudoprime ok 141 - 113573 is an extra strong Lucas pseudoprime ok 142 - 125249 is an extra strong Lucas pseudoprime ok 143 - 137549 is an extra strong Lucas pseudoprime ok 144 - 137801 is an extra strong Lucas pseudoprime ok 145 - 153931 is an extra strong Lucas pseudoprime ok 146 - 155819 is an extra strong Lucas pseudoprime ok 147 - Pseudoprime (base 28178) 28179 passes MR ok 148 - Pseudoprime (base 28178) 29381 passes MR ok 149 - Pseudoprime (base 28178) 30353 passes MR ok 150 - Pseudoprime (base 28178) 34441 passes MR ok 151 - Pseudoprime (base 28178) 35371 passes MR ok 152 - Pseudoprime (base 28178) 37051 passes MR ok 153 - Pseudoprime (base 28178) 38503 passes MR ok 154 - Pseudoprime (base 28178) 43387 passes MR ok 155 - Pseudoprime (base 28178) 50557 passes MR ok 156 - Pseudoprime (base 28178) 51491 passes MR ok 157 - Pseudoprime (base 28178) 57553 passes MR ok 158 - Pseudoprime (base 28178) 79003 passes MR ok 159 - Pseudoprime (base 28178) 82801 passes MR ok 160 - Pseudoprime (base 28178) 83333 passes MR ok 161 - Pseudoprime (base 28178) 87249 passes MR ok 162 - Pseudoprime (base 28178) 88507 passes MR ok 163 - Pseudoprime (base 28178) 97921 passes MR ok 164 - Pseudoprime (base 28178) 99811 passes MR ok 165 - 561 is an Euler pseudoprime to base 2 ok 166 - 1105 is an Euler pseudoprime to base 2 ok 167 - 1729 is an Euler pseudoprime to base 2 ok 168 - 1905 is an Euler pseudoprime to base 2 ok 169 - 2047 is an Euler pseudoprime to base 2 ok 170 - 2465 is an Euler pseudoprime to base 2 ok 171 - 3277 is an Euler pseudoprime to base 2 ok 172 - 4033 is an Euler pseudoprime to base 2 ok 173 - 4681 is an Euler pseudoprime to base 2 ok 174 - 6601 is an Euler pseudoprime to base 2 ok 175 - 8321 is an Euler pseudoprime to base 2 ok 176 - 8481 is an Euler pseudoprime to base 2 ok 177 - 10585 is an Euler pseudoprime to base 2 ok 178 - 12801 is an Euler pseudoprime to base 2 ok 179 - 15841 is an Euler pseudoprime to base 2 ok 180 - 16705 is an Euler pseudoprime to base 2 ok 181 - 18705 is an Euler pseudoprime to base 2 ok 182 - 25761 is an Euler pseudoprime to base 2 ok 183 - 29341 is an Euler pseudoprime to base 2 ok 184 - 30121 is an Euler pseudoprime to base 2 ok 185 - 33153 is an Euler pseudoprime to base 2 ok 186 - 34945 is an Euler pseudoprime to base 2 ok 187 - 41041 is an Euler pseudoprime to base 2 ok 188 - 42799 is an Euler pseudoprime to base 2 ok 189 - 46657 is an Euler pseudoprime to base 2 ok 190 - 49141 is an Euler pseudoprime to base 2 ok 191 - 52633 is an Euler pseudoprime to base 2 ok 192 - 62745 is an Euler pseudoprime to base 2 ok 193 - 65281 is an Euler pseudoprime to base 2 ok 194 - 74665 is an Euler pseudoprime to base 2 ok 195 - 75361 is an Euler pseudoprime to base 2 ok 196 - 80581 is an Euler pseudoprime to base 2 ok 197 - 85489 is an Euler pseudoprime to base 2 ok 198 - 87249 is an Euler pseudoprime to base 2 ok 199 - 88357 is an Euler pseudoprime to base 2 ok 200 - 90751 is an Euler pseudoprime to base 2 ok 201 - Pseudoprime (base 75088) 75089 passes MR ok 202 - Pseudoprime (base 75088) 79381 passes MR ok 203 - Pseudoprime (base 75088) 81317 passes MR ok 204 - Pseudoprime (base 75088) 91001 passes MR ok 205 - Pseudoprime (base 75088) 100101 passes MR ok 206 - Pseudoprime (base 75088) 111361 passes MR ok 207 - Pseudoprime (base 75088) 114211 passes MR ok 208 - Pseudoprime (base 75088) 136927 passes MR ok 209 - Pseudoprime (base 75088) 148289 passes MR ok 210 - Pseudoprime (base 75088) 169641 passes MR ok 211 - Pseudoprime (base 75088) 176661 passes MR ok 212 - Pseudoprime (base 75088) 191407 passes MR ok 213 - Pseudoprime (base 75088) 195649 passes MR ok 214 - Pseudoprime (base 642735) 653251 passes MR ok 215 - Pseudoprime (base 642735) 653333 passes MR ok 216 - Pseudoprime (base 642735) 663181 passes MR ok 217 - Pseudoprime (base 642735) 676651 passes MR ok 218 - Pseudoprime (base 642735) 714653 passes MR ok 219 - Pseudoprime (base 642735) 759277 passes MR ok 220 - Pseudoprime (base 642735) 794683 passes MR ok 221 - Pseudoprime (base 642735) 805141 passes MR ok 222 - Pseudoprime (base 642735) 844097 passes MR ok 223 - Pseudoprime (base 642735) 872191 passes MR ok 224 - Pseudoprime (base 642735) 874171 passes MR ok 225 - Pseudoprime (base 642735) 894671 passes MR ok 226 - Pseudoprime (base 9375) 11521 passes MR ok 227 - Pseudoprime (base 9375) 14689 passes MR ok 228 - Pseudoprime (base 9375) 17893 passes MR ok 229 - Pseudoprime (base 9375) 18361 passes MR ok 230 - Pseudoprime (base 9375) 20591 passes MR ok 231 - Pseudoprime (base 9375) 28093 passes MR ok 232 - Pseudoprime (base 9375) 32809 passes MR ok 233 - Pseudoprime (base 9375) 37969 passes MR ok 234 - Pseudoprime (base 9375) 44287 passes MR ok 235 - Pseudoprime (base 9375) 60701 passes MR ok 236 - Pseudoprime (base 9375) 70801 passes MR ok 237 - Pseudoprime (base 9375) 79957 passes MR ok 238 - Pseudoprime (base 9375) 88357 passes MR ok 239 - Pseudoprime (base 9375) 88831 passes MR ok 240 - Pseudoprime (base 9375) 94249 passes MR ok 241 - Pseudoprime (base 9375) 96247 passes MR ok 242 - Pseudoprime (base 9375) 99547 passes MR ok 243 - Pseudoprime (base 1005905886) 1005905887 passes MR ok 244 - Pseudoprime (base 1005905886) 1007713171 passes MR ok 245 - Pseudoprime (base 1005905886) 1008793699 passes MR ok 246 - Pseudoprime (base 1005905886) 1010415421 passes MR ok 247 - Pseudoprime (base 1005905886) 1010487061 passes MR ok 248 - Pseudoprime (base 1005905886) 1010836369 passes MR ok 249 - Pseudoprime (base 1005905886) 1012732873 passes MR ok 250 - Pseudoprime (base 1005905886) 1015269391 passes MR ok 251 - Pseudoprime (base 1005905886) 1016250247 passes MR ok 252 - Pseudoprime (base 1005905886) 1018405741 passes MR ok 253 - Pseudoprime (base 1005905886) 1020182041 passes MR ok 254 - Pseudoprime (base 11) 133 passes MR ok 255 - Pseudoprime (base 11) 793 passes MR ok 256 - Pseudoprime (base 11) 2047 passes MR ok 257 - Pseudoprime (base 11) 4577 passes MR ok 258 - Pseudoprime (base 11) 5041 passes MR ok 259 - Pseudoprime (base 11) 12403 passes MR ok 260 - Pseudoprime (base 11) 13333 passes MR ok 261 - Pseudoprime (base 11) 14521 passes MR ok 262 - Pseudoprime (base 11) 17711 passes MR ok 263 - Pseudoprime (base 11) 23377 passes MR ok 264 - Pseudoprime (base 11) 43213 passes MR ok 265 - Pseudoprime (base 11) 43739 passes MR ok 266 - Pseudoprime (base 11) 47611 passes MR ok 267 - Pseudoprime (base 11) 48283 passes MR ok 268 - Pseudoprime (base 11) 49601 passes MR ok 269 - Pseudoprime (base 11) 50737 passes MR ok 270 - Pseudoprime (base 11) 50997 passes MR ok 271 - Pseudoprime (base 11) 56057 passes MR ok 272 - Pseudoprime (base 11) 58969 passes MR ok 273 - Pseudoprime (base 11) 68137 passes MR ok 274 - Pseudoprime (base 11) 74089 passes MR ok 275 - Pseudoprime (base 11) 85879 passes MR ok 276 - Pseudoprime (base 11) 86347 passes MR ok 277 - Pseudoprime (base 11) 87913 passes MR ok 278 - Pseudoprime (base 11) 88831 passes MR ok 279 - Pseudoprime (base 325) 341 passes MR ok 280 - Pseudoprime (base 325) 343 passes MR ok 281 - Pseudoprime (base 325) 697 passes MR ok 282 - Pseudoprime (base 325) 1141 passes MR ok 283 - Pseudoprime (base 325) 2059 passes MR ok 284 - Pseudoprime (base 325) 2149 passes MR ok 285 - Pseudoprime (base 325) 3097 passes MR ok 286 - Pseudoprime (base 325) 3537 passes MR ok 287 - Pseudoprime (base 325) 4033 passes MR ok 288 - Pseudoprime (base 325) 4681 passes MR ok 289 - Pseudoprime (base 325) 4941 passes MR ok 290 - Pseudoprime (base 325) 5833 passes MR ok 291 - Pseudoprime (base 325) 6517 passes MR ok 292 - Pseudoprime (base 325) 7987 passes MR ok 293 - Pseudoprime (base 325) 8911 passes MR ok 294 - Pseudoprime (base 325) 12403 passes MR ok 295 - Pseudoprime (base 325) 12913 passes MR ok 296 - Pseudoprime (base 325) 15043 passes MR ok 297 - Pseudoprime (base 325) 16021 passes MR ok 298 - Pseudoprime (base 325) 20017 passes MR ok 299 - Pseudoprime (base 325) 22261 passes MR ok 300 - Pseudoprime (base 325) 23221 passes MR ok 301 - Pseudoprime (base 325) 24649 passes MR ok 302 - Pseudoprime (base 325) 24929 passes MR ok 303 - Pseudoprime (base 325) 31841 passes MR ok 304 - Pseudoprime (base 325) 35371 passes MR ok 305 - Pseudoprime (base 325) 38503 passes MR ok 306 - Pseudoprime (base 325) 43213 passes MR ok 307 - Pseudoprime (base 325) 44173 passes MR ok 308 - Pseudoprime (base 325) 47197 passes MR ok 309 - Pseudoprime (base 325) 50041 passes MR ok 310 - Pseudoprime (base 325) 55909 passes MR ok 311 - Pseudoprime (base 325) 56033 passes MR ok 312 - Pseudoprime (base 325) 58969 passes MR ok 313 - Pseudoprime (base 325) 59089 passes MR ok 314 - Pseudoprime (base 325) 61337 passes MR ok 315 - Pseudoprime (base 325) 65441 passes MR ok 316 - Pseudoprime (base 325) 68823 passes MR ok 317 - Pseudoprime (base 325) 72641 passes MR ok 318 - Pseudoprime (base 325) 76793 passes MR ok 319 - Pseudoprime (base 325) 78409 passes MR ok 320 - Pseudoprime (base 325) 85879 passes MR ok 321 - Pseudoprime (base 553174392) 553174393 passes MR ok 322 - Pseudoprime (base 553174392) 553945231 passes MR ok 323 - Pseudoprime (base 553174392) 554494951 passes MR ok 324 - Pseudoprime (base 553174392) 554892787 passes MR ok 325 - Pseudoprime (base 553174392) 555429169 passes MR ok 326 - Pseudoprime (base 553174392) 557058133 passes MR ok 327 - Pseudoprime (base 553174392) 557163157 passes MR ok 328 - Pseudoprime (base 553174392) 557165209 passes MR ok 329 - Pseudoprime (base 553174392) 558966793 passes MR ok 330 - Pseudoprime (base 553174392) 559407061 passes MR ok 331 - Pseudoprime (base 553174392) 560291719 passes MR ok 332 - Pseudoprime (base 553174392) 561008251 passes MR ok 333 - Pseudoprime (base 553174392) 563947141 passes MR ok 334 - 989 is an almost extra strong Lucas pseudoprime (increment 1) ok 335 - 3239 is an almost extra strong Lucas pseudoprime (increment 1) ok 336 - 5777 is an almost extra strong Lucas pseudoprime (increment 1) ok 337 - 10469 is an almost extra strong Lucas pseudoprime (increment 1) ok 338 - 10877 is an almost extra strong Lucas pseudoprime (increment 1) ok 339 - 27971 is an almost extra strong Lucas pseudoprime (increment 1) ok 340 - 29681 is an almost extra strong Lucas pseudoprime (increment 1) ok 341 - 30739 is an almost extra strong Lucas pseudoprime (increment 1) ok 342 - 31631 is an almost extra strong Lucas pseudoprime (increment 1) ok 343 - 39059 is an almost extra strong Lucas pseudoprime (increment 1) ok 344 - 72389 is an almost extra strong Lucas pseudoprime (increment 1) ok 345 - 73919 is an almost extra strong Lucas pseudoprime (increment 1) ok 346 - 75077 is an almost extra strong Lucas pseudoprime (increment 1) ok 347 - 100127 is an almost extra strong Lucas pseudoprime (increment 1) ok 348 - 113573 is an almost extra strong Lucas pseudoprime (increment 1) ok 349 - 125249 is an almost extra strong Lucas pseudoprime (increment 1) ok 350 - 137549 is an almost extra strong Lucas pseudoprime (increment 1) ok 351 - 137801 is an almost extra strong Lucas pseudoprime (increment 1) ok 352 - 153931 is an almost extra strong Lucas pseudoprime (increment 1) ok 353 - 154697 is an almost extra strong Lucas pseudoprime (increment 1) ok 354 - 155819 is an almost extra strong Lucas pseudoprime (increment 1) ok 355 - Pseudoprime (base 61) 217 passes MR ok 356 - Pseudoprime (base 61) 341 passes MR ok 357 - Pseudoprime (base 61) 1261 passes MR ok 358 - Pseudoprime (base 61) 2701 passes MR ok 359 - Pseudoprime (base 61) 3661 passes MR ok 360 - Pseudoprime (base 61) 6541 passes MR ok 361 - Pseudoprime (base 61) 6697 passes MR ok 362 - Pseudoprime (base 61) 7613 passes MR ok 363 - Pseudoprime (base 61) 13213 passes MR ok 364 - Pseudoprime (base 61) 16213 passes MR ok 365 - Pseudoprime (base 61) 22177 passes MR ok 366 - Pseudoprime (base 61) 23653 passes MR ok 367 - Pseudoprime (base 61) 23959 passes MR ok 368 - Pseudoprime (base 61) 31417 passes MR ok 369 - Pseudoprime (base 61) 50117 passes MR ok 370 - Pseudoprime (base 61) 61777 passes MR ok 371 - Pseudoprime (base 61) 63139 passes MR ok 372 - Pseudoprime (base 61) 67721 passes MR ok 373 - Pseudoprime (base 61) 76301 passes MR ok 374 - Pseudoprime (base 61) 77421 passes MR ok 375 - Pseudoprime (base 61) 79381 passes MR ok 376 - Pseudoprime (base 61) 80041 passes MR ok 377 - 271441 is a Perrin pseudoprime ok 378 - 904631 is a Perrin pseudoprime ok 379 - 16532714 is a Perrin pseudoprime ok 380 - 24658561 is a Perrin pseudoprime ok 381 - 27422714 is a Perrin pseudoprime ok 382 - 27664033 is a Perrin pseudoprime ok 383 - 46672291 is a Perrin pseudoprime ok 384 - 102690901 is a Perrin pseudoprime ok 385 - 130944133 is a Perrin pseudoprime ok 386 - 196075949 is a Perrin pseudoprime ok 387 - 214038533 is a Perrin pseudoprime ok 388 - 517697641 is a Perrin pseudoprime ok 389 - 545670533 is a Perrin pseudoprime ok 390 - 801123451 is a Perrin pseudoprime ok 391 - 3239 is an almost extra strong Lucas pseudoprime (increment 2) ok 392 - 4531 is an almost extra strong Lucas pseudoprime (increment 2) ok 393 - 5777 is an almost extra strong Lucas pseudoprime (increment 2) ok 394 - 10877 is an almost extra strong Lucas pseudoprime (increment 2) ok 395 - 12209 is an almost extra strong Lucas pseudoprime (increment 2) ok 396 - 21899 is an almost extra strong Lucas pseudoprime (increment 2) ok 397 - 31631 is an almost extra strong Lucas pseudoprime (increment 2) ok 398 - 31831 is an almost extra strong Lucas pseudoprime (increment 2) ok 399 - 32129 is an almost extra strong Lucas pseudoprime (increment 2) ok 400 - 34481 is an almost extra strong Lucas pseudoprime (increment 2) ok 401 - 36079 is an almost extra strong Lucas pseudoprime (increment 2) ok 402 - 37949 is an almost extra strong Lucas pseudoprime (increment 2) ok 403 - 47849 is an almost extra strong Lucas pseudoprime (increment 2) ok 404 - 50959 is an almost extra strong Lucas pseudoprime (increment 2) ok 405 - 51641 is an almost extra strong Lucas pseudoprime (increment 2) ok 406 - 62479 is an almost extra strong Lucas pseudoprime (increment 2) ok 407 - 73919 is an almost extra strong Lucas pseudoprime (increment 2) ok 408 - 75077 is an almost extra strong Lucas pseudoprime (increment 2) ok 409 - 97109 is an almost extra strong Lucas pseudoprime (increment 2) ok 410 - 100127 is an almost extra strong Lucas pseudoprime (increment 2) ok 411 - 108679 is an almost extra strong Lucas pseudoprime (increment 2) ok 412 - 113573 is an almost extra strong Lucas pseudoprime (increment 2) ok 413 - 116899 is an almost extra strong Lucas pseudoprime (increment 2) ok 414 - 154697 is an almost extra strong Lucas pseudoprime (increment 2) ok 415 - 161027 is an almost extra strong Lucas pseudoprime (increment 2) ok 416 - Pseudoprime (base 2) 2047 passes MR ok 417 - Pseudoprime (base 2) 3277 passes MR ok 418 - Pseudoprime (base 2) 4033 passes MR ok 419 - Pseudoprime (base 2) 4681 passes MR ok 420 - Pseudoprime (base 2) 8321 passes MR ok 421 - Pseudoprime (base 2) 15841 passes MR ok 422 - Pseudoprime (base 2) 29341 passes MR ok 423 - Pseudoprime (base 2) 42799 passes MR ok 424 - Pseudoprime (base 2) 49141 passes MR ok 425 - Pseudoprime (base 2) 52633 passes MR ok 426 - Pseudoprime (base 2) 65281 passes MR ok 427 - Pseudoprime (base 2) 74665 passes MR ok 428 - Pseudoprime (base 2) 80581 passes MR ok 429 - Pseudoprime (base 2) 85489 passes MR ok 430 - Pseudoprime (base 2) 88357 passes MR ok 431 - Pseudoprime (base 2) 90751 passes MR ok 432 - Pseudoprime (base 2) 1194649 passes MR ok 433 - Pseudoprime (base 5) 781 passes MR ok 434 - Pseudoprime (base 5) 1541 passes MR ok 435 - Pseudoprime (base 5) 5461 passes MR ok 436 - Pseudoprime (base 5) 5611 passes MR ok 437 - Pseudoprime (base 5) 7813 passes MR ok 438 - Pseudoprime (base 5) 13021 passes MR ok 439 - Pseudoprime (base 5) 14981 passes MR ok 440 - Pseudoprime (base 5) 15751 passes MR ok 441 - Pseudoprime (base 5) 24211 passes MR ok 442 - Pseudoprime (base 5) 25351 passes MR ok 443 - Pseudoprime (base 5) 29539 passes MR ok 444 - Pseudoprime (base 5) 38081 passes MR ok 445 - Pseudoprime (base 5) 40501 passes MR ok 446 - Pseudoprime (base 5) 44801 passes MR ok 447 - Pseudoprime (base 5) 53971 passes MR ok 448 - Pseudoprime (base 5) 79381 passes MR ok 449 - Pseudoprime (base 29) 15 passes MR ok 450 - Pseudoprime (base 29) 91 passes MR ok 451 - Pseudoprime (base 29) 341 passes MR ok 452 - Pseudoprime (base 29) 469 passes MR ok 453 - Pseudoprime (base 29) 871 passes MR ok 454 - Pseudoprime (base 29) 2257 passes MR ok 455 - Pseudoprime (base 29) 4371 passes MR ok 456 - Pseudoprime (base 29) 4411 passes MR ok 457 - Pseudoprime (base 29) 5149 passes MR ok 458 - Pseudoprime (base 29) 6097 passes MR ok 459 - Pseudoprime (base 29) 8401 passes MR ok 460 - Pseudoprime (base 29) 11581 passes MR ok 461 - Pseudoprime (base 29) 12431 passes MR ok 462 - Pseudoprime (base 29) 15577 passes MR ok 463 - Pseudoprime (base 29) 16471 passes MR ok 464 - Pseudoprime (base 29) 19093 passes MR ok 465 - Pseudoprime (base 29) 25681 passes MR ok 466 - Pseudoprime (base 29) 28009 passes MR ok 467 - Pseudoprime (base 29) 29539 passes MR ok 468 - Pseudoprime (base 29) 31417 passes MR ok 469 - Pseudoprime (base 29) 33001 passes MR ok 470 - Pseudoprime (base 29) 48133 passes MR ok 471 - Pseudoprime (base 29) 49141 passes MR ok 472 - Pseudoprime (base 29) 54913 passes MR ok 473 - Pseudoprime (base 29) 79003 passes MR ok 474 - Pseudoprime (base 7) 25 passes MR ok 475 - Pseudoprime (base 7) 325 passes MR ok 476 - Pseudoprime (base 7) 703 passes MR ok 477 - Pseudoprime (base 7) 2101 passes MR ok 478 - Pseudoprime (base 7) 2353 passes MR ok 479 - Pseudoprime (base 7) 4525 passes MR ok 480 - Pseudoprime (base 7) 11041 passes MR ok 481 - Pseudoprime (base 7) 14089 passes MR ok 482 - Pseudoprime (base 7) 20197 passes MR ok 483 - Pseudoprime (base 7) 29857 passes MR ok 484 - Pseudoprime (base 7) 29891 passes MR ok 485 - Pseudoprime (base 7) 39331 passes MR ok 486 - Pseudoprime (base 7) 49241 passes MR ok 487 - Pseudoprime (base 7) 58825 passes MR ok 488 - Pseudoprime (base 7) 64681 passes MR ok 489 - Pseudoprime (base 7) 76627 passes MR ok 490 - Pseudoprime (base 7) 78937 passes MR ok 491 - Pseudoprime (base 7) 79381 passes MR ok 492 - Pseudoprime (base 7) 87673 passes MR ok 493 - Pseudoprime (base 7) 88399 passes MR ok 494 - Pseudoprime (base 7) 88831 passes MR ok 495 - Pseudoprime (base 203659041) 204172939 passes MR ok 496 - Pseudoprime (base 203659041) 204456793 passes MR ok 497 - Pseudoprime (base 203659041) 206407057 passes MR ok 498 - Pseudoprime (base 203659041) 206976001 passes MR ok 499 - Pseudoprime (base 203659041) 207373483 passes MR ok 500 - Pseudoprime (base 203659041) 209301121 passes MR ok 501 - Pseudoprime (base 203659041) 210339397 passes MR ok 502 - Pseudoprime (base 203659041) 211867969 passes MR ok 503 - Pseudoprime (base 203659041) 212146507 passes MR ok 504 - Pseudoprime (base 203659041) 212337217 passes MR ok 505 - Pseudoprime (base 203659041) 212355793 passes MR ok 506 - Pseudoprime (base 203659041) 214400629 passes MR ok 507 - Pseudoprime (base 203659041) 214539841 passes MR ok 508 - Pseudoprime (base 203659041) 215161459 passes MR ok 509 - 121 is an Euler pseudoprime to base 3 ok 510 - 703 is an Euler pseudoprime to base 3 ok 511 - 1729 is an Euler pseudoprime to base 3 ok 512 - 1891 is an Euler pseudoprime to base 3 ok 513 - 2821 is an Euler pseudoprime to base 3 ok 514 - 3281 is an Euler pseudoprime to base 3 ok 515 - 7381 is an Euler pseudoprime to base 3 ok 516 - 8401 is an Euler pseudoprime to base 3 ok 517 - 8911 is an Euler pseudoprime to base 3 ok 518 - 10585 is an Euler pseudoprime to base 3 ok 519 - 12403 is an Euler pseudoprime to base 3 ok 520 - 15457 is an Euler pseudoprime to base 3 ok 521 - 15841 is an Euler pseudoprime to base 3 ok 522 - 16531 is an Euler pseudoprime to base 3 ok 523 - 18721 is an Euler pseudoprime to base 3 ok 524 - 19345 is an Euler pseudoprime to base 3 ok 525 - 23521 is an Euler pseudoprime to base 3 ok 526 - 24661 is an Euler pseudoprime to base 3 ok 527 - 28009 is an Euler pseudoprime to base 3 ok 528 - 29341 is an Euler pseudoprime to base 3 ok 529 - 31621 is an Euler pseudoprime to base 3 ok 530 - 41041 is an Euler pseudoprime to base 3 ok 531 - 44287 is an Euler pseudoprime to base 3 ok 532 - 46657 is an Euler pseudoprime to base 3 ok 533 - 47197 is an Euler pseudoprime to base 3 ok 534 - 49141 is an Euler pseudoprime to base 3 ok 535 - 50881 is an Euler pseudoprime to base 3 ok 536 - 52633 is an Euler pseudoprime to base 3 ok 537 - 55969 is an Euler pseudoprime to base 3 ok 538 - 63139 is an Euler pseudoprime to base 3 ok 539 - 63973 is an Euler pseudoprime to base 3 ok 540 - 74593 is an Euler pseudoprime to base 3 ok 541 - 75361 is an Euler pseudoprime to base 3 ok 542 - 79003 is an Euler pseudoprime to base 3 ok 543 - 82513 is an Euler pseudoprime to base 3 ok 544 - 87913 is an Euler pseudoprime to base 3 ok 545 - 88573 is an Euler pseudoprime to base 3 ok 546 - 93961 is an Euler pseudoprime to base 3 ok 547 - 97567 is an Euler pseudoprime to base 3 ok 548 - Pseudoprime (base 13) 85 passes MR ok 549 - Pseudoprime (base 13) 1099 passes MR ok 550 - Pseudoprime (base 13) 5149 passes MR ok 551 - Pseudoprime (base 13) 7107 passes MR ok 552 - Pseudoprime (base 13) 8911 passes MR ok 553 - Pseudoprime (base 13) 9637 passes MR ok 554 - Pseudoprime (base 13) 13019 passes MR ok 555 - Pseudoprime (base 13) 14491 passes MR ok 556 - Pseudoprime (base 13) 17803 passes MR ok 557 - Pseudoprime (base 13) 19757 passes MR ok 558 - Pseudoprime (base 13) 20881 passes MR ok 559 - Pseudoprime (base 13) 22177 passes MR ok 560 - Pseudoprime (base 13) 23521 passes MR ok 561 - Pseudoprime (base 13) 26521 passes MR ok 562 - Pseudoprime (base 13) 35371 passes MR ok 563 - Pseudoprime (base 13) 44173 passes MR ok 564 - Pseudoprime (base 13) 45629 passes MR ok 565 - Pseudoprime (base 13) 54097 passes MR ok 566 - Pseudoprime (base 13) 56033 passes MR ok 567 - Pseudoprime (base 13) 57205 passes MR ok 568 - Pseudoprime (base 13) 75241 passes MR ok 569 - Pseudoprime (base 13) 83333 passes MR ok 570 - Pseudoprime (base 13) 85285 passes MR ok 571 - Pseudoprime (base 13) 86347 passes MR ok 572 - 91 is a pseudoprime to base 3 ok 573 - 121 is a pseudoprime to base 3 ok 574 - 286 is a pseudoprime to base 3 ok 575 - 671 is a pseudoprime to base 3 ok 576 - 703 is a pseudoprime to base 3 ok 577 - 949 is a pseudoprime to base 3 ok 578 - 1105 is a pseudoprime to base 3 ok 579 - 1541 is a pseudoprime to base 3 ok 580 - 1729 is a pseudoprime to base 3 ok 581 - 1891 is a pseudoprime to base 3 ok 582 - 2465 is a pseudoprime to base 3 ok 583 - 2665 is a pseudoprime to base 3 ok 584 - 2701 is a pseudoprime to base 3 ok 585 - 2821 is a pseudoprime to base 3 ok 586 - 3281 is a pseudoprime to base 3 ok 587 - 3367 is a pseudoprime to base 3 ok 588 - 3751 is a pseudoprime to base 3 ok 589 - 4961 is a pseudoprime to base 3 ok 590 - 5551 is a pseudoprime to base 3 ok 591 - 6601 is a pseudoprime to base 3 ok 592 - 7381 is a pseudoprime to base 3 ok 593 - 8401 is a pseudoprime to base 3 ok 594 - 8911 is a pseudoprime to base 3 ok 595 - 10585 is a pseudoprime to base 3 ok 596 - 11011 is a pseudoprime to base 3 ok 597 - 12403 is a pseudoprime to base 3 ok 598 - 14383 is a pseudoprime to base 3 ok 599 - 15203 is a pseudoprime to base 3 ok 600 - 15457 is a pseudoprime to base 3 ok 601 - 15841 is a pseudoprime to base 3 ok 602 - 16471 is a pseudoprime to base 3 ok 603 - 16531 is a pseudoprime to base 3 ok 604 - 18721 is a pseudoprime to base 3 ok 605 - 19345 is a pseudoprime to base 3 ok 606 - 23521 is a pseudoprime to base 3 ok 607 - 24046 is a pseudoprime to base 3 ok 608 - 24661 is a pseudoprime to base 3 ok 609 - 24727 is a pseudoprime to base 3 ok 610 - 28009 is a pseudoprime to base 3 ok 611 - 29161 is a pseudoprime to base 3 ok 612 - 15 is an Euler pseudoprime to base 29 ok 613 - 91 is an Euler pseudoprime to base 29 ok 614 - 341 is an Euler pseudoprime to base 29 ok 615 - 469 is an Euler pseudoprime to base 29 ok 616 - 871 is an Euler pseudoprime to base 29 ok 617 - 2257 is an Euler pseudoprime to base 29 ok 618 - 4371 is an Euler pseudoprime to base 29 ok 619 - 4411 is an Euler pseudoprime to base 29 ok 620 - 5149 is an Euler pseudoprime to base 29 ok 621 - 5185 is an Euler pseudoprime to base 29 ok 622 - 6097 is an Euler pseudoprime to base 29 ok 623 - 8401 is an Euler pseudoprime to base 29 ok 624 - 8841 is an Euler pseudoprime to base 29 ok 625 - 11581 is an Euler pseudoprime to base 29 ok 626 - 12431 is an Euler pseudoprime to base 29 ok 627 - 15577 is an Euler pseudoprime to base 29 ok 628 - 15841 is an Euler pseudoprime to base 29 ok 629 - 16471 is an Euler pseudoprime to base 29 ok 630 - 19093 is an Euler pseudoprime to base 29 ok 631 - 22281 is an Euler pseudoprime to base 29 ok 632 - 25681 is an Euler pseudoprime to base 29 ok 633 - 27613 is an Euler pseudoprime to base 29 ok 634 - 28009 is an Euler pseudoprime to base 29 ok 635 - 29539 is an Euler pseudoprime to base 29 ok 636 - 31417 is an Euler pseudoprime to base 29 ok 637 - 33001 is an Euler pseudoprime to base 29 ok 638 - 41041 is an Euler pseudoprime to base 29 ok 639 - 46657 is an Euler pseudoprime to base 29 ok 640 - 48133 is an Euler pseudoprime to base 29 ok 641 - 49141 is an Euler pseudoprime to base 29 ok 642 - 54913 is an Euler pseudoprime to base 29 ok 643 - 57889 is an Euler pseudoprime to base 29 ok 644 - 79003 is an Euler pseudoprime to base 29 ok 645 - 98301 is an Euler pseudoprime to base 29 ok 646 - 323 is a Lucas-Selfridge pseudoprime ok 647 - 377 is a Lucas-Selfridge pseudoprime ok 648 - 1159 is a Lucas-Selfridge pseudoprime ok 649 - 1829 is a Lucas-Selfridge pseudoprime ok 650 - 3827 is a Lucas-Selfridge pseudoprime ok 651 - 5459 is a Lucas-Selfridge pseudoprime ok 652 - 5777 is a Lucas-Selfridge pseudoprime ok 653 - 9071 is a Lucas-Selfridge pseudoprime ok 654 - 9179 is a Lucas-Selfridge pseudoprime ok 655 - 10877 is a Lucas-Selfridge pseudoprime ok 656 - 11419 is a Lucas-Selfridge pseudoprime ok 657 - 11663 is a Lucas-Selfridge pseudoprime ok 658 - 13919 is a Lucas-Selfridge pseudoprime ok 659 - 14839 is a Lucas-Selfridge pseudoprime ok 660 - 16109 is a Lucas-Selfridge pseudoprime ok 661 - 16211 is a Lucas-Selfridge pseudoprime ok 662 - 18407 is a Lucas-Selfridge pseudoprime ok 663 - 18971 is a Lucas-Selfridge pseudoprime ok 664 - 19043 is a Lucas-Selfridge pseudoprime ok 665 - Pseudoprime (base 3046413974) 3046413975 passes MR ok 666 - Pseudoprime (base 3046413974) 3048698683 passes MR ok 667 - Pseudoprime (base 3046413974) 3051199817 passes MR ok 668 - Pseudoprime (base 3046413974) 3068572849 passes MR ok 669 - Pseudoprime (base 3046413974) 3069705673 passes MR ok 670 - Pseudoprime (base 3046413974) 3070556233 passes MR ok 671 - Pseudoprime (base 3046413974) 3079010071 passes MR ok 672 - Pseudoprime (base 3046413974) 3089940811 passes MR ok 673 - Pseudoprime (base 3046413974) 3090723901 passes MR ok 674 - Pseudoprime (base 3046413974) 3109299161 passes MR ok 675 - Pseudoprime (base 3046413974) 3110951251 passes MR ok 676 - Pseudoprime (base 3046413974) 3113625601 passes MR ok 677 - Pseudoprime (base 450775) 465991 passes MR ok 678 - Pseudoprime (base 450775) 468931 passes MR ok 679 - Pseudoprime (base 450775) 485357 passes MR ok 680 - Pseudoprime (base 450775) 505441 passes MR ok 681 - Pseudoprime (base 450775) 536851 passes MR ok 682 - Pseudoprime (base 450775) 556421 passes MR ok 683 - Pseudoprime (base 450775) 578771 passes MR ok 684 - Pseudoprime (base 450775) 585631 passes MR ok 685 - Pseudoprime (base 450775) 586249 passes MR ok 686 - Pseudoprime (base 450775) 606361 passes MR ok 687 - Pseudoprime (base 450775) 631651 passes MR ok 688 - Pseudoprime (base 450775) 638731 passes MR ok 689 - Pseudoprime (base 450775) 641683 passes MR ok 690 - Pseudoprime (base 450775) 645679 passes MR ok 691 - 4181 is a Frobenius (1,-1) pseudoprime ok 692 - 5777 is a Frobenius (1,-1) pseudoprime ok 693 - 6721 is a Frobenius (1,-1) pseudoprime ok 694 - 10877 is a Frobenius (1,-1) pseudoprime ok 695 - 13201 is a Frobenius (1,-1) pseudoprime ok 696 - 15251 is a Frobenius (1,-1) pseudoprime ok 697 - 34561 is a Frobenius (1,-1) pseudoprime ok 698 - 51841 is a Frobenius (1,-1) pseudoprime ok 699 - 64079 is a Frobenius (1,-1) pseudoprime ok 700 - 64681 is a Frobenius (1,-1) pseudoprime ok 701 - 67861 is a Frobenius (1,-1) pseudoprime ok 702 - 68251 is a Frobenius (1,-1) pseudoprime ok 703 - 75077 is a Frobenius (1,-1) pseudoprime ok 704 - 90061 is a Frobenius (1,-1) pseudoprime ok 705 - 96049 is a Frobenius (1,-1) pseudoprime ok 706 - 97921 is a Frobenius (1,-1) pseudoprime ok 707 - 100127 is a Frobenius (1,-1) pseudoprime ok 708 - 341 is a pseudoprime to base 2 ok 709 - 561 is a pseudoprime to base 2 ok 710 - 645 is a pseudoprime to base 2 ok 711 - 1105 is a pseudoprime to base 2 ok 712 - 1387 is a pseudoprime to base 2 ok 713 - 1729 is a pseudoprime to base 2 ok 714 - 1905 is a pseudoprime to base 2 ok 715 - 2047 is a pseudoprime to base 2 ok 716 - 2465 is a pseudoprime to base 2 ok 717 - 2701 is a pseudoprime to base 2 ok 718 - 2821 is a pseudoprime to base 2 ok 719 - 3277 is a pseudoprime to base 2 ok 720 - 4033 is a pseudoprime to base 2 ok 721 - 4369 is a pseudoprime to base 2 ok 722 - 4371 is a pseudoprime to base 2 ok 723 - 4681 is a pseudoprime to base 2 ok 724 - 5461 is a pseudoprime to base 2 ok 725 - 6601 is a pseudoprime to base 2 ok 726 - 7957 is a pseudoprime to base 2 ok 727 - 8321 is a pseudoprime to base 2 ok 728 - 8481 is a pseudoprime to base 2 ok 729 - 8911 is a pseudoprime to base 2 ok 730 - 10261 is a pseudoprime to base 2 ok 731 - 10585 is a pseudoprime to base 2 ok 732 - 11305 is a pseudoprime to base 2 ok 733 - 12801 is a pseudoprime to base 2 ok 734 - 13741 is a pseudoprime to base 2 ok 735 - 13747 is a pseudoprime to base 2 ok 736 - 13981 is a pseudoprime to base 2 ok 737 - 14491 is a pseudoprime to base 2 ok 738 - 15709 is a pseudoprime to base 2 ok 739 - 15841 is a pseudoprime to base 2 ok 740 - 16705 is a pseudoprime to base 2 ok 741 - 18705 is a pseudoprime to base 2 ok 742 - 18721 is a pseudoprime to base 2 ok 743 - 19951 is a pseudoprime to base 2 ok 744 - 23001 is a pseudoprime to base 2 ok 745 - 23377 is a pseudoprime to base 2 ok 746 - 25761 is a pseudoprime to base 2 ok 747 - 29341 is a pseudoprime to base 2 ok 748 - Pseudoprime (base 73) 205 passes MR ok 749 - Pseudoprime (base 73) 259 passes MR ok 750 - Pseudoprime (base 73) 533 passes MR ok 751 - Pseudoprime (base 73) 1441 passes MR ok 752 - Pseudoprime (base 73) 1921 passes MR ok 753 - Pseudoprime (base 73) 2665 passes MR ok 754 - Pseudoprime (base 73) 3439 passes MR ok 755 - Pseudoprime (base 73) 5257 passes MR ok 756 - Pseudoprime (base 73) 15457 passes MR ok 757 - Pseudoprime (base 73) 23281 passes MR ok 758 - Pseudoprime (base 73) 24617 passes MR ok 759 - Pseudoprime (base 73) 26797 passes MR ok 760 - Pseudoprime (base 73) 27787 passes MR ok 761 - Pseudoprime (base 73) 28939 passes MR ok 762 - Pseudoprime (base 73) 34219 passes MR ok 763 - Pseudoprime (base 73) 39481 passes MR ok 764 - Pseudoprime (base 73) 44671 passes MR ok 765 - Pseudoprime (base 73) 45629 passes MR ok 766 - Pseudoprime (base 73) 64681 passes MR ok 767 - Pseudoprime (base 73) 67069 passes MR ok 768 - Pseudoprime (base 73) 76429 passes MR ok 769 - Pseudoprime (base 73) 79501 passes MR ok 770 - Pseudoprime (base 73) 93521 passes MR ok 771 - Pseudoprime (base 3) 121 passes MR ok 772 - Pseudoprime (base 3) 703 passes MR ok 773 - Pseudoprime (base 3) 1891 passes MR ok 774 - Pseudoprime (base 3) 3281 passes MR ok 775 - Pseudoprime (base 3) 8401 passes MR ok 776 - Pseudoprime (base 3) 8911 passes MR ok 777 - Pseudoprime (base 3) 10585 passes MR ok 778 - Pseudoprime (base 3) 12403 passes MR ok 779 - Pseudoprime (base 3) 16531 passes MR ok 780 - Pseudoprime (base 3) 18721 passes MR ok 781 - Pseudoprime (base 3) 19345 passes MR ok 782 - Pseudoprime (base 3) 23521 passes MR ok 783 - Pseudoprime (base 3) 31621 passes MR ok 784 - Pseudoprime (base 3) 44287 passes MR ok 785 - Pseudoprime (base 3) 47197 passes MR ok 786 - Pseudoprime (base 3) 55969 passes MR ok 787 - Pseudoprime (base 3) 63139 passes MR ok 788 - Pseudoprime (base 3) 74593 passes MR ok 789 - Pseudoprime (base 3) 79003 passes MR ok 790 - Pseudoprime (base 3) 82513 passes MR ok 791 - Pseudoprime (base 3) 87913 passes MR ok 792 - Pseudoprime (base 3) 88573 passes MR ok 793 - Pseudoprime (base 3) 97567 passes MR ok 794 - Pseudoprime (base 31) 15 passes MR ok 795 - Pseudoprime (base 31) 49 passes MR ok 796 - Pseudoprime (base 31) 133 passes MR ok 797 - Pseudoprime (base 31) 481 passes MR ok 798 - Pseudoprime (base 31) 931 passes MR ok 799 - Pseudoprime (base 31) 6241 passes MR ok 800 - Pseudoprime (base 31) 8911 passes MR ok 801 - Pseudoprime (base 31) 9131 passes MR ok 802 - Pseudoprime (base 31) 10963 passes MR ok 803 - Pseudoprime (base 31) 11041 passes MR ok 804 - Pseudoprime (base 31) 14191 passes MR ok 805 - Pseudoprime (base 31) 17767 passes MR ok 806 - Pseudoprime (base 31) 29341 passes MR ok 807 - Pseudoprime (base 31) 56033 passes MR ok 808 - Pseudoprime (base 31) 58969 passes MR ok 809 - Pseudoprime (base 31) 68251 passes MR ok 810 - Pseudoprime (base 31) 79003 passes MR ok 811 - Pseudoprime (base 31) 83333 passes MR ok 812 - Pseudoprime (base 31) 87061 passes MR ok 813 - Pseudoprime (base 31) 88183 passes MR ok 814 - Pseudoprime (base 9780504) 9780505 passes MR ok 815 - Pseudoprime (base 9780504) 9784915 passes MR ok 816 - Pseudoprime (base 9780504) 9826489 passes MR ok 817 - Pseudoprime (base 9780504) 9882457 passes MR ok 818 - Pseudoprime (base 9780504) 9974791 passes MR ok 819 - Pseudoprime (base 9780504) 10017517 passes MR ok 820 - Pseudoprime (base 9780504) 10018081 passes MR ok 821 - Pseudoprime (base 9780504) 10084177 passes MR ok 822 - Pseudoprime (base 9780504) 10188481 passes MR ok 823 - Pseudoprime (base 9780504) 10247357 passes MR ok 824 - Pseudoprime (base 9780504) 10267951 passes MR ok 825 - Pseudoprime (base 9780504) 10392241 passes MR ok 826 - Pseudoprime (base 9780504) 10427209 passes MR ok 827 - Pseudoprime (base 9780504) 10511201 passes MR ok 828 - 13333 is a Frobenius (3,-5) pseudoprime ok 829 - 44801 is a Frobenius (3,-5) pseudoprime ok 830 - 486157 is a Frobenius (3,-5) pseudoprime ok 831 - 1615681 is a Frobenius (3,-5) pseudoprime ok 832 - 3125281 is a Frobenius (3,-5) pseudoprime ok 833 - 4219129 is a Frobenius (3,-5) pseudoprime ok 834 - 9006401 is a Frobenius (3,-5) pseudoprime ok 835 - 12589081 is a Frobenius (3,-5) pseudoprime ok 836 - 13404751 is a Frobenius (3,-5) pseudoprime ok 837 - 15576571 is a Frobenius (3,-5) pseudoprime ok 838 - 16719781 is a Frobenius (3,-5) pseudoprime ok 839 - Pseudoprime (base 1795265022) 1795265023 passes MR ok 840 - Pseudoprime (base 1795265022) 1797174457 passes MR ok 841 - Pseudoprime (base 1795265022) 1797741901 passes MR ok 842 - Pseudoprime (base 1795265022) 1804469753 passes MR ok 843 - Pseudoprime (base 1795265022) 1807751977 passes MR ok 844 - Pseudoprime (base 1795265022) 1808043283 passes MR ok 845 - Pseudoprime (base 1795265022) 1808205701 passes MR ok 846 - Pseudoprime (base 1795265022) 1813675681 passes MR ok 847 - Pseudoprime (base 1795265022) 1816462201 passes MR ok 848 - Pseudoprime (base 1795265022) 1817936371 passes MR ok 849 - Pseudoprime (base 1795265022) 1819050257 passes MR ok 850 - Pseudoprime (base 37) 9 passes MR ok 851 - Pseudoprime (base 37) 451 passes MR ok 852 - Pseudoprime (base 37) 469 passes MR ok 853 - Pseudoprime (base 37) 589 passes MR ok 854 - Pseudoprime (base 37) 685 passes MR ok 855 - Pseudoprime (base 37) 817 passes MR ok 856 - Pseudoprime (base 37) 1333 passes MR ok 857 - Pseudoprime (base 37) 3781 passes MR ok 858 - Pseudoprime (base 37) 8905 passes MR ok 859 - Pseudoprime (base 37) 9271 passes MR ok 860 - Pseudoprime (base 37) 18631 passes MR ok 861 - Pseudoprime (base 37) 19517 passes MR ok 862 - Pseudoprime (base 37) 20591 passes MR ok 863 - Pseudoprime (base 37) 25327 passes MR ok 864 - Pseudoprime (base 37) 34237 passes MR ok 865 - Pseudoprime (base 37) 45551 passes MR ok 866 - Pseudoprime (base 37) 46981 passes MR ok 867 - Pseudoprime (base 37) 47587 passes MR ok 868 - Pseudoprime (base 37) 48133 passes MR ok 869 - Pseudoprime (base 37) 59563 passes MR ok 870 - Pseudoprime (base 37) 61337 passes MR ok 871 - Pseudoprime (base 37) 68101 passes MR ok 872 - Pseudoprime (base 37) 68251 passes MR ok 873 - Pseudoprime (base 37) 73633 passes MR ok 874 - Pseudoprime (base 37) 79381 passes MR ok 875 - Pseudoprime (base 37) 79501 passes MR ok 876 - Pseudoprime (base 37) 83333 passes MR ok 877 - Pseudoprime (base 37) 84151 passes MR ok 878 - Pseudoprime (base 37) 96727 passes MR ok 879 - Pseudoprime (base 23) 169 passes MR ok 880 - Pseudoprime (base 23) 265 passes MR ok 881 - Pseudoprime (base 23) 553 passes MR ok 882 - Pseudoprime (base 23) 1271 passes MR ok 883 - Pseudoprime (base 23) 2701 passes MR ok 884 - Pseudoprime (base 23) 4033 passes MR ok 885 - Pseudoprime (base 23) 4371 passes MR ok 886 - Pseudoprime (base 23) 4681 passes MR ok 887 - Pseudoprime (base 23) 6533 passes MR ok 888 - Pseudoprime (base 23) 6541 passes MR ok 889 - Pseudoprime (base 23) 7957 passes MR ok 890 - Pseudoprime (base 23) 8321 passes MR ok 891 - Pseudoprime (base 23) 8651 passes MR ok 892 - Pseudoprime (base 23) 8911 passes MR ok 893 - Pseudoprime (base 23) 9805 passes MR ok 894 - Pseudoprime (base 23) 14981 passes MR ok 895 - Pseudoprime (base 23) 18721 passes MR ok 896 - Pseudoprime (base 23) 25201 passes MR ok 897 - Pseudoprime (base 23) 31861 passes MR ok 898 - Pseudoprime (base 23) 34133 passes MR ok 899 - Pseudoprime (base 23) 44173 passes MR ok 900 - Pseudoprime (base 23) 47611 passes MR ok 901 - Pseudoprime (base 23) 47783 passes MR ok 902 - Pseudoprime (base 23) 50737 passes MR ok 903 - Pseudoprime (base 23) 57401 passes MR ok 904 - Pseudoprime (base 23) 62849 passes MR ok 905 - Pseudoprime (base 23) 82513 passes MR ok 906 - Pseudoprime (base 23) 96049 passes MR ok 907 - Pseudoprime (base 3613982119) 3626488471 passes MR ok 908 - Pseudoprime (base 3613982119) 3630467017 passes MR ok 909 - Pseudoprime (base 3613982119) 3643480501 passes MR ok 910 - Pseudoprime (base 3613982119) 3651840727 passes MR ok 911 - Pseudoprime (base 3613982119) 3653628247 passes MR ok 912 - Pseudoprime (base 3613982119) 3654142177 passes MR ok 913 - Pseudoprime (base 3613982119) 3672033223 passes MR ok 914 - Pseudoprime (base 3613982119) 3672036061 passes MR ok 915 - Pseudoprime (base 3613982119) 3675774019 passes MR ok 916 - Pseudoprime (base 3613982119) 3687246109 passes MR ok 917 - Pseudoprime (base 3613982119) 3690036017 passes MR ok 918 - Pseudoprime (base 3613982119) 3720856369 passes MR ok 919 - 5459 is a strong Lucas-Selfridge pseudoprime ok 920 - 5777 is a strong Lucas-Selfridge pseudoprime ok 921 - 10877 is a strong Lucas-Selfridge pseudoprime ok 922 - 16109 is a strong Lucas-Selfridge pseudoprime ok 923 - 18971 is a strong Lucas-Selfridge pseudoprime ok 924 - 22499 is a strong Lucas-Selfridge pseudoprime ok 925 - 24569 is a strong Lucas-Selfridge pseudoprime ok 926 - 25199 is a strong Lucas-Selfridge pseudoprime ok 927 - 40309 is a strong Lucas-Selfridge pseudoprime ok 928 - 58519 is a strong Lucas-Selfridge pseudoprime ok 929 - 75077 is a strong Lucas-Selfridge pseudoprime ok 930 - 97439 is a strong Lucas-Selfridge pseudoprime ok 931 - 100127 is a strong Lucas-Selfridge pseudoprime ok 932 - 113573 is a strong Lucas-Selfridge pseudoprime ok 933 - 115639 is a strong Lucas-Selfridge pseudoprime ok 934 - 130139 is a strong Lucas-Selfridge pseudoprime ok 935 - MR base 2 matches is_prime for 2-4032 (excl 2047,3277) ok 936 - spsp( 3, 3) ok 937 - spsp( 11, 11) ok 938 - spsp( 89, 5785) ok 939 - spsp(257, 6168) ok 940 - spsp(367, 367) ok 941 - spsp(367, 1101) ok 942 - spsp(49001, 921211727) ok 943 - spsp( 331, 921211727) ok 944 - spsp(49117, 921211727) ok 945 - 162401 is a Fermat pseudoprime to bases 2,3,5,7,11,13 ok 946 - 1857241 is an Euler pseudoprime to bases 2,3,5,7,11,13 ok 947 - 3474749660383 is a strong pseudoprime to bases 2,3,5,7,11,13 ok 948 - 2 is a prime and a strong Lucas-Selfridge pseudoprime ok 949 - 9 is not a prime and not a strong Lucas-Selfridge pseudoprime ok 950 - 16 is not a prime and not a strong Lucas-Selfridge pseudoprime ok 951 - 100 is not a prime and not a strong Lucas-Selfridge pseudoprime ok 952 - 102 is not a prime and not a strong Lucas-Selfridge pseudoprime ok 953 - 323 is not a prime and not a strong Lucas-Selfridge pseudoprime ok 954 - 377 is not a prime and not a strong Lucas-Selfridge pseudoprime ok 955 - 2047 is not a prime and not a strong Lucas-Selfridge pseudoprime ok 956 - 2048 is not a prime and not a strong Lucas-Selfridge pseudoprime ok 957 - 5781 is not a prime and not a strong Lucas-Selfridge pseudoprime ok 958 - 9000 is not a prime and not a strong Lucas-Selfridge pseudoprime ok 959 - 14381 is not a prime and not a strong Lucas-Selfridge pseudoprime ok 960 - Lucas sequence 323 1 1 324 ok 961 - Lucas sequence 323 4 1 324 ok 962 - Lucas sequence 323 3 1 324 ok 963 - Lucas sequence 323 4 5 324 ok 964 - Lucas sequence 49001 25 117 24501 ok 965 - Lucas sequence 323 3 1 81 ok 966 - Lucas sequence 18971 10001 -1 4743 ok 967 - Lucas sequence 323 5 -1 81 ok 968 - Fibonacci(1001) ok 969 - Lucas(1001) ok 970 - lucasu(9,-1,3671) ok 971 - lucasu(287,-1,3079) ok 972 - lucasv(80,1,71) ok 973 - lucasv(63,1,13217) ok 974 - lucasv(10,8,88321) ok 975 - Miller-Rabin with 0 random bases ok 976 - Miller-Rabin with 100 uniform random bases for n returns prime ok 977 - prime 216807359884357411648908138950271200947 passes Euler-Plumb primality test ok 978 - prime 216807359884357411648908138950271200947 passes Frobenius primality test ok 979 - prime 216807359884357411648908138950271200947 passes Frobenius Khashin primality test ok 980 - prime 216807359884357411648908138950271200947 passes Frobenius Underwood primality test ok 981 - prime 216807359884357411648908138950271200947 passes BPSW primality test ok 982 - prime 339168371495941440319562622097823889491 passes Euler-Plumb primality test ok 983 - prime 339168371495941440319562622097823889491 passes Frobenius primality test ok 984 - prime 339168371495941440319562622097823889491 passes Frobenius Khashin primality test ok 985 - prime 339168371495941440319562622097823889491 passes Frobenius Underwood primality test ok 986 - prime 339168371495941440319562622097823889491 passes BPSW primality test ok 987 - prime 175647712566579256193079384409148729569 passes Euler-Plumb primality test ok 988 - prime 175647712566579256193079384409148729569 passes Frobenius primality test ok 989 - prime 175647712566579256193079384409148729569 passes Frobenius Khashin primality test ok 990 - prime 175647712566579256193079384409148729569 passes Frobenius Underwood primality test ok 991 - prime 175647712566579256193079384409148729569 passes BPSW primality test ok 992 - prime 213978050035770705635718665804334250861 passes Euler-Plumb primality test ok 993 - prime 213978050035770705635718665804334250861 passes Frobenius primality test ok 994 - prime 213978050035770705635718665804334250861 passes Frobenius Khashin primality test ok 995 - prime 213978050035770705635718665804334250861 passes Frobenius Underwood primality test ok 996 - prime 213978050035770705635718665804334250861 passes BPSW primality test ok 997 - prime 282014465653257435172223280631326130957 passes Euler-Plumb primality test ok 998 - prime 282014465653257435172223280631326130957 passes Frobenius primality test ok 999 - prime 282014465653257435172223280631326130957 passes Frobenius Khashin primality test ok 1000 - prime 282014465653257435172223280631326130957 passes Frobenius Underwood primality test ok 1001 - prime 282014465653257435172223280631326130957 passes BPSW primality test ok 1002 - prime 285690571631805499387265005140705006349 passes Euler-Plumb primality test ok 1003 - prime 285690571631805499387265005140705006349 passes Frobenius primality test ok 1004 - prime 285690571631805499387265005140705006349 passes Frobenius Khashin primality test ok 1005 - prime 285690571631805499387265005140705006349 passes Frobenius Underwood primality test ok 1006 - prime 285690571631805499387265005140705006349 passes BPSW primality test ok 1007 - prime 197905182544375865664507026666258550257 passes Euler-Plumb primality test ok 1008 - prime 197905182544375865664507026666258550257 passes Frobenius primality test ok 1009 - prime 197905182544375865664507026666258550257 passes Frobenius Khashin primality test ok 1010 - prime 197905182544375865664507026666258550257 passes Frobenius Underwood primality test ok 1011 - prime 197905182544375865664507026666258550257 passes BPSW primality test ok 1012 - prime 257978530672690459726721542547822424119 passes Euler-Plumb primality test ok 1013 - prime 257978530672690459726721542547822424119 passes Frobenius primality test ok 1014 - prime 257978530672690459726721542547822424119 passes Frobenius Khashin primality test ok 1015 - prime 257978530672690459726721542547822424119 passes Frobenius Underwood primality test ok 1016 - prime 257978530672690459726721542547822424119 passes BPSW primality test ok 1017 - prime 271150181404520740107101159842415035273 passes Euler-Plumb primality test ok 1018 - prime 271150181404520740107101159842415035273 passes Frobenius primality test ok 1019 - prime 271150181404520740107101159842415035273 passes Frobenius Khashin primality test ok 1020 - prime 271150181404520740107101159842415035273 passes Frobenius Underwood primality test ok 1021 - prime 271150181404520740107101159842415035273 passes BPSW primality test ok 1022 - prime 262187868871349017397376949493643287923 passes Euler-Plumb primality test ok 1023 - prime 262187868871349017397376949493643287923 passes Frobenius primality test ok 1024 - prime 262187868871349017397376949493643287923 passes Frobenius Khashin primality test ok 1025 - prime 262187868871349017397376949493643287923 passes Frobenius Underwood primality test ok 1026 - prime 262187868871349017397376949493643287923 passes BPSW primality test ok 1027 - composite 331692821169251128612023074084933636563 fails Euler-Plumb primality test ok 1028 - composite 331692821169251128612023074084933636563 fails Frobenius primality test ok 1029 - composite 331692821169251128612023074084933636563 fails Frobenius Khashin primality test ok 1030 - composite 331692821169251128612023074084933636563 fails Frobenius Underwood primality test ok 1031 - composite 331692821169251128612023074084933636563 fails BPSW primality test ok 1032 - composite 291142820834608911820232911620629416673 fails Euler-Plumb primality test ok 1033 - composite 291142820834608911820232911620629416673 fails Frobenius primality test ok 1034 - composite 291142820834608911820232911620629416673 fails Frobenius Khashin primality test ok 1035 - composite 291142820834608911820232911620629416673 fails Frobenius Underwood primality test ok 1036 - composite 291142820834608911820232911620629416673 fails BPSW primality test ok 1037 - composite 222553723073325022732878644722536036431 fails Euler-Plumb primality test ok 1038 - composite 222553723073325022732878644722536036431 fails Frobenius primality test ok 1039 - composite 222553723073325022732878644722536036431 fails Frobenius Khashin primality test ok 1040 - composite 222553723073325022732878644722536036431 fails Frobenius Underwood primality test ok 1041 - composite 222553723073325022732878644722536036431 fails BPSW primality test ok 1042 - composite 325464724689480915638128579172743588243 fails Euler-Plumb primality test ok 1043 - composite 325464724689480915638128579172743588243 fails Frobenius primality test ok 1044 - composite 325464724689480915638128579172743588243 fails Frobenius Khashin primality test ok 1045 - composite 325464724689480915638128579172743588243 fails Frobenius Underwood primality test ok 1046 - composite 325464724689480915638128579172743588243 fails BPSW primality test ok 1047 - composite 326662586910428159613180378374675586479 fails Euler-Plumb primality test ok 1048 - composite 326662586910428159613180378374675586479 fails Frobenius primality test ok 1049 - composite 326662586910428159613180378374675586479 fails Frobenius Khashin primality test ok 1050 - composite 326662586910428159613180378374675586479 fails Frobenius Underwood primality test ok 1051 - composite 326662586910428159613180378374675586479 fails BPSW primality test ok 1052 - composite 197395185602458924846767613337087999977 fails Euler-Plumb primality test ok 1053 - composite 197395185602458924846767613337087999977 fails Frobenius primality test ok 1054 - composite 197395185602458924846767613337087999977 fails Frobenius Khashin primality test ok 1055 - composite 197395185602458924846767613337087999977 fails Frobenius Underwood primality test ok 1056 - composite 197395185602458924846767613337087999977 fails BPSW primality test ok 1057 - composite 194157480002729115387621030269291379439 fails Euler-Plumb primality test ok 1058 - composite 194157480002729115387621030269291379439 fails Frobenius primality test ok 1059 - composite 194157480002729115387621030269291379439 fails Frobenius Khashin primality test ok 1060 - composite 194157480002729115387621030269291379439 fails Frobenius Underwood primality test ok 1061 - composite 194157480002729115387621030269291379439 fails BPSW primality test ok 1062 - composite 180664716097986611402007784149669477223 fails Euler-Plumb primality test ok 1063 - composite 180664716097986611402007784149669477223 fails Frobenius primality test ok 1064 - composite 180664716097986611402007784149669477223 fails Frobenius Khashin primality test ok 1065 - composite 180664716097986611402007784149669477223 fails Frobenius Underwood primality test ok 1066 - composite 180664716097986611402007784149669477223 fails BPSW primality test ok 1067 - composite 248957328957166865967197552940796547567 fails Euler-Plumb primality test ok 1068 - composite 248957328957166865967197552940796547567 fails Frobenius primality test ok 1069 - composite 248957328957166865967197552940796547567 fails Frobenius Khashin primality test ok 1070 - composite 248957328957166865967197552940796547567 fails Frobenius Underwood primality test ok 1071 - composite 248957328957166865967197552940796547567 fails BPSW primality test ok 1072 - composite 276174467950103435998583356206846142651 fails Euler-Plumb primality test ok 1073 - composite 276174467950103435998583356206846142651 fails Frobenius primality test ok 1074 - composite 276174467950103435998583356206846142651 fails Frobenius Khashin primality test ok 1075 - composite 276174467950103435998583356206846142651 fails Frobenius Underwood primality test ok 1076 - composite 276174467950103435998583356206846142651 fails BPSW primality test ok 1077 - prime 2 is a Frobenius (37,-13) pseudoprime ok 1078 - prime 3 is a Frobenius (37,-13) pseudoprime ok 1079 - prime 5 is a Frobenius (37,-13) pseudoprime ok 1080 - prime 7 is a Frobenius (37,-13) pseudoprime ok 1081 - prime 11 is a Frobenius (37,-13) pseudoprime ok 1082 - prime 13 is a Frobenius (37,-13) pseudoprime ok 1083 - prime 17 is a Frobenius (37,-13) pseudoprime ok 1084 - prime 19 is a Frobenius (37,-13) pseudoprime ok 1085 - prime 23 is a Frobenius (37,-13) pseudoprime ok 1086 - prime 29 is a Frobenius (37,-13) pseudoprime ok 1087 - prime 31 is a Frobenius (37,-13) pseudoprime ok 1088 - prime 37 is a Frobenius (37,-13) pseudoprime ok 1089 - prime 41 is a Frobenius (37,-13) pseudoprime ok 1090 - prime 43 is a Frobenius (37,-13) pseudoprime ok 1091 - prime 47 is a Frobenius (37,-13) pseudoprime ok 1092 - miller_rabin_random with a seed ok 1093 - MRR(10007,-4) ok t/19-moebius.t ............... 1..191 ok 1 - moebius(0) ok 2 - moebius 1 .. 20 ok 3 - totient 0 .. 69 ok 4 - euler_phi(123457) == 123456 ok 5 - euler_phi(123456) == 41088 ok 6 - euler_phi(123456789) == 82260072 ok 7 - Jordan's Totient J_4 ok 8 - Jordan's Totient J_3 ok 9 - Jordan's Totient J_5 ok 10 - Jordan's Totient J_6 ok 11 - Jordan's Totient J_1 ok 12 - Jordan's Totient J_2 ok 13 - Jordan's Totient J_7 ok 14 - carmichael_lambda with range: 0, 69 ok 15 - liouville(24) = 1 ok 16 - liouville(51) = 1 ok 17 - liouville(94) = 1 ok 18 - liouville(183) = 1 ok 19 - liouville(294) = 1 ok 20 - liouville(629) = 1 ok 21 - liouville(1488) = 1 ok 22 - liouville(3684) = 1 ok 23 - liouville(8006) = 1 ok 24 - liouville(8510) = 1 ok 25 - liouville(32539) = 1 ok 26 - liouville(57240) = 1 ok 27 - liouville(103138) = 1 ok 28 - liouville(238565) = 1 ok 29 - liouville(444456) = 1 ok 30 - liouville(820134) = 1 ok 31 - liouville(1185666) = 1 ok 32 - liouville(3960407) = 1 ok 33 - liouville(4429677) = 1 ok 34 - liouville(13719505) = 1 ok 35 - liouville(29191963) = 1 ok 36 - liouville(57736144) = 1 ok 37 - liouville(134185856) = 1 ok 38 - liouville(262306569) = 1 ok 39 - liouville(324235872) = 1 ok 40 - liouville(563441153) = 1 ok 41 - liouville(1686170713) = 1 ok 42 - liouville(2489885844) = 1 ok 43 - liouville(1260238066729040) = 1 ok 44 - liouville(10095256575169232896) = 1 ok 45 - liouville(23) = -1 ok 46 - liouville(47) = -1 ok 47 - liouville(113) = -1 ok 48 - liouville(163) = -1 ok 49 - liouville(378) = -1 ok 50 - liouville(942) = -1 ok 51 - liouville(1669) = -1 ok 52 - liouville(2808) = -1 ok 53 - liouville(8029) = -1 ok 54 - liouville(9819) = -1 ok 55 - liouville(23863) = -1 ok 56 - liouville(39712) = -1 ok 57 - liouville(87352) = -1 ok 58 - liouville(210421) = -1 ok 59 - liouville(363671) = -1 ok 60 - liouville(562894) = -1 ok 61 - liouville(1839723) = -1 ok 62 - liouville(3504755) = -1 ok 63 - liouville(7456642) = -1 ok 64 - liouville(14807115) = -1 ok 65 - liouville(22469612) = -1 ok 66 - liouville(49080461) = -1 ok 67 - liouville(132842464) = -1 ok 68 - liouville(146060791) = -1 ok 69 - liouville(279256445) = -1 ok 70 - liouville(802149183) = -1 ok 71 - liouville(1243577750) = -1 ok 72 - liouville(3639860654) = -1 ok 73 - liouville(1807253903626380) = -1 ok 74 - liouville(12063177829788352512) = -1 ok 75 - exp_mangoldt(130321) == 19 ok 76 - exp_mangoldt(399981) == 1 ok 77 - exp_mangoldt(10) == 1 ok 78 - exp_mangoldt(5) == 5 ok 79 - exp_mangoldt(3) == 3 ok 80 - exp_mangoldt(399983) == 399983 ok 81 - exp_mangoldt(6) == 1 ok 82 - exp_mangoldt(8) == 2 ok 83 - exp_mangoldt(83521) == 17 ok 84 - exp_mangoldt(4) == 2 ok 85 - exp_mangoldt(9) == 3 ok 86 - exp_mangoldt(-13) == 1 ok 87 - exp_mangoldt(823543) == 7 ok 88 - exp_mangoldt(25) == 5 ok 89 - exp_mangoldt(27) == 3 ok 90 - exp_mangoldt(0) == 1 ok 91 - exp_mangoldt(11) == 11 ok 92 - exp_mangoldt(7) == 7 ok 93 - exp_mangoldt(1) == 1 ok 94 - exp_mangoldt(2) == 2 ok 95 - exp_mangoldt(399982) == 1 ok 96 - znorder(1, 35) = 1 ok 97 - znorder(2, 35) = 12 ok 98 - znorder(4, 35) = 6 ok 99 - znorder(6, 35) = 2 ok 100 - znorder(7, 35) = ok 101 - znorder(2, 1000000000000031) = 81788975100 ok 102 - znorder(1, 1) = 1 ok 103 - znorder(0, 0) = ok 104 - znorder(1, 0) = ok 105 - znorder(25, 0) = ok 106 - znorder(1, 1) = 1 ok 107 - znorder(19, 1) = 1 ok 108 - znorder(1, 19) = 1 ok 109 - znorder(2, 19) = 18 ok 110 - znorder(3, 20) = 4 ok 111 - znorder(57, 1000000003) = 189618 ok 112 - znorder(67, 999999749) = 30612237 ok 113 - znorder(22, 999991815) = 69844 ok 114 - znorder(10, 2147475467) = 31448382 ok 115 - znorder(141, 2147475467) = 1655178 ok 116 - znorder(7410, 2147475467) = 39409 ok 117 - znorder(31407, 2147475467) = 266 ok 118 - znorder(2, 2405286912458753) = 1073741824 ok 119 - znprimroot(1685283601) == 164 ok 120 - znprimroot(2232881419280027) == 6 ok 121 - znprimroot(4) == 3 ok 122 - znprimroot(9223372036854775837) == 5 ok 123 - znprimroot(7) == 3 ok 124 - znprimroot(14123555781055773271) == 6 ok 125 - znprimroot(10) == 3 ok 126 - znprimroot(5109721) == 94 ok 127 - znprimroot(90441961) == 113 ok 128 - znprimroot(17551561) == 97 ok 129 - znprimroot(1729) == ok 130 - znprimroot(8) == ok 131 - znprimroot(1520874431) == 17 ok 132 - znprimroot(9) == 2 ok 133 - znprimroot(0) == ok 134 - znprimroot(1) == 0 ok 135 - znprimroot(2) == 1 ok 136 - znprimroot(1407827621) == 2 ok 137 - znprimroot(-11) == 2 ok 138 - znprimroot(5) == 2 ok 139 - znprimroot(3) == 2 ok 140 - znprimroot(100000001) == ok 141 - znprimroot(89637484042681) == 335 ok 142 - znprimroot(6) == 5 ok 143 - znprimroot("-100000898") == 31 ok 144 - 3 is not a primitive root mod 10^30+57 ok 145 - 5 is a primitive root mod 10^30+57 ok 146 - 3 is a primitive root mod 10^30+66 ok 147 - totient(9082348072348972344232348972345) ok 148 - jordan_totient(4,9082348072348972344232348972345) ok 149 - carmichael_lambda(9082348072348972344232348972345) ok 150 - totient(9082348072348972344232348972353) ok 151 - jordan_totient(7,9082348072348972344232348972353) ok 152 - carmichael_lambda(9082348072348972344232348972353) ok 153 - moebius(9082348072348972344232348972353) ok 154 - liouville(9082348072348972344232348972353) ok 155 - znorder(17,100000000000000000000000065) ok 156 - znprimroot(9218092345892375982375972365235234234238) ok 157 - Ramanujan Tau(243) = 13400796651732 ok 158 - Ramanujan Tau(1) = 1 ok 159 - Ramanujan Tau(2) = -24 ok 160 - Ramanujan Tau(53) = -1596055698 ok 161 - Ramanujan Tau(0) = 0 ok 162 - Ramanujan Tau(4) = -1472 ok 163 - Ramanujan Tau(83456) = 130596522071273977247956992 ok 164 - Ramanujan Tau(3) = 252 ok 165 - Ramanujan Tau(106) = 38305336752 ok 166 - Ramanujan Tau(16089) = 12655813883111729342208 ok 167 - Ramanujan Tau(5) = 4830 ok 168 - crt() = 0 ok 169 - crt([4 5]) = 4 ok 170 - crt([77 11]) = 0 ok 171 - crt([0 5],[0 6]) = 0 ok 172 - crt([14 5],[0 6]) = 24 ok 173 - crt([10 11],[4 22],[9 19]) = ok 174 - crt([77 13],[79 17]) = 181 ok 175 - crt([2 3],[3 5],[2 7]) = 23 ok 176 - crt([10 11],[4 12],[12 13]) = 1000 ok 177 - crt([42 127],[24 128]) = 2328 ok 178 - crt([32 126],[23 129]) = 410 ok 179 - crt([2328 16256],[410 5418]) = 28450328 ok 180 - crt([1 10],[11 100]) = 11 ok 181 - crt([11 100],[22 100]) = ok 182 - crt([1753051086 3243410059],[2609156951 2439462460]) = 6553408220202087311 ok 183 - crt([6325451203932218304 2750166238021308],[5611464489438299732 94116455416164094]) = 1433171050835863115088946517796 ok 184 - crt([1762568892212871168 8554171181844660224],[2462425671659520000 2016911328009584640]) = 188079320578009823963731127992320 ok 185 - crt([856686401696104448 11943471150311931904],[6316031051955372032 13290002569363587072]) = 943247297188055114646647659888640 ok 186 - crt([-3105579549 3743000622],[-1097075646 1219365911]) = 2754322117681955433 ok 187 - crt([-925543788386357567 243569243147991],[-1256802905822510829 28763455974459440]) = 837055903505897549759994093811 ok 188 - crt([-2155972909982577461 8509855219791386062],[-5396280069505638574 6935743629860450393]) = 12941173114744545542549046204020289525 ok 189 - crt([3 5],[2 0]) = ok 190 - crt([3 0],[2 3]) = ok 191 - crt([3 5],[3 0],[2 3]) = ok t/20-primorial.t ............. 1..12 ok 1 - factorial 0 .. 30 ok 2 - factorialmod ok 3 - primorial(nth(...)) 0 - 30 ok 4 - pn_primorial(...) 0 - 30 ok 5 - primorial(100) ok 6 - primorial(541) ok 7 - subfactoral(n) for 0..23 ok 8 - factorial_sum(n) for 0..22 ok 9 - multifactorial(n,0) for 0..22 ok 10 - multifactorial(n,1) for 0..22 ok 11 - multifactorial(n,2) for 0..26 ok 12 - multifactorial(n,3) for 0..29 ok t/21-conseq-lcm.t ............ 1..102 ok 1 - consecutive_integer_lcm(0) ok 2 - consecutive_integer_lcm(1) ok 3 - consecutive_integer_lcm(2) ok 4 - consecutive_integer_lcm(3) ok 5 - consecutive_integer_lcm(4) ok 6 - consecutive_integer_lcm(5) ok 7 - consecutive_integer_lcm(6) ok 8 - consecutive_integer_lcm(7) ok 9 - consecutive_integer_lcm(8) ok 10 - consecutive_integer_lcm(9) ok 11 - consecutive_integer_lcm(10) ok 12 - consecutive_integer_lcm(11) ok 13 - consecutive_integer_lcm(12) ok 14 - consecutive_integer_lcm(13) ok 15 - consecutive_integer_lcm(14) ok 16 - consecutive_integer_lcm(15) ok 17 - consecutive_integer_lcm(16) ok 18 - consecutive_integer_lcm(17) ok 19 - consecutive_integer_lcm(18) ok 20 - consecutive_integer_lcm(19) ok 21 - consecutive_integer_lcm(20) ok 22 - consecutive_integer_lcm(21) ok 23 - consecutive_integer_lcm(22) ok 24 - consecutive_integer_lcm(23) ok 25 - consecutive_integer_lcm(24) ok 26 - consecutive_integer_lcm(25) ok 27 - consecutive_integer_lcm(26) ok 28 - consecutive_integer_lcm(27) ok 29 - consecutive_integer_lcm(28) ok 30 - consecutive_integer_lcm(29) ok 31 - consecutive_integer_lcm(30) ok 32 - consecutive_integer_lcm(31) ok 33 - consecutive_integer_lcm(32) ok 34 - consecutive_integer_lcm(33) ok 35 - consecutive_integer_lcm(34) ok 36 - consecutive_integer_lcm(35) ok 37 - consecutive_integer_lcm(36) ok 38 - consecutive_integer_lcm(37) ok 39 - consecutive_integer_lcm(38) ok 40 - consecutive_integer_lcm(39) ok 41 - consecutive_integer_lcm(40) ok 42 - consecutive_integer_lcm(41) ok 43 - consecutive_integer_lcm(42) ok 44 - consecutive_integer_lcm(43) ok 45 - consecutive_integer_lcm(44) ok 46 - consecutive_integer_lcm(45) ok 47 - consecutive_integer_lcm(46) ok 48 - consecutive_integer_lcm(47) ok 49 - consecutive_integer_lcm(48) ok 50 - consecutive_integer_lcm(49) ok 51 - consecutive_integer_lcm(50) ok 52 - consecutive_integer_lcm(51) ok 53 - consecutive_integer_lcm(52) ok 54 - consecutive_integer_lcm(53) ok 55 - consecutive_integer_lcm(54) ok 56 - consecutive_integer_lcm(55) ok 57 - consecutive_integer_lcm(56) ok 58 - consecutive_integer_lcm(57) ok 59 - consecutive_integer_lcm(58) ok 60 - consecutive_integer_lcm(59) ok 61 - consecutive_integer_lcm(60) ok 62 - consecutive_integer_lcm(61) ok 63 - consecutive_integer_lcm(62) ok 64 - consecutive_integer_lcm(63) ok 65 - consecutive_integer_lcm(64) ok 66 - consecutive_integer_lcm(65) ok 67 - consecutive_integer_lcm(66) ok 68 - consecutive_integer_lcm(67) ok 69 - consecutive_integer_lcm(68) ok 70 - consecutive_integer_lcm(69) ok 71 - consecutive_integer_lcm(70) ok 72 - consecutive_integer_lcm(71) ok 73 - consecutive_integer_lcm(72) ok 74 - consecutive_integer_lcm(73) ok 75 - consecutive_integer_lcm(74) ok 76 - consecutive_integer_lcm(75) ok 77 - consecutive_integer_lcm(76) ok 78 - consecutive_integer_lcm(77) ok 79 - consecutive_integer_lcm(78) ok 80 - consecutive_integer_lcm(79) ok 81 - consecutive_integer_lcm(80) ok 82 - consecutive_integer_lcm(81) ok 83 - consecutive_integer_lcm(82) ok 84 - consecutive_integer_lcm(83) ok 85 - consecutive_integer_lcm(84) ok 86 - consecutive_integer_lcm(85) ok 87 - consecutive_integer_lcm(86) ok 88 - consecutive_integer_lcm(87) ok 89 - consecutive_integer_lcm(88) ok 90 - consecutive_integer_lcm(89) ok 91 - consecutive_integer_lcm(90) ok 92 - consecutive_integer_lcm(91) ok 93 - consecutive_integer_lcm(92) ok 94 - consecutive_integer_lcm(93) ok 95 - consecutive_integer_lcm(94) ok 96 - consecutive_integer_lcm(95) ok 97 - consecutive_integer_lcm(96) ok 98 - consecutive_integer_lcm(97) ok 99 - consecutive_integer_lcm(98) ok 100 - consecutive_integer_lcm(99) ok 101 - consecutive_integer_lcm(100) ok 102 - consecutive_integer_lcm(2000) ok t/22-partitions.t ............ 1..55 ok 1 - partitions(0) ok 2 - partitions(1) ok 3 - partitions(2) ok 4 - partitions(3) ok 5 - partitions(4) ok 6 - partitions(5) ok 7 - partitions(6) ok 8 - partitions(7) ok 9 - partitions(8) ok 10 - partitions(9) ok 11 - partitions(10) ok 12 - partitions(11) ok 13 - partitions(12) ok 14 - partitions(13) ok 15 - partitions(14) ok 16 - partitions(15) ok 17 - partitions(16) ok 18 - partitions(17) ok 19 - partitions(18) ok 20 - partitions(19) ok 21 - partitions(20) ok 22 - partitions(21) ok 23 - partitions(22) ok 24 - partitions(23) ok 25 - partitions(24) ok 26 - partitions(25) ok 27 - partitions(26) ok 28 - partitions(27) ok 29 - partitions(28) ok 30 - partitions(29) ok 31 - partitions(30) ok 32 - partitions(31) ok 33 - partitions(32) ok 34 - partitions(33) ok 35 - partitions(34) ok 36 - partitions(35) ok 37 - partitions(36) ok 38 - partitions(37) ok 39 - partitions(38) ok 40 - partitions(39) ok 41 - partitions(40) ok 42 - partitions(41) ok 43 - partitions(42) ok 44 - partitions(43) ok 45 - partitions(44) ok 46 - partitions(45) ok 47 - partitions(46) ok 48 - partitions(47) ok 49 - partitions(48) ok 50 - partitions(49) ok 51 - partitions(50) ok 52 - partitions(1000) ok 53 - partitions(500) ok 54 - partitions(100) ok 55 - partitions(4497) ok t/23-gcd.t ................... 1..159 ok 1 - gcd() = 0 ok 2 - gcd(8) = 8 ok 3 - gcd(9,9) = 9 ok 4 - gcd(0,0) = 0 ok 5 - gcd(1,0,0) = 1 ok 6 - gcd(0,0,1) = 1 ok 7 - gcd(17,19) = 1 ok 8 - gcd(54,24) = 6 ok 9 - gcd(42,56) = 14 ok 10 - gcd(9,28) = 1 ok 11 - gcd(48,180) = 12 ok 12 - gcd(2705353758,2540073744,3512215098,2214052398) = 18 ok 13 - gcd(2301535282,3609610580,3261189640) = 106 ok 14 - gcd(694966514,510402262,195075284,609944479) = 181 ok 15 - gcd(294950648,651855678,263274296,493043500,581345426) = 58 ok 16 - gcd(-30,-90,90) = 30 ok 17 - gcd(-3,-9,-18) = 3 ok 18 - lcm() = 0 ok 19 - lcm(8) = 8 ok 20 - lcm(9,9) = 9 ok 21 - lcm(0,0) = 0 ok 22 - lcm(1,0,0) = 0 ok 23 - lcm(0,0,1) = 0 ok 24 - lcm(17,19) = 323 ok 25 - lcm(54,24) = 216 ok 26 - lcm(42,56) = 168 ok 27 - lcm(9,28) = 252 ok 28 - lcm(48,180) = 720 ok 29 - lcm(36,45) = 180 ok 30 - lcm(-36,45) = 180 ok 31 - lcm(-36,-45) = 180 ok 32 - lcm(30,15,5) = 30 ok 33 - lcm(2,3,4,5) = 60 ok 34 - lcm(30245,114552) = 3464625240 ok 35 - lcm(11926,78001,2211) = 2790719778 ok 36 - lcm(1426,26195,3289,8346) = 4254749070 ok 37 - kronecker(109981, 737777) = 1 ok 38 - kronecker(737779, 121080) = -1 ok 39 - kronecker(-737779, 121080) = 1 ok 40 - kronecker(737779, -121080) = -1 ok 41 - kronecker(-737779, -121080) = -1 ok 42 - kronecker(12345, 331) = -1 ok 43 - kronecker(1001, 9907) = -1 ok 44 - kronecker(19, 45) = 1 ok 45 - kronecker(8, 21) = -1 ok 46 - kronecker(5, 21) = 1 ok 47 - kronecker(5, 1237) = -1 ok 48 - kronecker(10, 49) = 1 ok 49 - kronecker(123, 4567) = -1 ok 50 - kronecker(3, 18) = 0 ok 51 - kronecker(3, -18) = 0 ok 52 - kronecker(-2, 0) = 0 ok 53 - kronecker(-1, 0) = 1 ok 54 - kronecker(0, 0) = 0 ok 55 - kronecker(1, 0) = 1 ok 56 - kronecker(2, 0) = 0 ok 57 - kronecker(-2, 1) = 1 ok 58 - kronecker(-1, 1) = 1 ok 59 - kronecker(0, 1) = 1 ok 60 - kronecker(1, 1) = 1 ok 61 - kronecker(2, 1) = 1 ok 62 - kronecker(-2, -1) = -1 ok 63 - kronecker(-1, -1) = -1 ok 64 - kronecker(0, -1) = 1 ok 65 - kronecker(1, -1) = 1 ok 66 - kronecker(2, -1) = 1 ok 67 - kronecker(3686556869, 428192857) = 1 ok 68 - kronecker(-1453096827, 364435739) = -1 ok 69 - kronecker(3527710253, -306243569) = 1 ok 70 - kronecker(-1843526669, -332265377) = 1 ok 71 - kronecker(321781679, 4095783323) = -1 ok 72 - kronecker(454249403, -79475159) = -1 ok 73 - valuation(-4,2) = 2 ok 74 - valuation(0,0) = 0 ok 75 - valuation(1,0) = 0 ok 76 - valuation(96552,6) = 3 ok 77 - valuation(1879048192,2) = 28 ok 78 - hammingweight(0) = 0 ok 79 - hammingweight(1) = 1 ok 80 - hammingweight(2304786) = 9 ok 81 - hammingweight(-2304786) = 9 ok 82 - hammingweight(<256-bit prime>) = 128 ok 83 - binomial(0,0)) = 1 ok 84 - binomial(0,1)) = 0 ok 85 - binomial(1,0)) = 1 ok 86 - binomial(1,1)) = 1 ok 87 - binomial(1,2)) = 0 ok 88 - binomial(13,13)) = 1 ok 89 - binomial(13,14)) = 0 ok 90 - binomial(35,16)) = 4059928950 ok 91 - binomial(40,19)) = 131282408400 ok 92 - binomial(67,31)) = 11923179284862717872 ok 93 - binomial(228,12)) = 30689926618143230620 ok 94 - binomial(177,78)) = 3314450882216440395106465322941753788648564665022000 ok 95 - binomial(-10,5)) = -2002 ok 96 - binomial(-11,22)) = 64512240 ok 97 - binomial(-12,23)) = -286097760 ok 98 - binomial(-23,-26)) = -2300 ok 99 - binomial(-12,-23)) = -705432 ok 100 - binomial(12,-23)) = 0 ok 101 - binomial(12,-12)) = 0 ok 102 - binomial(-12,0)) = 1 ok 103 - binomial(0,-1)) = 0 ok 104 - binomial(10,n) for n in -15 .. 15 ok 105 - binomial(-10,n) for n in -15 .. 15 ok 106 - gcdext(0,0) = [0 0 0] ok 107 - gcdext(0,28) = [0 1 28] ok 108 - gcdext(28,0) = [1 0 28] ok 109 - gcdext(0,-28) = [0 -1 28] ok 110 - gcdext(-28,0) = [-1 0 28] ok 111 - gcdext(3706259912,1223661804) = [123862139 -375156991 4] ok 112 - gcdext(3706259912,-1223661804) = [123862139 375156991 4] ok 113 - gcdext(-3706259912,1223661804) = [-123862139 -375156991 4] ok 114 - gcdext(-3706259912,-1223661804) = [-123862139 375156991 4] ok 115 - gcdext(22,242) = [1 0 22] ok 116 - gcdext(2731583792,3028241442) = [-187089956 168761937 2] ok 117 - gcdext(42272720,12439910) = [-21984 74705 70] ok 118 - gcdext(10139483024654235947,8030280778952246347) = [-2715309548282941287 3428502169395958570 1] ok 119 - vecsum() = 0 ok 120 - vecsum(-1) = -1 ok 121 - vecsum(1 -1) = 0 ok 122 - vecsum(-1 1) = 0 ok 123 - vecsum(-1 1) = 0 ok 124 - vecsum(-2147483648 2147483648) = 0 ok 125 - vecsum(-4294967296 4294967296) = 0 ok 126 - vecsum(-9223372036854775808 9223372036854775808) = 0 ok 127 - vecsum(18446744073709551615 -18446744073709551615 18446744073709551615) = 18446744073709551615 ok 128 - vecsum(18446744073709551616 18446744073709551616 18446744073709551616) = 55340232221128654848 ok 129 - vecsum(18446744073709540400 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000) = 18446744073709620400 ok 130 - vecsum(8940560560432415123818915720822415267807123681474252424566821897853531 7778547618243732438765515250718016989143156212607337512983395245244477 2189527014402679437989261998352299668199802723705390949617417617818071 -3503124593441728232550096334002786135023 3320980231353895482190953072226607400824266105545861535055220237211523) = 22229615424432722482764646042115836201380906995100292325888852211992579 ok 131 - vecprod() = 1 ok 132 - vecprod(1) = 1 ok 133 - vecprod(-1) = -1 ok 134 - vecprod(-1 -2) = 2 ok 135 - vecprod(-1 -2) = 2 ok 136 - vecprod(32767 -65535) = -2147385345 ok 137 - vecprod(32767 -65535) = -2147385345 ok 138 - vecprod(32768 -65535) = -2147450880 ok 139 - vecprod(32768 -65536) = -2147483648 ok 140 - vecprod(18446744073709551616 18446744073709551616 18446744073709551616) = 6277101735386680763835789423207666416102355444464034512896 ok 141 - vecprod(22229615424432722482764646042115836201380906995100292325888852211992579 8940560560432415123818915720822415267807123681474252424566821897853531 7778547618243732438765515250718016989143156212607337512983395245244477 2189527014402679437989261998352299668199802723705390949617417617818071 -3503124593441728232550096334002786135023 3320980231353895482190953072226607400824266105545861535055220237211523) = -39379245925303999064282306510014189368381156100297892522429483126331668772925108615466135642644100480444268237833039496827424630610878534616461996117558125896627456342217566092980432383889727428817722190472716948287416569075064047381625246037918268748866755509776641498138274065792670793438081730710568979196957310574284265747455825604868707218992022874441687475660523342376167971071980207 ok 142 - gcd(a,b,c) ok 143 - gcd(a,b) ok 144 - gcd of two primes = 1 ok 145 - lcm(p1,p2) ok 146 - lcm(p1,p1) ok 147 - lcm(a,b,c,d,e) ok 148 - kronecker(..., ...) ok 149 - is_power(18475335773296164196) == 0 ok 150 - is_power(322396049^18) == 18 ok 151 - is_power(903111^16) == 16 ok 152 - is_power(903111^16,4) is true ok 153 - is_power(29905047121918201644964877983907^2) == 2 ok 154 - is_prime_power(18475335773296164196) == 0 ok 155 - is_prime_power(29905047121918201644964877983907^2) == 0 ok 156 - is_prime_power(322396049^18) == 18 ok 157 - is_square for -4 .. 16 ok 158 - 60481729 is a square ok 159 - is_square() = 1 ok t/24-bernfrac.t .............. 1..78 ok 1 - B_2n numerators 0 .. 30 ok 2 - B_2n denominators 0 .. 57 ok 3 - Stirling 3: L(0,0..1) ok 4 - Stirling 3: L(1,0..2) ok 5 - Stirling 3: L(2,0..3) ok 6 - Stirling 3: L(3,0..4) ok 7 - Stirling 3: L(4,0..5) ok 8 - Stirling 3: L(5,0..6) ok 9 - Stirling 3: L(6,0..7) ok 10 - Stirling 3: L(7,0..8) ok 11 - Stirling 3: L(8,0..9) ok 12 - Stirling 3: L(9,0..10) ok 13 - Stirling 3: L(10,0..11) ok 14 - Stirling 3: L(11,0..12) ok 15 - Stirling 3: L(12,0..13) ok 16 - Stirling 3: L(13,0..14) ok 17 - Stirling 3: L(14,0..15) ok 18 - Stirling 3: L(15,0..16) ok 19 - Stirling 3: L(16,0..17) ok 20 - Stirling 3: L(17,0..18) ok 21 - Stirling 3: L(18,0..19) ok 22 - Stirling 2: S(0,0..1) ok 23 - Stirling 2: S(1,0..2) ok 24 - Stirling 2: S(2,0..3) ok 25 - Stirling 2: S(3,0..4) ok 26 - Stirling 2: S(4,0..5) ok 27 - Stirling 2: S(5,0..6) ok 28 - Stirling 2: S(6,0..7) ok 29 - Stirling 2: S(7,0..8) ok 30 - Stirling 2: S(8,0..9) ok 31 - Stirling 2: S(9,0..10) ok 32 - Stirling 2: S(10,0..11) ok 33 - Stirling 2: S(11,0..12) ok 34 - Stirling 2: S(12,0..13) ok 35 - Stirling 2: S(13,0..14) ok 36 - Stirling 2: S(14,0..15) ok 37 - Stirling 2: S(15,0..16) ok 38 - Stirling 2: S(16,0..17) ok 39 - Stirling 2: S(17,0..18) ok 40 - Stirling 2: S(18,0..19) ok 41 - Stirling 2: S(19,0..20) ok 42 - Stirling 2: S(20,0..21) ok 43 - Stirling 1: s(0,0..1) ok 44 - Stirling 1: s(1,0..2) ok 45 - Stirling 1: s(2,0..3) ok 46 - Stirling 1: s(3,0..4) ok 47 - Stirling 1: s(4,0..5) ok 48 - Stirling 1: s(5,0..6) ok 49 - Stirling 1: s(6,0..7) ok 50 - Stirling 1: s(7,0..8) ok 51 - Stirling 1: s(8,0..9) ok 52 - Stirling 1: s(9,0..10) ok 53 - Stirling 1: s(10,0..11) ok 54 - Stirling 1: s(11,0..12) ok 55 - Stirling 1: s(12,0..13) ok 56 - Stirling 1: s(13,0..14) ok 57 - Stirling 1: s(14,0..15) ok 58 - Stirling 1: s(15,0..16) ok 59 - Stirling 1: s(16,0..17) ok 60 - Stirling 1: s(17,0..18) ok 61 - Stirling 1: s(18,0..19) ok 62 - Stirling 1: s(19,0..20) ok 63 - Stirling 1: s(20,0..21) ok 64 - L(246,61) ok 65 - S(137,14) ok 66 - s(99,14) ok 67 - harmfrac(27) ok 68 - harmfrac(172) ok 69 - harmreal(5,6) ok 70 - harmreal(15,3) ok 71 - harmreal(15,25) ok 72 - harmreal(1500,85) ok 73 - harmreal(2502,764) ok 74 - harmreal(2502,765) ok 75 - bern(24) ok 76 - bern(16,5) ok 77 - bern(200,7) ok 78 - bern(222,260) ok t/25-const-euler.t ........... 1..2 ok 1 - Euler(0 .. 99) ok 2 - Euler(100,200,300,...,1000) ok t/25-const-pi.t .............. 1..1 ok 1 - Pi(2 .. 999) ok t/26-combinatorial.t ......... 1..14 ok 1 - permtonum([]) ok 2 - permtonum([0]) ok 3 - permtonum([1,0]) ok 4 - permtonum([6,3,4,2,5,0,1]) ok 5 - permtonum( 20 ) ok 6 - permtonum( 26 ) ok 7 - permtonum( 40 ) ok 8 - numtoperm(0,0) ok 9 - numtoperm(1,0) ok 10 - numtoperm(1,1) ok 11 - numtoperm(5,15) ok 12 - numtoperm(5,-2) ok 13 - numtoperm(24,987654321) ok 14 - numtoperm(40,...) ok t/26-digits.t ................ 1..13 ok 1 - todigits 0 ok 2 - todigits 1 ok 3 - todigits 77 ok 4 - todigits 77 base 2 ok 5 - todigits 77 base 3 ok 6 - todigits 77 base 21 ok 7 - todigits 900 base 2 ok 8 - todigits 900 base 2 len 0 ok 9 - todigits 900 base 2 len 3 ok 10 - todigits 900 base 2 len 32 ok 11 - todigits 58127 base 16 ok 12 - todigits 6345354 base 10 len 4 ok 13 - todigits ignores sign ok t/26-int.t ................... 1..74 ok 1 - powint(-3,0) = 1 ok 2 - powint(-3,1) = -3 ok 3 - powint(-3,2) = 9 ok 4 - powint(-3,3) = -27 ok 5 - powint(-2,0) = 1 ok 6 - powint(-2,1) = -2 ok 7 - powint(-2,2) = 4 ok 8 - powint(-2,3) = -8 ok 9 - powint(-1,0) = 1 ok 10 - powint(-1,1) = -1 ok 11 - powint(-1,2) = 1 ok 12 - powint(-1,3) = -1 ok 13 - powint(0,0) = 1 ok 14 - powint(0,1) = 0 ok 15 - powint(0,2) = 0 ok 16 - powint(0,3) = 0 ok 17 - powint(1,0) = 1 ok 18 - powint(1,1) = 1 ok 19 - powint(1,2) = 1 ok 20 - powint(1,3) = 1 ok 21 - powint(2,0) = 1 ok 22 - powint(2,1) = 2 ok 23 - powint(2,2) = 4 ok 24 - powint(2,3) = 8 ok 25 - powint(3,0) = 1 ok 26 - powint(3,1) = 3 ok 27 - powint(3,2) = 9 ok 28 - powint(3,3) = 27 ok 29 - powint(5,6) = 15625 ok 30 - powint(2,16) = 65536 ok 31 - (2^32)^3 ok 32 - 3^(2^7) ok 33 - mulint( -3 .. 3, -3 .. 3) ok 34 - mulint(13282407956253574712,14991082624209354397) = 199117675120653046511338473800925208664 ok 35 - addint( -3 .. 3, -3 .. 3) ok 36 - addint(1178630961471601951655862,827639478068904540012) = 1179458600949670856195874 ok 37 - addint(-2555488174170453670799,1726145541361106236340) = -829342632809347434459 ok 38 - subint( -3 .. 3, -3 .. 3) ok 39 - subint(68719214592,281474976448512) = -281406257233920 ok 40 - subint(38631281077,12191281349924010278) = -12191281311292729201 ok 41 - subint(-38631281077,12191281349924010278) = -12191281388555291355 ok 42 - subint(-38631281077,-12191281349924010278) = 12191281311292729201 ok 43 - subint(9686117847286759,419039659798583) = 9267078187488176 ok 44 - subint(14888606332669627740937300680965976203,14888605897080617527808122501731945103) = 435589010213129178179234031100 ok 45 - divint(1,0) ok 46 - divint(1,0) ok 47 - divint(1024,x) for 1 .. 1025 ok 48 - divint(-1024,x) for 1 .. 1025 ok 49 - modint(1,0) ok 50 - modint(1,0) ok 51 - modint(1024,x) for 1 .. 1025 ok 52 - modint(-1024,x) for 1 .. 1025 ok 53 - divrem(1,0) ok 54 - divrem(1,0) ok 55 - tdivrem(1,0) ok 56 - tdivrem(1,0) ok 57 - large divint + + ok 58 - large modint + + ok 59 - large divrem + + ok 60 - large tdivrem + + ok 61 - large divint + - ok 62 - large modint + - ok 63 - large divrem + - ok 64 - large tdivrem + - ok 65 - large divint - + ok 66 - large modint - + ok 67 - large divrem - + ok 68 - large tdivrem - + ok 69 - large divint - - ok 70 - large modint - - ok 71 - large divrem - - ok 72 - large tdivrem - - ok 73 - absint(-9..9) ok 74 - negint(-9..9) ok t/26-ismisc.t ................ 1..28 ok 1 - Carmichael numbers to 20000 ok 2 - Large Carmichael ok 3 - Larger Carmichael ok 4 - is_fundamental(-50 .. 0) ok 5 - is_fundamental(0 .. 50) ok 6 - is_fundamental(2^67+9) ok 7 - is_fundamental(-2^67+44) ok 8 - is_totient 0 .. 40 ok 9 - is_fundamental(2^29_1 .. 2^29+80) ok 10 - is_totient(2^63+28) ok 11 - is_totient(2^63+20) ok 12 - is_totient(2^63+24) ok 13 - is_totient(2^83+88) ok 14 - is_totient(2^83+50) ok 15 - is_totient(2^83+64) ok 16 - is_totient(2^90) ok 17 - 29 is not a Gaussian Prime ok 18 - 31 is a Gaussian Prime ok 19 - 0-29i is not a Gaussian Prime ok 20 - 0-31i is a Gaussian Prime ok 21 - large +,+ Gaussian prime ok 22 - large -,+ Gaussian prime ok 23 - large +,+ Gaussian composite ok 24 - large +,- Gaussian composite ok 25 - first 10 triangular numbers ok 26 - first 10 23-gonal numbers ok 27 - 140737496743936 is the 16777216-th triangular number ok 28 - identified the 12345678901234567890-th pentagonal number ok t/26-lambertw.t .............. 1..19 ok 1 - LambertW(0) = 0 ok 2 - LambertW(0.1, 0.2, ..., 2.0) with 47 digits ok 3 - LambertW(567.88,200) ok 4 - LambertW(1e6,200) ok 5 - LambertW(-0.01, -0.02, ..., -0.36) with 60 digits ok 6 - LambertW(-1/e 3 dig) ok 7 - LambertW(-1/e 4 dig) ok 8 - LambertW(-1/e 5 dig) ok 9 - LambertW(-1/e 6 dig) ok 10 - LambertW(-1/e 7 dig) ok 11 - LambertW(-1/e 8 dig) ok 12 - LambertW(-1/e 9 dig) ok 13 - LambertW(-1/e 10 dig) ok 14 - LambertW(-1/e 11 dig) ok 15 - LambertW(-1/e 73 dig) ok 16 - LambertW(-1/e - 1e-15 dig) returns -1 without breaking ok 17 - LambertW(1e-20,40) ok 18 - LambertW(1e-20,420) ok 19 - LambertW(-1e-20,420) ok t/26-logs.t .................. 1..6 ok 1 - logint base 2: 0 .. 200 ok 2 - logint base 3: 0 .. 200 ok 3 - logint base 5: 0 .. 200 ok 4 - logint(60-bit,7) ok 5 - logint(126-bit,6) ok 6 - logint(2048-bit,3) ok t/26-mersenne.t .............. 1..1 ok 1 - Find Mersenne primes from 0 to 1279 ok t/26-mod.t ................... 1..35 ok 1 - invmod(0,0) = ok 2 - invmod(1,0) = ok 3 - invmod(0,1) = ok 4 - invmod(1,1) = 0 ok 5 - invmod(45,59) = 21 ok 6 - invmod(42,2017) = 1969 ok 7 - invmod(42,-2017) = 1969 ok 8 - invmod(-42,2017) = 48 ok 9 - invmod(-42,-2017) = 48 ok 10 - invmod(14,28474) = ok 11 - invmod(13,9223372036854775808) = 5675921253449092805 ok 12 - invmod(14,18446744073709551615) = 17129119497016012214 ok 13 - sqrtmod(0,0) = ok 14 - sqrtmod(1,0) = ok 15 - sqrtmod(0,1) = 0 ok 16 - sqrtmod(1,1) = 0 ok 17 - sqrtmod(58,101) = 19 ok 18 - sqrtmod(111,113) = 26 ok 19 - sqrtmod(9223372036854775808,5675921253449092823) = 22172359690642254 ok 20 - sqrtmod(18446744073709551625,340282366920938463463374607431768211507) = 57825146747270203522128844001742059051 ok 21 - addmod(..,0) ok 22 - mulmod(..,0) ok 23 - divmod(..,0) ok 24 - powmod(..,0) ok 25 - addmod(..,1) ok 26 - mulmod(..,1) ok 27 - powmod(..,1) ok 28 - addmod on 40 random inputs ok 29 - addmod with negative second input on 40 random inputs ok 30 - mulmod on 40 random inputs ok 31 - mulmod with negative second input on 40 random inputs ok 32 - divmod on 40 random inputs ok 33 - divmod with negative second input on 40 random inputs ok 34 - powmod on 20 random inputs ok 35 - powmod with negative exponent on 20 random inputs ok t/26-real.t .................. 1..36 ok 1 - log(0) ok 2 - log(0.1, 0.2, ..., 2.0) with 71 digits ok 3 - log(-0.1, -0.2, ..., -2.0) with 71 digits ok 4 - logreal(2,200) ok 5 - logreal(10^1000,200) ok 6 - logreal(5,71) ok 7 - logreal(10,71) ok 8 - logreal(21,71) ok 9 - expreal(1,71) ok 10 - expreal(12.5,71) ok 11 - expreal(100,71) ok 12 - expreal(100,12) ok 13 - expreal(-118.5,71) ok 14 - expreal(-394.84010945715266885,200) ok 15 - powreal(0,2.2,20) ok 16 - powreal(1,2.2,20) ok 17 - powreal(-1,2.2,20) ok 18 - powreal(2,-5.01,60) ok 19 - powreal(2,5,2) ok 20 - powreal(2,-5,5) ok 21 - powreal(1234.5678, 9.87654321, 60) ok 22 - rootreal(0,2,20) ok 23 - rootreal(1,2,20) ok 24 - rootreal(2,2,20) ok 25 - rootreal(2,3,20) ok 26 - rootreal(2,2,80) ok 27 - rootreal(100.19,17,80) ok 28 - AGM(1, sqrt(2)) = reciprocal of Gauss's constant ok 29 - AGM(1, 1/sqrt(2)) ok 30 - AGM(0.5, 1) ok 31 - AGM(6, 24) ok 32 - AGM with negative argument returns undef ok 33 - addreal ok 34 - subreal ok 35 - mulreal ok 36 - divreal ok t/26-riemann.t ............... 1..31 ok 1 - Zeta(2 .. 20) with 46 digits ok 2 - R(1234) = 201.089189397887171164417491080355409507577355431 ok 3 - R(12345) = 1477.18529486278566013620706299851975937829102453 ok 4 - R(1234567) = 95364.7282332640388293270946571187905178500286859 ok 5 - R(123456) = 11602.3885324491433573165310800667605102847042681 ok 6 - R(20) = 7.52719634941220484077584239013039997938974169722 ok 7 - R(123) = 30.2234556285623332613428945094834980032607831334 ok 8 - R(123456789) = 7027403.22117008872413898789377520747800808475988 ok 9 - R(12345678) = 809199.447325079489265130526492437800991704424795 ok 10 - R(10^50) ok 11 - R(10^150) ok 12 - Zeta(1) is undef ok 13 - Zeta(0) is -0.5 ok 14 - Zeta(-1) is -1/12 ok 15 - Zeta(-2) is 0 ok 16 - Zeta(-2) is 1/120 ok 17 - Zeta(-13) is -1/12 ok 18 - Zeta(-21) is -77683/276 ok 19 - zeta(14.8765) ok 20 - zeta(0.5) ok 21 - zeta(-0.5) ok 22 - zeta(-1.5) ok 23 - zeta(-5.5) ok 24 - riemannr(123456.78901) ok 25 - li(1.0000...2088..,15) rounds to -100 ok 26 - li(1.0000...2088..,25) ok 27 - li(123456789,71) ok 28 - li(13333....333,71) ok 29 - ei(-.999999) ok 30 - ei(-.0000001) ok 31 - ei(123) ok t/26-roots.t ................. 1..10 ok 1 - sqrtint 0-10 ok 2 - sqrtint 2-20 -1 ok 3 - sqrtint(13^51) ok 4 - rootint( (2^31-3)^23, 23) = 2^31-3 ok 5 - rootint( (2^31-3)^23-1, 23) = 2^31-3-1 ok 6 - rootint(10^1000,1001) = 9 ok 7 - rootint(2^240,9) = 106528681 ok 8 - roots of powers of 2 ok 9 - roots of powers of 2^32+1 ok 10 - roots of powers of 2^64+1 ok t/27-clusters.t .............. 1..41 ok 1 - A001359 0 200 ok 2 - A022004 317321 319727 ok 3 - A022005 557857 560293 ok 4 - Inadmissible pattern (0,2,4) finds (3,5,7) ok 5 - Inadmissible pattern (0,2,8,14,26) finds (3,5,11,17,29) and (5,7,13,19,31) ok 6 - Pattern [2] 1224 in range 0 .. 100000 ok 7 - Pattern [2 6] 259 in range 0 .. 100000 ok 8 - Pattern [4 6] 248 in range 0 .. 100000 ok 9 - Pattern [2 6 8] 38 in range 0 .. 100000 ok 10 - Pattern [2 6 8 12] 10 in range 0 .. 100000 ok 11 - Pattern [4 6 10 12] 11 in range 0 .. 100000 ok 12 - Pattern [4 6 10 12 16] 5 in range 0 .. 100000 ok 13 - Pattern [2 8 12 14 18 20] 2 in range 0 .. 100000 ok 14 - Pattern [2 6 8 12 18 20] 1 in range 0 .. 100000 ok 15 - Pattern [2] 52 in range 1000000000000000000000 .. 1000000000000000094869 ok 16 - Pattern [2 6] 5 in range 1000000000000000000000 .. 1000000000000000094869 ok 17 - Pattern [4 6] 3 in range 1000000000000000000000 .. 1000000000000000094869 ok 18 - Pattern [2 6 8] 1 in range 1000000000000000000000 .. 1000000000000000094869 ok 19 - Pattern [2 6 8 12] 0 in range 1000000000000000000000 .. 1000000000000000094869 ok 20 - Pattern [4 6 10 12] 0 in range 1000000000000000000000 .. 1000000000000000094869 ok 21 - Pattern [4 6 10 12 16] 0 in range 1000000000000000000000 .. 1000000000000000094869 ok 22 - Pattern [2 8 12 14 18 20] 0 in range 1000000000000000000000 .. 1000000000000000094869 ok 23 - Pattern [2 6 8 12 18 20] 0 in range 1000000000000000000000 .. 1000000000000000094869 ok 24 - Window around A022006 high cluster finds the cluster ok 25 - Window around A022007 high cluster finds the cluster ok 26 - Window around A022008 high cluster finds the cluster ok 27 - Window around A022009 high cluster finds the cluster ok 28 - Window around A022010 high cluster finds the cluster ok 29 - Window around A022010 high cluster finds the cluster ok 30 - Window around A022012 high cluster finds the cluster ok 31 - Window around A022013 high cluster finds the cluster ok 32 - Window around A022545 high cluster finds the cluster ok 33 - Window around A022546 high cluster finds the cluster ok 34 - Window around A022547 high cluster finds the cluster ok 35 - Window around A022548 high cluster finds the cluster ok 36 - Window around A027569 high cluster finds the cluster ok 37 - Window around A027570 high cluster finds the cluster ok 38 - Window around A213601 high cluster finds the cluster ok 39 - Window around A213645 high cluster finds the cluster ok 40 - Window around A213646 high cluster finds the cluster ok 41 - Window around A213647 high cluster finds the cluster ok t/28-rand.t .................. 1..6 ok 1 - irand values are 32-bit ok 2 - irand values are integers ok 3 - irand64 all bits on in 6 iterations ok 4 - irand64 all bits off in 6 iterations ok 5 - drand values between 0 and 1-eps ok 6 - drand supplies at least 21 bits (got 53) ok t/28-randomprime.t ........... 1..199 ok 1 - primes(2,1) should return undef ok 2 - primes(0,1) should return undef ok 3 - primes(3,2) should return undef ok 4 - primes(3842610774,3842611108) should return undef ok 5 - primes(1294268492,1294268778) should return undef ok 6 - primes(0,0) should return undef ok 7 - Prime in range 2-3 is indeed prime ok 8 - random_prime(2,3) >= 2 ok 9 - random_prime(2,3) <= 3 ok 10 - Prime in range 16706143-16706143 is indeed prime ok 11 - random_prime(16706143,16706143) >= 16706143 ok 12 - random_prime(16706143,16706143) <= 16706143 ok 13 - Prime in range 3842610772-3842611110 is indeed prime ok 14 - random_prime(3842610772,3842611110) >= 3842610773 ok 15 - random_prime(3842610772,3842611110) <= 3842611109 ok 16 - Prime in range 10-12 is indeed prime ok 17 - random_prime(10,12) >= 11 ok 18 - random_prime(10,12) <= 11 ok 19 - Prime in range 10-20 is indeed prime ok 20 - random_prime(10,20) >= 11 ok 21 - random_prime(10,20) <= 19 ok 22 - Prime in range 3-5 is indeed prime ok 23 - random_prime(3,5) >= 3 ok 24 - random_prime(3,5) <= 5 ok 25 - Prime in range 16706142-16706144 is indeed prime ok 26 - random_prime(16706142,16706144) >= 16706143 ok 27 - random_prime(16706142,16706144) <= 16706143 ok 28 - Prime in range 8-12 is indeed prime ok 29 - random_prime(8,12) >= 11 ok 30 - random_prime(8,12) <= 11 ok 31 - Prime in range 0-2 is indeed prime ok 32 - random_prime(0,2) >= 2 ok 33 - random_prime(0,2) <= 2 ok 34 - Prime in range 3842610773-3842611109 is indeed prime ok 35 - random_prime(3842610773,3842611109) >= 3842610773 ok 36 - random_prime(3842610773,3842611109) <= 3842611109 ok 37 - Prime in range 2-2 is indeed prime ok 38 - random_prime(2,2) >= 2 ok 39 - random_prime(2,2) <= 2 ok 40 - All returned values for 27767-88493 were prime ok 41 - All returned values for 27767-88493 were in the range ok 42 - All returned values for 17051688-17051898 were prime ok 43 - All returned values for 17051688-17051898 were in the range ok 44 - All returned values for 27767-88498 were prime ok 45 - All returned values for 27767-88498 were in the range ok 46 - All returned values for 2-20 were prime ok 47 - All returned values for 2-20 were in the range ok 48 - All returned values for 17051687-17051899 were prime ok 49 - All returned values for 17051687-17051899 were in the range ok 50 - All returned values for 3-7 were prime ok 51 - All returned values for 3-7 were in the range ok 52 - All returned values for 20-100 were prime ok 53 - All returned values for 20-100 were in the range ok 54 - All returned values for 27764-88493 were prime ok 55 - All returned values for 27764-88493 were in the range ok 56 - All returned values for 5678-9876 were prime ok 57 - All returned values for 5678-9876 were in the range ok 58 - All returned values for 27764-88498 were prime ok 59 - All returned values for 27764-88498 were in the range ok 60 - All returned values for 2 were prime ok 61 - All returned values for 2 were in the range ok 62 - All returned values for 3 were prime ok 63 - All returned values for 3 were in the range ok 64 - All returned values for 4 were prime ok 65 - All returned values for 4 were in the range ok 66 - All returned values for 5 were prime ok 67 - All returned values for 5 were in the range ok 68 - All returned values for 6 were prime ok 69 - All returned values for 6 were in the range ok 70 - All returned values for 7 were prime ok 71 - All returned values for 7 were in the range ok 72 - All returned values for 8 were prime ok 73 - All returned values for 8 were in the range ok 74 - All returned values for 9 were prime ok 75 - All returned values for 9 were in the range ok 76 - All returned values for 100 were prime ok 77 - All returned values for 100 were in the range ok 78 - All returned values for 1000 were prime ok 79 - All returned values for 1000 were in the range ok 80 - All returned values for 1000000 were prime ok 81 - All returned values for 1000000 were in the range ok 82 - All returned values for 4294967295 were prime ok 83 - All returned values for 4294967295 were in the range ok 84 - 1-digit random prime '5' is in range and prime ok 85 - 2-digit random prime '67' is in range and prime ok 86 - 3-digit random prime '647' is in range and prime ok 87 - 4-digit random prime '2339' is in range and prime ok 88 - 5-digit random prime '56599' is in range and prime ok 89 - 6-digit random prime '344251' is in range and prime ok 90 - 7-digit random prime '6056357' is in range and prime ok 91 - 8-digit random prime '51268531' is in range and prime ok 92 - 9-digit random prime '441783577' is in range and prime ok 93 - 10-digit random prime '9618358259' is in range and prime ok 94 - 11-digit random prime '45140703931' is in range and prime ok 95 - 12-digit random prime '214260657463' is in range and prime ok 96 - 13-digit random prime '6963115364441' is in range and prime ok 97 - 14-digit random prime '79140239859997' is in range and prime ok 98 - 15-digit random prime '184827305519821' is in range and prime ok 99 - 16-digit random prime '4888184389557251' is in range and prime ok 100 - 17-digit random prime '98505545270727379' is in range and prime ok 101 - 18-digit random prime '285768948065443691' is in range and prime ok 102 - 19-digit random prime '3654171654810755471' is in range and prime ok 103 - 20-digit random prime '79937869106902906117' is in range and prime ok 104 - 21-digit random prime '944511413392321989629' is in range and prime ok 105 - 22-digit random prime '1540427504238088249163' is in range and prime ok 106 - 23-digit random prime '30853135459363078295023' is in range and prime ok 107 - 24-digit random prime '543629965553369285819999' is in range and prime ok 108 - 25-digit random prime '5178935182106128441741609' is in range and prime ok 109 - 2-bit random random 2-bit prime '3' is in range and prime ok 110 - 3-bit random random 3-bit prime '7' is in range and prime ok 111 - 4-bit random random 4-bit prime '13' is in range and prime ok 112 - 5-bit random random 5-bit prime '23' is in range and prime ok 113 - 6-bit random random 6-bit prime '37' is in range and prime ok 114 - 10-bit random random 10-bit prime '691' is in range and prime ok 115 - 30-bit random random 30-bit prime '936010729' is in range and prime ok 116 - 31-bit random random 31-bit prime '1909157461' is in range and prime ok 117 - 32-bit random random 32-bit prime '3296640091' is in range and prime ok 118 - 33-bit random random 33-bit prime '4933448881' is in range and prime ok 119 - 34-bit random random 34-bit prime '13149688373' is in range and prime ok 120 - 62-bit random random 62-bit prime '3694087734206286167' is in range and prime ok 121 - 63-bit random random 63-bit prime '5822519310888651167' is in range and prime ok 122 - 64-bit random random 64-bit prime '10186754221020598867' is in range and prime ok 123 - 65-bit random random 65-bit prime '29603329401429186959' is in range and prime ok 124 - 66-bit random random 66-bit prime '38996483456132431903' is in range and prime ok 125 - 126-bit random random 126-bit prime '48014212109163434065680331679433575347' is in range and prime ok 126 - 127-bit random random 127-bit prime '131322267691801849151822345619697577059' is in range and prime ok 127 - 128-bit random random 128-bit prime '257769066674463297444344044591494106697' is in range and prime ok 128 - 129-bit random random 129-bit prime '550728400381732330349380984687721562833' is in range and prime ok 129 - 130-bit random random 130-bit prime '1307309912045522939306257478747531654177' is in range and prime ok 130 - 16-bit random random 16-bit safe (p) prime '46559' is in range and prime ok 131 - 15-bit random random 16-bit safe (q) prime '23279' is in range and prime ok 132 - 32-bit random random 32-bit safe (p) prime '4089265847' is in range and prime ok 133 - 31-bit random random 32-bit safe (q) prime '2044632923' is in range and prime ok 134 - 33-bit random random 33-bit safe (p) prime '7746109403' is in range and prime ok 135 - 32-bit random random 33-bit safe (q) prime '3873054701' is in range and prime ok 136 - 34-bit random random 34-bit safe (p) prime '15347575619' is in range and prime ok 137 - 33-bit random random 34-bit safe (q) prime '7673787809' is in range and prime ok 138 - 64-bit random random 64-bit safe (p) prime '17633866145839952363' is in range and prime ok 139 - 63-bit random random 64-bit safe (q) prime '8816933072919976181' is in range and prime ok 140 - 128-bit random random 128-bit safe (p) prime '236396350563516791148599644541893269083' is in range and prime ok 141 - 127-bit random random 128-bit safe (q) prime '118198175281758395574299822270946634541' is in range and prime ok 142 - 255-bit random random 255-bit safe (p) prime '41235267996263384938499761825959258779775787133546561232222317086101401680319' is in range and prime ok 143 - 254-bit random random 255-bit safe (q) prime '20617633998131692469249880912979629389887893566773280616111158543050700840159' is in range and prime ok 144 - 256-bit random random 256-bit safe (p) prime '78611651497710596338264728706342706678087971801457956851787021525701805092263' is in range and prime ok 145 - 255-bit random random 256-bit safe (q) prime '39305825748855298169132364353171353339043985900728978425893510762850902546131' is in range and prime ok 146 - 512-bit random random 512-bit safe (p) prime '8522099083112790987833869899416611890890540049254802693161388658540695249770465050575896912827724923222295776786747472819889918396413215865597802470890787' is in range and prime ok 147 - 511-bit random random 512-bit safe (q) prime '4261049541556395493916934949708305945445270024627401346580694329270347624885232525287948456413862461611147888393373736409944959198206607932798901235445393' is in range and prime ok 148 - 128-bit random random 128-bit strong prime '277446637245214189957932533402428714679' is in range and prime ok 149 - 255-bit random random 255-bit strong prime '55148172222653286091587419832573515331751710601764232125773346950657941948961' is in range and prime ok 150 - 256-bit random random 256-bit strong prime '67107545456395723222030768457344826045856593344268612525568521875631521777913' is in range and prime ok 151 - 512-bit random random 512-bit strong prime '8868232069881938134669512935993513603709689911282210281502749316685519795793392579279461546176880910497484745303955104442019096154717426296175988287884773' is in range and prime ok 152 - 2-bit random random 2-bit proven (Maurer) prime '3' is in range and prime ok 153 - 2-bit random random 2-bit proven (Shawe-Taylor) prime '2' is in range and prime ok 154 - 3-bit random random 3-bit proven (Maurer) prime '5' is in range and prime ok 155 - 3-bit random random 3-bit proven (Shawe-Taylor) prime '5' is in range and prime ok 156 - 4-bit random random 4-bit proven (Maurer) prime '11' is in range and prime ok 157 - 4-bit random random 4-bit proven (Shawe-Taylor) prime '11' is in range and prime ok 158 - 5-bit random random 5-bit proven (Maurer) prime '31' is in range and prime ok 159 - 5-bit random random 5-bit proven (Shawe-Taylor) prime '23' is in range and prime ok 160 - 6-bit random random 6-bit proven (Maurer) prime '53' is in range and prime ok 161 - 6-bit random random 6-bit proven (Shawe-Taylor) prime '47' is in range and prime ok 162 - 10-bit random random 10-bit proven (Maurer) prime '929' is in range and prime ok 163 - 10-bit random random 10-bit proven (Shawe-Taylor) prime '647' is in range and prime ok 164 - 30-bit random random 30-bit proven (Maurer) prime '887810849' is in range and prime ok 165 - 30-bit random random 30-bit proven (Shawe-Taylor) prime '690820331' is in range and prime ok 166 - 31-bit random random 31-bit proven (Maurer) prime '2073655531' is in range and prime ok 167 - 31-bit random random 31-bit proven (Shawe-Taylor) prime '1237562581' is in range and prime ok 168 - 32-bit random random 32-bit proven (Maurer) prime '3261048599' is in range and prime ok 169 - 32-bit random random 32-bit proven (Shawe-Taylor) prime '2289775703' is in range and prime ok 170 - 33-bit random random 33-bit proven (Maurer) prime '8172893009' is in range and prime ok 171 - 33-bit random random 33-bit proven (Shawe-Taylor) prime '8019015293' is in range and prime ok 172 - 34-bit random random 34-bit proven (Maurer) prime '10424094227' is in range and prime ok 173 - 34-bit random random 34-bit proven (Shawe-Taylor) prime '11469398747' is in range and prime ok 174 - 62-bit random random 62-bit proven (Maurer) prime '3910594496348632901' is in range and prime ok 175 - 62-bit random random 62-bit proven (Shawe-Taylor) prime '2954826061950097507' is in range and prime ok 176 - 63-bit random random 63-bit proven (Maurer) prime '5530692650041274411' is in range and prime ok 177 - 63-bit random random 63-bit proven (Shawe-Taylor) prime '8990047884274412077' is in range and prime ok 178 - 64-bit random random 64-bit proven (Maurer) prime '15369370542369084707' is in range and prime ok 179 - 64-bit random random 64-bit proven (Shawe-Taylor) prime '13960806433427605841' is in range and prime ok 180 - 65-bit random random 65-bit proven (Maurer) prime '27693726027536464277' is in range and prime ok 181 - 65-bit random random 65-bit proven (Shawe-Taylor) prime '30933335457278592869' is in range and prime ok 182 - 66-bit random random 66-bit proven (Maurer) prime '59459422111038346307' is in range and prime ok 183 - 66-bit random random 66-bit proven (Shawe-Taylor) prime '39922202360871865079' is in range and prime ok 184 - 126-bit random random 126-bit proven (Maurer) prime '53860236449853383264397922720741217621' is in range and prime ok 185 - 126-bit random random 126-bit proven (Shawe-Taylor) prime '49730308069869977975729805169395442483' is in range and prime ok 186 - 127-bit random random 127-bit proven (Maurer) prime '155993291895525398082256081189333869283' is in range and prime ok 187 - 127-bit random random 127-bit proven (Shawe-Taylor) prime '106132177139029388573685621656623588999' is in range and prime ok 188 - 128-bit random random 128-bit proven (Maurer) prime '214979101761589602414622981766137836259' is in range and prime ok 189 - 128-bit random random 128-bit proven (Shawe-Taylor) prime '293843058995871418680197196899076135023' is in range and prime ok 190 - 129-bit random random 129-bit proven (Maurer) prime '515490482963030967866959701677286332851' is in range and prime ok 191 - 129-bit random random 129-bit proven (Shawe-Taylor) prime '646702131150183475265480354724061833007' is in range and prime ok 192 - 130-bit random random 130-bit proven (Maurer) prime '682479559356677052049710707578281812353' is in range and prime ok 193 - 130-bit random random 130-bit proven (Shawe-Taylor) prime '712729623542808421899762417657714069199' is in range and prime ok 194 - random 20-bit prime with seeded rng ok 195 - random 9-digit with seeded rng ok 196 - random Maurer prime ok 197 - random Maurer prime certificate ok 198 - random Shawe-Taylor prime ok 199 - random Shawe-Taylor prime certificate ok t/28-urandom.t ............... 1..46 ok 1 - urandomb(0) values are in range ok 2 - urandomb(0) produces all values in range ok 3 - urandomb(1) values are in range ok 4 - urandomb(1) produces all values in range ok 5 - urandomb(2) values are in range ok 6 - urandomb(2) produces all values in range ok 7 - urandomb(3) values are in range ok 8 - urandomb(3) produces all values in range ok 9 - urandomb(4) values are in range ok 10 - urandomb(4) produces all values in range ok 11 - urandomb(5) values are in range ok 12 - urandomb(5) produces all values in range ok 13 - urandomb(8) values are in range ok 14 - urandomb(8) produces all values in range ok 15 - urandomb(20) values are in range ok 16 - urandomb(31) values are in range ok 17 - urandomb(32) values are in range ok 18 - urandomb(33) values are in range ok 19 - urandomb(40) values are in range ok 20 - Random 64-bit in range ok 21 - Random 128-bit in range ok 22 - Random 255-bit in range ok 23 - Random 256-bit in range ok 24 - Random 257-bit in range ok 25 - Random 512-bit in range ok 26 - Random 1024-bit in range ok 27 - Random 2048-bit in range ok 28 - Random 4096-bit in range ok 29 - Random 8192-bit in range ok 30 - Random 73100-bit in range ok 31 - urandomr(100,110) values are in range ok 32 - urandomr(128,255) values are in range ok 33 - urandomr(16777216,33554431) values are in range ok 34 - urandomr(1000000000000000000000000,9999999999999999999999999) values are in range ok 35 - urandomr(-10,x) ok 36 - urandomr(x,-10) ok 37 - urandomr(-1,-1) ok 38 - urandomr(x,x)=x ok 39 - urandomr(x,y)=undef if x > y ok 40 - urandomm(-1) ok 41 - urandomm(0)=0 ok 42 - urandomm(1)=0 ok 43 - urandomm(1234567) values are in range ok 44 - random_bytes(4) ok 45 - random_bytes(11) ok 46 - random_bytes(0) ok t/50-factoring.t ............. 1..164 ok 1 - factor(0) ok 2 - factor(1) ok 3 - factor(2) ok 4 - factor(3) ok 5 - factor(4) ok 6 - factor(5) ok 7 - factor(6) ok 8 - factor(7) ok 9 - factor(8) ok 10 - factor(16) ok 11 - factor(30) ok 12 - factor(57) ok 13 - factor(64) ok 14 - factor(210) ok 15 - factor(377) ok 16 - factor(403) ok 17 - factor(629) ok 18 - factor(779) ok 19 - factor(808) ok 20 - factor(989) ok 21 - factor(1363) ok 22 - factor(2310) ok 23 - factor(2727) ok 24 - factor(9592) ok 25 - factor(12625) ok 26 - factor(30030) ok 27 - factor(30107) ok 28 - factor(34643) ok 29 - factor(78498) ok 30 - factor(134431) ok 31 - factor(221897) ok 32 - factor(496213) ok 33 - factor(510510) ok 34 - factor(664579) ok 35 - factor(692759) ok 36 - factor(1228867) ok 37 - factor(2214143) ok 38 - factor(2463289) ok 39 - factor(3008891) ok 40 - factor(5115953) ok 41 - factor(5761455) ok 42 - factor(6961021) ok 43 - factor(8030207) ok 44 - factor(9699690) ok 45 - factor(10486123) ok 46 - factor(10893343) ok 47 - factor(12327779) ok 48 - factor(50847534) ok 49 - factor(114256942) ok 50 - factor(223092870) ok 51 - factor(455052511) ok 52 - factor(547308031) ok 53 - factor(701737021) ok 54 - factor(999999929) ok 55 - factor(2147483647) ok 56 - factor(4118054813) ok 57 - factor(4294967293) ok 58 - factor(6469693230) ok 59 - factor(17179869172) ok 60 - factor(37607912018) ok 61 - factor(200560490130) ok 62 - factor(346065536839) ok 63 - factor(600851475143) ok 64 - factor(3204941750802) ok 65 - factor(7420738134810) ok 66 - factor(29844570422669) ok 67 - factor(279238341033925) ok 68 - factor(304250263527210) ok 69 - factor(2623557157654233) ok 70 - factor(9007199254740991) ok 71 - factor(9007199254740992) ok 72 - factor(9007199254740993) ok 73 - factor(9999986200004761) ok 74 - factor(13082761331670030) ok 75 - factor(24739954287740860) ok 76 - factor(99999989237606677) ok 77 - factor(614889782588491410) ok 78 - factor(999999866000004473) ok 79 - factor(3369738766071892021) ok 80 - factor(10023859281455311421) ok 81 - factor(18446744073709551611) ok 82 - factor(1234567890123493^2) ok 83 - factor 7^7 ok 84 - p-1 factors 22095311209999409685885162322219 ok 85 - p+1 factors 22095311209999409685885162322219 ok 86 - ECM factors p8*p60 ok 87 - QS factors 22095311209999409685885162322219 ok 88 - HOLF factors poorly formed 222-digit semiprime ok 89 - p-1 factors 23113042053749572861737011 in stage 2 ok 90 - prho_factor(0) ok 91 - prho_factor(1) ok 92 - prho_factor(2) ok 93 - prho_factor(13) ok 94 - prho_factor(403) ok 95 - prho_factor(53936983) ok 96 - prho_factor(1754012594703269855671) ok 97 - pbrent_factor(0) ok 98 - pbrent_factor(1) ok 99 - pbrent_factor(2) ok 100 - pbrent_factor(13) ok 101 - pbrent_factor(403) ok 102 - pbrent_factor(53936983) ok 103 - pbrent_factor(1754012594703269855671) ok 104 - pminus1_factor(0) ok 105 - pminus1_factor(1) ok 106 - pminus1_factor(2) ok 107 - pminus1_factor(13) ok 108 - pminus1_factor(403) ok 109 - pminus1_factor(53936983) ok 110 - pminus1_factor(1754012594703269855671) ok 111 - pplus1_factor(0) ok 112 - pplus1_factor(1) ok 113 - pplus1_factor(2) ok 114 - pplus1_factor(13) ok 115 - pplus1_factor(403) ok 116 - pplus1_factor(53936983) ok 117 - pplus1_factor(1754012594703269855671) ok 118 - holf_factor(0) ok 119 - holf_factor(1) ok 120 - holf_factor(2) ok 121 - holf_factor(13) ok 122 - holf_factor(403) ok 123 - holf_factor(53936983) ok 124 - holf_factor(1754012594703269855671) ok 125 - squfof_factor(0) ok 126 - squfof_factor(1) ok 127 - squfof_factor(2) ok 128 - squfof_factor(13) ok 129 - squfof_factor(403) ok 130 - squfof_factor(53936983) ok 131 - squfof_factor(1754012594703269855671) ok 132 - ecm_factor(0) ok 133 - ecm_factor(1) ok 134 - ecm_factor(2) ok 135 - ecm_factor(13) ok 136 - ecm_factor(403) ok 137 - ecm_factor(53936983) ok 138 - ecm_factor(1754012594703269855671) ok 139 - scalar factor(0) should be 1 ok 140 - scalar factor(1) should be 1 ok 141 - scalar factor(3) should be 1 ok 142 - scalar factor(4) should be 2 ok 143 - scalar factor(5) should be 1 ok 144 - scalar factor(6) should be 2 ok 145 - scalar factor(30107) should be 4 ok 146 - scalar factor(174636000) should be 15 ok 147 - sigma_{0..3}(8) ok 148 - sigma_{0..3}(2394823486) ok 149 - sigma_{0..3}(6) ok 150 - sigma_{0..3}(46) ok 151 - sigma_{0..3}(3) ok 152 - sigma_{0..3}(189) ok 153 - sigma_{0..3}(4) ok 154 - sigma_{0..3}(5) ok 155 - sigma_{0..3}(1) ok 156 - sigma_{0..3}(7) ok 157 - sigma_{0..3}(23948) ok 158 - sigma_{0..3}(0) ok 159 - sigma_{0..3}(2) ok 160 - divisors(1) in list context ok 161 - divisors(9283540924) ok 162 - scalar divisors(9283540924) = 12 # p-1 trying 22095311209999409685885162322219 (B1=214748364805000000 B2=13741405743637069824) # p-1: 3916587618943361 ok 163 - is_semiprime for non-semiprimes ok 164 - is_semiprime for semiprimes ok t/90-release-perlcritic.t .... skipped: these tests are for release candidate testing t/91-release-pod-syntax.t .... skipped: these tests are for release candidate testing t/92-release-pod-coverage.t .. skipped: these tests are for release candidate testing t/93-release-spelling.t ...... skipped: these tests are for release candidate testing All tests successful. Files=37, Tests=3263, 21 wallclock secs ( 0.81 usr 0.16 sys + 18.75 cusr 1.17 csys = 20.89 CPU) Result: PASS make[1]: Leaving directory '/build/libmath-prime-util-gmp-perl-0.52' create-stamp debian/debhelper-build-stamp dh_prep dh_auto_install --destdir=debian/libmath-prime-util-gmp-perl/ make -j4 install DESTDIR=/build/libmath-prime-util-gmp-perl-0.52/debian/libmath-prime-util-gmp-perl AM_UPDATE_INFO_DIR=no PREFIX=/usr make[1]: Entering directory '/build/libmath-prime-util-gmp-perl-0.52' "/usr/bin/perl" -MExtUtils::Command::MM -e 'cp_nonempty' -- GMP.bs blib/arch/auto/Math/Prime/Util/GMP/GMP.bs 644 Manifying 1 pod document Files found in blib/arch: installing files in blib/lib into architecture dependent library tree Installing /build/libmath-prime-util-gmp-perl-0.52/debian/libmath-prime-util-gmp-perl/usr/lib/arm-linux-gnueabihf/perl5/5.36/auto/Math/Prime/Util/GMP/GMP.so Installing /build/libmath-prime-util-gmp-perl-0.52/debian/libmath-prime-util-gmp-perl/usr/lib/arm-linux-gnueabihf/perl5/5.36/Math/Prime/Util/GMP.pm Installing /build/libmath-prime-util-gmp-perl-0.52/debian/libmath-prime-util-gmp-perl/usr/share/man/man3/Math::Prime::Util::GMP.3pm make[1]: Leaving directory '/build/libmath-prime-util-gmp-perl-0.52' dh_installdocs dh_installchangelogs debian/rules override_dh_installexamples make[1]: Entering directory '/build/libmath-prime-util-gmp-perl-0.52' dh_installexamples find /build/libmath-prime-util-gmp-perl-0.52/debian/libmath-prime-util-gmp-perl/usr/share/doc/libmath-prime-util-gmp-perl/examples -type f -name "*.pl" -print0 | \ xargs -r0 sed -i -e '1s|^#!/usr/bin/env perl|#!/usr/bin/perl|' make[1]: Leaving directory '/build/libmath-prime-util-gmp-perl-0.52' dh_installman dh_perl dh_link dh_strip_nondeterminism dh_compress dh_fixperms dh_missing dh_dwz -a dh_strip -a dh_makeshlibs -a dh_shlibdeps -a dh_installdeb dh_gencontrol dh_md5sums dh_builddeb dpkg-deb: building package 'libmath-prime-util-gmp-perl-dbgsym' in '../libmath-prime-util-gmp-perl-dbgsym_0.52-2_armhf.deb'. dpkg-deb: building package 'libmath-prime-util-gmp-perl' in '../libmath-prime-util-gmp-perl_0.52-2_armhf.deb'. dpkg-genbuildinfo --build=binary -O../libmath-prime-util-gmp-perl_0.52-2_armhf.buildinfo dpkg-genchanges --build=binary -O../libmath-prime-util-gmp-perl_0.52-2_armhf.changes dpkg-genchanges: info: binary-only upload (no source code included) dpkg-source --after-build . dpkg-buildpackage: info: binary-only upload (no source included) dpkg-genchanges: info: not including original source code in upload I: copying local configuration I: user script /srv/workspace/pbuilder/15577/tmp/hooks/B01_cleanup starting I: user script /srv/workspace/pbuilder/15577/tmp/hooks/B01_cleanup finished I: unmounting dev/ptmx filesystem I: unmounting dev/pts filesystem I: unmounting dev/shm filesystem I: unmounting proc filesystem I: unmounting sys filesystem I: cleaning the build env I: removing directory /srv/workspace/pbuilder/15577 and its subdirectories I: Current time: Thu Jun 1 13:43:21 +14 2023 I: pbuilder-time-stamp: 1685576601