I: pbuilder: network access will be disabled during build I: Current time: Wed Jul 22 14:17:16 +14 2020 I: pbuilder-time-stamp: 1595377036 I: Building the build Environment I: extracting base tarball [/var/cache/pbuilder/buster-reproducible-base.tgz] I: copying local configuration 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: using eatmydata during job I: Copying source file I: copying [libmath-prime-util-gmp-perl_0.51-1.dsc] I: copying [./libmath-prime-util-gmp-perl_0.51.orig.tar.gz] I: copying [./libmath-prime-util-gmp-perl_0.51-1.debian.tar.xz] I: Extracting source gpgv: unknown type of key resource 'trustedkeys.kbx' gpgv: keyblock resource '/root/.gnupg/trustedkeys.kbx': General error gpgv: Signature made Mon Sep 10 12:57:46 2018 +14 gpgv: using RSA key D1E1316E93A760A8104D85FABB3A68018649AA06 gpgv: Can't check signature: No public key dpkg-source: warning: failed to verify signature on ./libmath-prime-util-gmp-perl_0.51-1.dsc dpkg-source: info: extracting libmath-prime-util-gmp-perl in libmath-prime-util-gmp-perl-0.51 dpkg-source: info: unpacking libmath-prime-util-gmp-perl_0.51.orig.tar.gz dpkg-source: info: unpacking libmath-prime-util-gmp-perl_0.51-1.debian.tar.xz I: using fakeroot in build. I: Installing the build-deps I: user script /srv/workspace/pbuilder/4067/tmp/hooks/D01_modify_environment starting disorder-fs debug: Running on profitbricks-build16-i386. 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 Removing 'diversion of /bin/sh to /bin/sh.distrib by dash' Adding 'diversion of /bin/sh to /bin/sh.distrib by bash' Removing 'diversion of /usr/share/man/man1/sh.1.gz to /usr/share/man/man1/sh.distrib.1.gz by dash' Adding 'diversion of /usr/share/man/man1/sh.1.gz to /usr/share/man/man1/sh.distrib.1.gz by 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/4067/tmp/hooks/D01_modify_environment finished -> Attempting to satisfy build-dependencies -> Creating pbuilder-satisfydepends-dummy package Package: pbuilder-satisfydepends-dummy Version: 0.invalid.0 Architecture: i386 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 (>= 10), libgmp-dev, perl dpkg-deb: building package 'pbuilder-satisfydepends-dummy' in '/tmp/satisfydepends-aptitude/pbuilder-satisfydepends-dummy.deb'. Selecting previously unselected package pbuilder-satisfydepends-dummy. (Reading database ... 19231 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 (>= 10); however: Package debhelper is not installed. pbuilder-satisfydepends-dummy depends on libgmp-dev; however: Package libgmp-dev is not installed. 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} bsdmainutils{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} libbsd0{a} libcroco3{a} libelf1{a} libfile-stripnondeterminism-perl{a} libglib2.0-0{a} libgmp-dev{a} libgmpxx4ldbl{a} libicu63{a} libmagic-mgc{a} libmagic1{a} libncurses6{a} libpipeline1{a} libsigsegv2{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 libglib2.0-data libgpm2 libltdl-dev libmail-sendmail-perl lynx shared-mime-info wget xdg-user-dirs 0 packages upgraded, 35 newly installed, 0 to remove and 0 not upgraded. Need to get 20.0 MB of archives. After unpacking 72.2 MB will be used. Writing extended state information... Get: 1 http://cdn-fastly.deb.debian.org/debian buster/main i386 libbsd0 i386 0.9.1-2 [104 kB] Get: 2 http://cdn-fastly.deb.debian.org/debian buster/main i386 bsdmainutils i386 11.1.2+b1 [193 kB] Get: 3 http://cdn-fastly.deb.debian.org/debian buster/main i386 libuchardet0 i386 0.0.6-3 [65.2 kB] Get: 4 http://cdn-fastly.deb.debian.org/debian buster/main i386 groff-base i386 1.22.4-3 [935 kB] Get: 5 http://cdn-fastly.deb.debian.org/debian buster/main i386 libpipeline1 i386 1.5.1-2 [33.3 kB] Get: 6 http://cdn-fastly.deb.debian.org/debian buster/main i386 man-db i386 2.8.5-2 [1284 kB] Get: 7 http://cdn-fastly.deb.debian.org/debian buster/main i386 sensible-utils all 0.0.12 [15.8 kB] Get: 8 http://cdn-fastly.deb.debian.org/debian buster/main i386 libmagic-mgc i386 1:5.35-4 [242 kB] Get: 9 http://cdn-fastly.deb.debian.org/debian buster/main i386 libmagic1 i386 1:5.35-4 [124 kB] Get: 10 http://cdn-fastly.deb.debian.org/debian buster/main i386 file i386 1:5.35-4 [66.3 kB] Get: 11 http://cdn-fastly.deb.debian.org/debian buster/main i386 gettext-base i386 0.19.8.1-9 [124 kB] Get: 12 http://cdn-fastly.deb.debian.org/debian buster/main i386 libsigsegv2 i386 2.12-2 [33.2 kB] Get: 13 http://cdn-fastly.deb.debian.org/debian buster/main i386 m4 i386 1.4.18-2 [205 kB] Get: 14 http://cdn-fastly.deb.debian.org/debian buster/main i386 autoconf all 2.69-11 [341 kB] Get: 15 http://cdn-fastly.deb.debian.org/debian buster/main i386 autotools-dev all 20180224.1 [77.0 kB] Get: 16 http://cdn-fastly.deb.debian.org/debian buster/main i386 automake all 1:1.16.1-4 [771 kB] Get: 17 http://cdn-fastly.deb.debian.org/debian buster/main i386 autopoint all 0.19.8.1-9 [434 kB] Get: 18 http://cdn-fastly.deb.debian.org/debian buster/main i386 libtool all 2.4.6-9 [547 kB] Get: 19 http://cdn-fastly.deb.debian.org/debian buster/main i386 dh-autoreconf all 19 [16.9 kB] Get: 20 http://cdn-fastly.deb.debian.org/debian buster/main i386 libarchive-zip-perl all 1.64-1 [96.8 kB] Get: 21 http://cdn-fastly.deb.debian.org/debian buster/main i386 libfile-stripnondeterminism-perl all 1.1.2-1 [19.8 kB] Get: 22 http://cdn-fastly.deb.debian.org/debian buster/main i386 dh-strip-nondeterminism all 1.1.2-1 [13.0 kB] Get: 23 http://cdn-fastly.deb.debian.org/debian buster/main i386 libelf1 i386 0.176-1.1 [166 kB] Get: 24 http://cdn-fastly.deb.debian.org/debian buster/main i386 dwz i386 0.12-3 [81.4 kB] Get: 25 http://cdn-fastly.deb.debian.org/debian buster/main i386 libglib2.0-0 i386 2.58.3-2 [1333 kB] Get: 26 http://cdn-fastly.deb.debian.org/debian buster/main i386 libicu63 i386 63.1-6 [8443 kB] Get: 27 http://cdn-fastly.deb.debian.org/debian buster/main i386 libxml2 i386 2.9.4+dfsg1-7+b3 [721 kB] Get: 28 http://cdn-fastly.deb.debian.org/debian buster/main i386 libcroco3 i386 0.6.12-3 [151 kB] Get: 29 http://cdn-fastly.deb.debian.org/debian buster/main i386 libncurses6 i386 6.1+20181013-2 [109 kB] Get: 30 http://cdn-fastly.deb.debian.org/debian buster/main i386 gettext i386 0.19.8.1-9 [1314 kB] Get: 31 http://cdn-fastly.deb.debian.org/debian buster/main i386 intltool-debian all 0.35.0+20060710.5 [26.8 kB] Get: 32 http://cdn-fastly.deb.debian.org/debian buster/main i386 po-debconf all 1.0.21 [248 kB] Get: 33 http://cdn-fastly.deb.debian.org/debian buster/main i386 debhelper all 12.1.1 [1016 kB] Get: 34 http://cdn-fastly.deb.debian.org/debian buster/main i386 libgmpxx4ldbl i386 2:6.1.2+dfsg-4 [23.2 kB] Get: 35 http://cdn-fastly.deb.debian.org/debian buster/main i386 libgmp-dev i386 2:6.1.2+dfsg-4 [648 kB] Fetched 20.0 MB in 1s (27.0 MB/s) debconf: delaying package configuration, since apt-utils is not installed Selecting previously unselected package libbsd0:i386. (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 ... 19231 files and directories currently installed.) Preparing to unpack .../00-libbsd0_0.9.1-2_i386.deb ... Unpacking libbsd0:i386 (0.9.1-2) ... Selecting previously unselected package bsdmainutils. Preparing to unpack .../01-bsdmainutils_11.1.2+b1_i386.deb ... Unpacking bsdmainutils (11.1.2+b1) ... Selecting previously unselected package libuchardet0:i386. Preparing to unpack .../02-libuchardet0_0.0.6-3_i386.deb ... Unpacking libuchardet0:i386 (0.0.6-3) ... Selecting previously unselected package groff-base. Preparing to unpack .../03-groff-base_1.22.4-3_i386.deb ... Unpacking groff-base (1.22.4-3) ... Selecting previously unselected package libpipeline1:i386. Preparing to unpack .../04-libpipeline1_1.5.1-2_i386.deb ... Unpacking libpipeline1:i386 (1.5.1-2) ... Selecting previously unselected package man-db. Preparing to unpack .../05-man-db_2.8.5-2_i386.deb ... Unpacking man-db (2.8.5-2) ... Selecting previously unselected package sensible-utils. Preparing to unpack .../06-sensible-utils_0.0.12_all.deb ... Unpacking sensible-utils (0.0.12) ... Selecting previously unselected package libmagic-mgc. Preparing to unpack .../07-libmagic-mgc_1%3a5.35-4_i386.deb ... Unpacking libmagic-mgc (1:5.35-4) ... Selecting previously unselected package libmagic1:i386. Preparing to unpack .../08-libmagic1_1%3a5.35-4_i386.deb ... Unpacking libmagic1:i386 (1:5.35-4) ... Selecting previously unselected package file. 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Preparing to unpack .../34-libgmp-dev_2%3a6.1.2+dfsg-4_i386.deb ... Unpacking libgmp-dev:i386 (2:6.1.2+dfsg-4) ... Setting up libpipeline1:i386 (1.5.1-2) ... Setting up libmagic-mgc (1:5.35-4) ... Setting up libarchive-zip-perl (1.64-1) ... Setting up libglib2.0-0:i386 (2.58.3-2) ... No schema files found: doing nothing. Setting up libmagic1:i386 (1:5.35-4) ... Setting up gettext-base (0.19.8.1-9) ... Setting up file (1:5.35-4) ... Setting up libicu63:i386 (63.1-6) ... Setting up autotools-dev (20180224.1) ... Setting up libgmpxx4ldbl:i386 (2:6.1.2+dfsg-4) ... Setting up libncurses6:i386 (6.1+20181013-2) ... Setting up libsigsegv2:i386 (2.12-2) ... Setting up autopoint (0.19.8.1-9) ... Setting up sensible-utils (0.0.12) ... Setting up libuchardet0:i386 (0.0.6-3) ... Setting up libbsd0:i386 (0.9.1-2) ... Setting up libelf1:i386 (0.176-1.1) ... Setting up libxml2:i386 (2.9.4+dfsg1-7+b3) ... Setting up libfile-stripnondeterminism-perl (1.1.2-1) ... Setting up libgmp-dev:i386 (2:6.1.2+dfsg-4) ... Setting up libtool (2.4.6-9) ... Setting up m4 (1.4.18-2) ... Setting up bsdmainutils (11.1.2+b1) ... update-alternatives: using /usr/bin/bsd-write to provide /usr/bin/write (write) in auto mode update-alternatives: using /usr/bin/bsd-from to provide /usr/bin/from (from) in auto mode Setting up libcroco3:i386 (0.6.12-3) ... Setting up autoconf (2.69-11) ... Setting up dwz (0.12-3) ... Setting up groff-base (1.22.4-3) ... Setting up automake (1:1.16.1-4) ... update-alternatives: using /usr/bin/automake-1.16 to provide /usr/bin/automake (automake) in auto mode Setting up gettext (0.19.8.1-9) ... Setting up man-db (2.8.5-2) ... Not building database; man-db/auto-update is not 'true'. Setting up intltool-debian (0.35.0+20060710.5) ... Setting up po-debconf (1.0.21) ... Setting up debhelper (12.1.1) ... Setting up dh-autoreconf (19) ... Setting up dh-strip-nondeterminism (1.1.2-1) ... Processing triggers for libc-bin (2.28-10) ... 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... fakeroot is already the newest version (1.23-1). The following additional packages will be installed: libfile-find-rule-perl libnumber-compare-perl libtext-glob-perl The following NEW packages will be installed: libfile-find-rule-perl libnumber-compare-perl libtext-glob-perl usrmerge 0 upgraded, 4 newly installed, 0 to remove and 0 not upgraded. Need to get 59.5 kB of archives. After this operation, 182 kB of additional disk space will be used. Get:1 http://cdn-fastly.deb.debian.org/debian buster/main i386 libnumber-compare-perl all 0.03-1 [7642 B] Get:2 http://cdn-fastly.deb.debian.org/debian buster/main i386 libtext-glob-perl all 0.10-1 [8362 B] Get:3 http://cdn-fastly.deb.debian.org/debian buster/main i386 libfile-find-rule-perl all 0.34-1 [30.6 kB] Get:4 http://cdn-fastly.deb.debian.org/debian buster/main i386 usrmerge all 21 [12.8 kB] debconf: delaying package configuration, since apt-utils is not installed Fetched 59.5 kB in 0s (570 kB/s) Selecting previously unselected package libnumber-compare-perl. (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 ... 21294 files and directories currently installed.) Preparing to unpack .../libnumber-compare-perl_0.03-1_all.deb ... Unpacking libnumber-compare-perl (0.03-1) ... Selecting previously unselected package libtext-glob-perl. Preparing to unpack .../libtext-glob-perl_0.10-1_all.deb ... Unpacking libtext-glob-perl (0.10-1) ... Selecting previously unselected package libfile-find-rule-perl. Preparing to unpack .../libfile-find-rule-perl_0.34-1_all.deb ... Unpacking libfile-find-rule-perl (0.34-1) ... Selecting previously unselected package usrmerge. Preparing to unpack .../archives/usrmerge_21_all.deb ... Unpacking usrmerge (21) ... Setting up libtext-glob-perl (0.10-1) ... Setting up libnumber-compare-perl (0.03-1) ... Setting up libfile-find-rule-perl (0.34-1) ... Setting up usrmerge (21) ... The system has been successfully converted. Processing triggers for man-db (2.8.5-2) ... Not building database; man-db/auto-update is not 'true'. I: Building the package I: Running cd /build/libmath-prime-util-gmp-perl-0.51/ && env PATH="/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/i/capture/the/path" HOME="/nonexistent/second-build" dpkg-buildpackage -us -uc -b dpkg-buildpackage: info: source package libmath-prime-util-gmp-perl dpkg-buildpackage: info: source version 0.51-1 dpkg-buildpackage: info: source distribution unstable dpkg-buildpackage: info: source changed by gregor herrmann dpkg-source --before-build . dpkg-buildpackage: info: host architecture i386 fakeroot debian/rules clean dh clean dh_clean debian/rules build dh build dh_update_autotools_config dh_autoreconf dh_auto_configure perl -I. Makefile.PL INSTALLDIRS=vendor "OPTIMIZE=-g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2" "LD=i686-linux-gnu-gcc -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wl,-z,relro -Wl,-z,now" Checking if your kit is complete... Looks good Generating a Unix-style Makefile Writing Makefile for Math::Prime::Util::GMP Writing MYMETA.yml and MYMETA.json dh_auto_build make -j18 make[1]: Entering directory '/build/libmath-prime-util-gmp-perl-0.51' Running Mkbootstrap for GMP () i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" prime_iterator.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" utility.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" primality.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" factor.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" pbrent63.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" squfof126.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" ecm.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" tinyqs.c chmod 644 "GMP.bs" i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" simpqs.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" bls75.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" ecpp.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" aks.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" gmp_main.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" real.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" isaac.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" random_prime.c "/usr/bin/perl" "/usr/share/perl/5.28/ExtUtils/xsubpp" -typemap '/usr/share/perl/5.28/ExtUtils/typemap' XS.xs > XS.xsc cp lib/Math/Prime/Util/GMP.pm blib/lib/Math/Prime/Util/GMP.pm "/usr/bin/perl" -MExtUtils::Command::MM -e 'cp_nonempty' -- GMP.bs blib/arch/auto/Math/Prime/Util/GMP/GMP.bs 644 mv XS.xsc XS.c i686-linux-gnu-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-0.51=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -DVERSION=\"0.51\" -DXS_VERSION=\"0.51\" -fPIC "-I/usr/lib/i386-linux-gnu/perl/5.28/CORE" XS.c rm -f blib/arch/auto/Math/Prime/Util/GMP/GMP.so i686-linux-gnu-gcc -g -O2 -ffile-prefix-map=/build/libmath-prime-util-gmp-perl-0.51=. -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-0.51' dh_auto_test make -j18 test TEST_VERBOSE=1 make[1]: Entering directory '/build/libmath-prime-util-gmp-perl-0.51' "/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(5) should return [2 3 5] ok 14 - primes(4) should return [2 3] ok 15 - primes(18) should return [2 3 5 7 11 13 17] ok 16 - primes(6) should return [2 3 5] ok 17 - primes(11) should return [2 3 5 7 11] ok 18 - primes(1) should return [] ok 19 - primes(20) should return [2 3 5 7 11 13 17 19] ok 20 - primes(3) should return [2 3] ok 21 - primes(19) should return [2 3 5 7 11 13 17 19] ok 22 - primes(7) should return [2 3 5 7] ok 23 - primes(2) should return [2] ok 24 - primes(0) should return [] ok 25 - primes(3,6) should return [3 5] ok 26 - primes(3088,3164) should return [3089 3109 3119 3121 3137 3163] ok 27 - primes(3,7) should return [3 5 7] ok 28 - primes(3,9) should return [3 5 7] ok 29 - primes(4,8) should return [5 7] ok 30 - primes(20,2) should return [] ok 31 - primes(2,2) should return [2] ok 32 - primes(3842610773,3842611109) should return [3842610773 3842611109] ok 33 - primes(2,3) should return [2 3] ok 34 - primes(3842610774,3842611108) should return [] ok 35 - primes(3,3) should return [3] ok 36 - primes(2,5) should return [2 3 5] ok 37 - primes(2010733,2010881) should return [2010733 2010881] ok 38 - primes(2,20) should return [2 3 5 7 11 13 17 19] ok 39 - primes(3090,3162) should return [3109 3119 3121 3137] ok 40 - primes(3089,3163) should return [3089 3109 3119 3121 3137 3163] ok 41 - primes(30,70) should return [31 37 41 43 47 53 59 61 67] ok 42 - primes(2010734,2010880) should return [] ok 43 - primes(70,30) should return [] 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..27 ok 1 - prev_prime 0..3572 ok 2 - next_prime 0..3572 ok 3 - next prime of 360653 is 360653+96 ok 4 - prev prime of 360653+96 is 360653 ok 5 - next prime of 2010733 is 2010733+148 ok 6 - prev prime of 2010733+148 is 2010733 ok 7 - next prime of 19609 is 19609+52 ok 8 - prev prime of 19609+52 is 19609 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 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(1000) = 168 ok 6 - Pi(10000) = 1229 ok 7 - Pi(100) = 25 ok 8 - Pi(1) = 0 ok 9 - Pi(10) = 4 ok 10 - Pi(65535) = 6542 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(2^42) <= 156661034233 ok 69 - prime_count_upper(2^42) >= 156661034233 ok 70 - prime_count_lower(2^67) <= 3249254387052557215 ok 71 - prime_count_upper(2^67) >= 3249254387052557215 ok 72 - prime_count_lower(2^17) <= 12251 ok 73 - prime_count_upper(2^17) >= 12251 ok 74 - prime_count_lower(2^9) <= 97 ok 75 - prime_count_upper(2^9) >= 97 ok 76 - prime_count_lower(2^33) <= 393615806 ok 77 - prime_count_upper(2^33) >= 393615806 ok 78 - prime_count_lower(2^75) <= 741263521140740113483 ok 79 - prime_count_upper(2^75) >= 741263521140740113483 ok 80 - prime_count_lower(2^59) <= 14458792895301660 ok 81 - prime_count_upper(2^59) >= 14458792895301660 ok 82 - prime_count_lower(2^24) <= 1077871 ok 83 - prime_count_upper(2^24) >= 1077871 ok 84 - prime_count_lower(2^41) <= 80316571436 ok 85 - prime_count_upper(2^41) >= 80316571436 ok 86 - prime_count_lower(2^55) <= 971269945245201 ok 87 - prime_count_upper(2^55) >= 971269945245201 ok 88 - prime_count_lower(2^79) <= 11248065615133675809379 ok 89 - prime_count_upper(2^79) >= 11248065615133675809379 ok 90 - prime_count_lower(2^26) <= 3957809 ok 91 - prime_count_upper(2^26) >= 3957809 ok 92 - prime_count_lower(2^5) <= 11 ok 93 - prime_count_upper(2^5) >= 11 ok 94 - prime_count_lower(2^36) <= 2874398515 ok 95 - prime_count_upper(2^36) >= 2874398515 ok 96 - prime_count_lower(2^40) <= 41203088796 ok 97 - prime_count_upper(2^40) >= 41203088796 ok 98 - prime_count_lower(2^23) <= 564163 ok 99 - prime_count_upper(2^23) >= 564163 ok 100 - prime_count_lower(2^7) <= 31 ok 101 - prime_count_upper(2^7) >= 31 ok 102 - prime_count_lower(2^34) <= 762939111 ok 103 - prime_count_upper(2^34) >= 762939111 ok 104 - prime_count_lower(2^48) <= 8731188863470 ok 105 - prime_count_upper(2^48) >= 8731188863470 ok 106 - prime_count_lower(2^43) <= 305761713237 ok 107 - prime_count_upper(2^43) >= 305761713237 ok 108 - prime_count_lower(2^32) <= 203280221 ok 109 - prime_count_upper(2^32) >= 203280221 ok 110 - prime_count_lower(2^28) <= 14630843 ok 111 - prime_count_upper(2^28) >= 14630843 ok 112 - prime_count_lower(2^31) <= 105097565 ok 113 - prime_count_upper(2^31) >= 105097565 ok 114 - prime_count_lower(2^8) <= 54 ok 115 - prime_count_upper(2^8) >= 54 ok 116 - prime_count_lower(2^20) <= 82025 ok 117 - prime_count_upper(2^20) >= 82025 ok 118 - prime_count_lower(2^6) <= 18 ok 119 - prime_count_upper(2^6) >= 18 ok 120 - prime_count_lower(2^1) <= 1 ok 121 - prime_count_upper(2^1) >= 1 ok 122 - prime_count_lower(2^85) <= 668150111666935905701562 ok 123 - prime_count_upper(2^85) >= 668150111666935905701562 ok 124 - prime_count_lower(2^15) <= 3512 ok 125 - prime_count_upper(2^15) >= 3512 ok 126 - prime_count_lower(2^21) <= 155611 ok 127 - prime_count_upper(2^21) >= 155611 ok 128 - prime_count_lower(2^65) <= 837903145466607212 ok 129 - prime_count_upper(2^65) >= 837903145466607212 ok 130 - prime_count_lower(2^30) <= 54400028 ok 131 - prime_count_upper(2^30) >= 54400028 ok 132 - prime_count_lower(2^77) <= 2886507381056867953916 ok 133 - prime_count_upper(2^77) >= 2886507381056867953916 ok 134 - prime_count_lower(2^46) <= 2280998753949 ok 135 - prime_count_upper(2^46) >= 2280998753949 ok 136 - prime_count_lower(2^22) <= 295947 ok 137 - prime_count_upper(2^22) >= 295947 ok 138 - prime_count_lower(2^69) <= 12611864618760352880 ok 139 - prime_count_upper(2^69) >= 12611864618760352880 ok 140 - prime_count_lower(2^19) <= 43390 ok 141 - prime_count_upper(2^19) >= 43390 ok 142 - prime_count_lower(2^38) <= 10866266172 ok 143 - prime_count_upper(2^38) >= 10866266172 ok 144 - prime_count_lower(2^57) <= 3745011184713964 ok 145 - prime_count_upper(2^57) >= 3745011184713964 ok 146 - prime_count_lower(2^44) <= 597116381732 ok 147 - prime_count_upper(2^44) >= 597116381732 ok 148 - prime_count_lower(2^25) <= 2063689 ok 149 - prime_count_upper(2^25) >= 2063689 ok 150 - prime_count_lower(2^11) <= 309 ok 151 - prime_count_upper(2^11) >= 309 ok 152 - prime_count_lower(2^61) <= 55890484045084135 ok 153 - prime_count_upper(2^61) >= 55890484045084135 ok 154 - prime_count_lower(2^56) <= 1906879381028850 ok 155 - prime_count_upper(2^56) >= 1906879381028850 ok 156 - prime_count_lower(2^81) <= 43860397052947409356492 ok 157 - prime_count_upper(2^81) >= 43860397052947409356492 ok 158 - prime_count_lower(2^74) <= 375744164937699609596 ok 159 - prime_count_upper(2^74) >= 375744164937699609596 ok 160 - prime_count_lower(2^3) <= 4 ok 161 - prime_count_upper(2^3) >= 4 ok 162 - prime_count_lower(2^82) <= 86631124695994360074872 ok 163 - prime_count_upper(2^82) >= 86631124695994360074872 ok 164 - prime_count_lower(2^76) <= 1462626667154509638735 ok 165 - prime_count_upper(2^76) >= 1462626667154509638735 ok 166 - prime_count_lower(2^12) <= 564 ok 167 - prime_count_upper(2^12) >= 564 ok 168 - prime_count_lower(2^62) <= 109932807585469973 ok 169 - prime_count_upper(2^62) >= 109932807585469973 ok 170 - prime_count_lower(2^54) <= 494890204904784 ok 171 - prime_count_upper(2^54) >= 494890204904784 ok 172 - prime_count_lower(2^47) <= 4461632979717 ok 173 - prime_count_upper(2^47) >= 4461632979717 ok 174 - prime_count_lower(2^29) <= 28192750 ok 175 - prime_count_upper(2^29) >= 28192750 ok 176 - prime_count_lower(2^39) <= 21151907950 ok 177 - prime_count_upper(2^39) >= 21151907950 ok 178 - prime_count_lower(2^18) <= 23000 ok 179 - prime_count_upper(2^18) >= 23000 ok 180 - prime_count_lower(2^53) <= 252252704148404 ok 181 - prime_count_upper(2^53) >= 252252704148404 ok 182 - prime_count_lower(2^68) <= 6400771597544937806 ok 183 - prime_count_upper(2^68) >= 6400771597544937806 ok 184 - prime_count_lower(2^35) <= 1480206279 ok 185 - prime_count_upper(2^35) >= 1480206279 ok 186 - prime_count_lower(2^10) <= 172 ok 187 - prime_count_upper(2^10) >= 172 ok 188 - prime_count_lower(2^2) <= 2 ok 189 - prime_count_upper(2^2) >= 2 ok 190 - prime_count_lower(2^73) <= 190499823401327905601 ok 191 - prime_count_upper(2^73) >= 190499823401327905601 ok 192 - prime_count_lower(2^60) <= 28423094496953330 ok 193 - prime_count_upper(2^60) >= 28423094496953330 ok 194 - prime_count_lower(2^80) <= 22209558889635384205844 ok 195 - prime_count_upper(2^80) >= 22209558889635384205844 ok 196 - prime_count_lower(2^78) <= 5697549648954257752872 ok 197 - prime_count_upper(2^78) >= 5697549648954257752872 ok 198 - prime_count_lower(2^50) <= 33483379603407 ok 199 - prime_count_upper(2^50) >= 33483379603407 ok 200 - prime_count_lower(2^4) <= 6 ok 201 - prime_count_upper(2^4) >= 6 ok 202 - prime_count_lower(2^37) <= 5586502348 ok 203 - prime_count_upper(2^37) >= 5586502348 ok 204 - prime_count_lower(2^83) <= 171136408646923240987028 ok 205 - prime_count_upper(2^83) >= 171136408646923240987028 ok 206 - prime_count_lower(2^13) <= 1028 ok 207 - prime_count_upper(2^13) >= 1028 ok 208 - prime_count_lower(2^70) <= 24855455363362685793 ok 209 - prime_count_upper(2^70) >= 24855455363362685793 ok 210 - prime_count_lower(2^58) <= 7357400267843990 ok 211 - prime_count_upper(2^58) >= 7357400267843990 ok 212 - prime_count_lower(2^63) <= 216289611853439384 ok 213 - prime_count_upper(2^63) >= 216289611853439384 ok 214 - prime_count_lower(2^49) <= 17094432576778 ok 215 - prime_count_upper(2^49) >= 17094432576778 ok 216 - prime_count_lower(2^27) <= 7603553 ok 217 - prime_count_upper(2^27) >= 7603553 ok 218 - prime_count_lower(2^14) <= 1900 ok 219 - prime_count_upper(2^14) >= 1900 ok 220 - prime_count_lower(2^52) <= 128625503610475 ok 221 - prime_count_upper(2^52) >= 128625503610475 ok 222 - prime_count_lower(2^64) <= 425656284035217743 ok 223 - prime_count_upper(2^64) >= 425656284035217743 ok 224 - prime_count_lower(2^71) <= 48995571600129458363 ok 225 - prime_count_upper(2^71) >= 48995571600129458363 ok 226 - prime_count_lower(2^84) <= 338124238545210097236684 ok 227 - prime_count_upper(2^84) >= 338124238545210097236684 ok 228 - prime_count_lower(2^45) <= 1166746786182 ok 229 - prime_count_upper(2^45) >= 1166746786182 ok 230 - prime_count_lower(2^66) <= 1649819700464785589 ok 231 - prime_count_upper(2^66) >= 1649819700464785589 ok 232 - prime_count_lower(2^72) <= 96601075195075186855 ok 233 - prime_count_upper(2^72) >= 96601075195075186855 ok 234 - prime_count_lower(2^16) <= 6542 ok 235 - prime_count_upper(2^16) >= 6542 ok 236 - prime_count_lower(2^86) <= 1320486952377516565496055 ok 237 - prime_count_upper(2^86) >= 1320486952377516565496055 ok 238 - prime_count_lower(2^51) <= 65612899915304 ok 239 - prime_count_upper(2^51) >= 65612899915304 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 73) 205 passes MR ok 20 - Pseudoprime (base 73) 259 passes MR ok 21 - Pseudoprime (base 73) 533 passes MR ok 22 - Pseudoprime (base 73) 1441 passes MR ok 23 - Pseudoprime (base 73) 1921 passes MR ok 24 - Pseudoprime (base 73) 2665 passes MR ok 25 - Pseudoprime (base 73) 3439 passes MR ok 26 - Pseudoprime (base 73) 5257 passes MR ok 27 - Pseudoprime (base 73) 15457 passes MR ok 28 - Pseudoprime (base 73) 23281 passes MR ok 29 - Pseudoprime (base 73) 24617 passes MR ok 30 - Pseudoprime (base 73) 26797 passes MR ok 31 - Pseudoprime (base 73) 27787 passes MR ok 32 - Pseudoprime (base 73) 28939 passes MR ok 33 - Pseudoprime (base 73) 34219 passes MR ok 34 - Pseudoprime (base 73) 39481 passes MR ok 35 - Pseudoprime (base 73) 44671 passes MR ok 36 - Pseudoprime (base 73) 45629 passes MR ok 37 - Pseudoprime (base 73) 64681 passes MR ok 38 - Pseudoprime (base 73) 67069 passes MR ok 39 - Pseudoprime (base 73) 76429 passes MR ok 40 - Pseudoprime (base 73) 79501 passes MR ok 41 - Pseudoprime (base 73) 93521 passes MR ok 42 - Pseudoprime (base 23) 169 passes MR ok 43 - Pseudoprime (base 23) 265 passes MR ok 44 - Pseudoprime (base 23) 553 passes MR ok 45 - Pseudoprime (base 23) 1271 passes MR ok 46 - Pseudoprime (base 23) 2701 passes MR ok 47 - Pseudoprime (base 23) 4033 passes MR ok 48 - Pseudoprime (base 23) 4371 passes MR ok 49 - Pseudoprime (base 23) 4681 passes MR ok 50 - Pseudoprime (base 23) 6533 passes MR ok 51 - Pseudoprime (base 23) 6541 passes MR ok 52 - Pseudoprime (base 23) 7957 passes MR ok 53 - Pseudoprime (base 23) 8321 passes MR ok 54 - Pseudoprime (base 23) 8651 passes MR ok 55 - Pseudoprime (base 23) 8911 passes MR ok 56 - Pseudoprime (base 23) 9805 passes MR ok 57 - Pseudoprime (base 23) 14981 passes MR ok 58 - Pseudoprime (base 23) 18721 passes MR ok 59 - Pseudoprime (base 23) 25201 passes MR ok 60 - Pseudoprime (base 23) 31861 passes MR ok 61 - Pseudoprime (base 23) 34133 passes MR ok 62 - Pseudoprime (base 23) 44173 passes MR ok 63 - Pseudoprime (base 23) 47611 passes MR ok 64 - Pseudoprime (base 23) 47783 passes MR ok 65 - Pseudoprime (base 23) 50737 passes MR ok 66 - Pseudoprime (base 23) 57401 passes MR ok 67 - Pseudoprime (base 23) 62849 passes MR ok 68 - Pseudoprime (base 23) 82513 passes MR ok 69 - Pseudoprime (base 23) 96049 passes MR ok 70 - 341 is a pseudoprime to base 2 ok 71 - 561 is a pseudoprime to base 2 ok 72 - 645 is a pseudoprime to base 2 ok 73 - 1105 is a pseudoprime to base 2 ok 74 - 1387 is a pseudoprime to base 2 ok 75 - 1729 is a pseudoprime to base 2 ok 76 - 1905 is a pseudoprime to base 2 ok 77 - 2047 is a pseudoprime to base 2 ok 78 - 2465 is a pseudoprime to base 2 ok 79 - 2701 is a pseudoprime to base 2 ok 80 - 2821 is a pseudoprime to base 2 ok 81 - 3277 is a pseudoprime to base 2 ok 82 - 4033 is a pseudoprime to base 2 ok 83 - 4369 is a pseudoprime to base 2 ok 84 - 4371 is a pseudoprime to base 2 ok 85 - 4681 is a pseudoprime to base 2 ok 86 - 5461 is a pseudoprime to base 2 ok 87 - 6601 is a pseudoprime to base 2 ok 88 - 7957 is a pseudoprime to base 2 ok 89 - 8321 is a pseudoprime to base 2 ok 90 - 8481 is a pseudoprime to base 2 ok 91 - 8911 is a pseudoprime to base 2 ok 92 - 10261 is a pseudoprime to base 2 ok 93 - 10585 is a pseudoprime to base 2 ok 94 - 11305 is a pseudoprime to base 2 ok 95 - 12801 is a pseudoprime to base 2 ok 96 - 13741 is a pseudoprime to base 2 ok 97 - 13747 is a pseudoprime to base 2 ok 98 - 13981 is a pseudoprime to base 2 ok 99 - 14491 is a pseudoprime to base 2 ok 100 - 15709 is a pseudoprime to base 2 ok 101 - 15841 is a pseudoprime to base 2 ok 102 - 16705 is a pseudoprime to base 2 ok 103 - 18705 is a pseudoprime to base 2 ok 104 - 18721 is a pseudoprime to base 2 ok 105 - 19951 is a pseudoprime to base 2 ok 106 - 23001 is a pseudoprime to base 2 ok 107 - 23377 is a pseudoprime to base 2 ok 108 - 25761 is a pseudoprime to base 2 ok 109 - 29341 is a pseudoprime to base 2 ok 110 - Pseudoprime (base 3) 121 passes MR ok 111 - Pseudoprime (base 3) 703 passes MR ok 112 - Pseudoprime (base 3) 1891 passes MR ok 113 - Pseudoprime (base 3) 3281 passes MR ok 114 - Pseudoprime (base 3) 8401 passes MR ok 115 - Pseudoprime (base 3) 8911 passes MR ok 116 - Pseudoprime (base 3) 10585 passes MR ok 117 - Pseudoprime (base 3) 12403 passes MR ok 118 - Pseudoprime (base 3) 16531 passes MR ok 119 - Pseudoprime (base 3) 18721 passes MR ok 120 - Pseudoprime (base 3) 19345 passes MR ok 121 - Pseudoprime (base 3) 23521 passes MR ok 122 - Pseudoprime (base 3) 31621 passes MR ok 123 - Pseudoprime (base 3) 44287 passes MR ok 124 - Pseudoprime (base 3) 47197 passes MR ok 125 - Pseudoprime (base 3) 55969 passes MR ok 126 - Pseudoprime (base 3) 63139 passes MR ok 127 - Pseudoprime (base 3) 74593 passes MR ok 128 - Pseudoprime (base 3) 79003 passes MR ok 129 - Pseudoprime (base 3) 82513 passes MR ok 130 - Pseudoprime (base 3) 87913 passes MR ok 131 - Pseudoprime (base 3) 88573 passes MR ok 132 - Pseudoprime (base 3) 97567 passes MR ok 133 - Pseudoprime (base 13) 85 passes MR ok 134 - Pseudoprime (base 13) 1099 passes MR ok 135 - Pseudoprime (base 13) 5149 passes MR ok 136 - Pseudoprime (base 13) 7107 passes MR ok 137 - Pseudoprime (base 13) 8911 passes MR ok 138 - Pseudoprime (base 13) 9637 passes MR ok 139 - Pseudoprime (base 13) 13019 passes MR ok 140 - Pseudoprime (base 13) 14491 passes MR ok 141 - Pseudoprime (base 13) 17803 passes MR ok 142 - Pseudoprime (base 13) 19757 passes MR ok 143 - Pseudoprime (base 13) 20881 passes MR ok 144 - Pseudoprime (base 13) 22177 passes MR ok 145 - Pseudoprime (base 13) 23521 passes MR ok 146 - Pseudoprime (base 13) 26521 passes MR ok 147 - Pseudoprime (base 13) 35371 passes MR ok 148 - Pseudoprime (base 13) 44173 passes MR ok 149 - Pseudoprime (base 13) 45629 passes MR ok 150 - Pseudoprime (base 13) 54097 passes MR ok 151 - Pseudoprime (base 13) 56033 passes MR ok 152 - Pseudoprime (base 13) 57205 passes MR ok 153 - Pseudoprime (base 13) 75241 passes MR ok 154 - Pseudoprime (base 13) 83333 passes MR ok 155 - Pseudoprime (base 13) 85285 passes MR ok 156 - Pseudoprime (base 13) 86347 passes MR ok 157 - Pseudoprime (base 3046413974) 3046413975 passes MR ok 158 - Pseudoprime (base 3046413974) 3048698683 passes MR ok 159 - Pseudoprime (base 3046413974) 3051199817 passes MR ok 160 - Pseudoprime (base 3046413974) 3068572849 passes MR ok 161 - Pseudoprime (base 3046413974) 3069705673 passes MR ok 162 - Pseudoprime (base 3046413974) 3070556233 passes MR ok 163 - Pseudoprime (base 3046413974) 3079010071 passes MR ok 164 - Pseudoprime (base 3046413974) 3089940811 passes MR ok 165 - Pseudoprime (base 3046413974) 3090723901 passes MR ok 166 - Pseudoprime (base 3046413974) 3109299161 passes MR ok 167 - Pseudoprime (base 3046413974) 3110951251 passes MR ok 168 - Pseudoprime (base 3046413974) 3113625601 passes MR ok 169 - Pseudoprime (base 1795265022) 1795265023 passes MR ok 170 - Pseudoprime (base 1795265022) 1797174457 passes MR ok 171 - Pseudoprime (base 1795265022) 1797741901 passes MR ok 172 - Pseudoprime (base 1795265022) 1804469753 passes MR ok 173 - Pseudoprime (base 1795265022) 1807751977 passes MR ok 174 - Pseudoprime (base 1795265022) 1808043283 passes MR ok 175 - Pseudoprime (base 1795265022) 1808205701 passes MR ok 176 - Pseudoprime (base 1795265022) 1813675681 passes MR ok 177 - Pseudoprime (base 1795265022) 1816462201 passes MR ok 178 - Pseudoprime (base 1795265022) 1817936371 passes MR ok 179 - Pseudoprime (base 1795265022) 1819050257 passes MR ok 180 - Pseudoprime (base 203659041) 204172939 passes MR ok 181 - Pseudoprime (base 203659041) 204456793 passes MR ok 182 - Pseudoprime (base 203659041) 206407057 passes MR ok 183 - Pseudoprime (base 203659041) 206976001 passes MR ok 184 - Pseudoprime (base 203659041) 207373483 passes MR ok 185 - Pseudoprime (base 203659041) 209301121 passes MR ok 186 - Pseudoprime (base 203659041) 210339397 passes MR ok 187 - Pseudoprime (base 203659041) 211867969 passes MR ok 188 - Pseudoprime (base 203659041) 212146507 passes MR ok 189 - Pseudoprime (base 203659041) 212337217 passes MR ok 190 - Pseudoprime (base 203659041) 212355793 passes MR ok 191 - Pseudoprime (base 203659041) 214400629 passes MR ok 192 - Pseudoprime (base 203659041) 214539841 passes MR ok 193 - Pseudoprime (base 203659041) 215161459 passes MR ok 194 - Pseudoprime (base 1340600841) 1345289261 passes MR ok 195 - Pseudoprime (base 1340600841) 1345582981 passes MR ok 196 - Pseudoprime (base 1340600841) 1347743101 passes MR ok 197 - Pseudoprime (base 1340600841) 1348964401 passes MR ok 198 - Pseudoprime (base 1340600841) 1350371821 passes MR ok 199 - Pseudoprime (base 1340600841) 1353332417 passes MR ok 200 - Pseudoprime (base 1340600841) 1355646961 passes MR ok 201 - Pseudoprime (base 1340600841) 1357500901 passes MR ok 202 - Pseudoprime (base 1340600841) 1361675929 passes MR ok 203 - Pseudoprime (base 1340600841) 1364378203 passes MR ok 204 - Pseudoprime (base 1340600841) 1366346521 passes MR ok 205 - Pseudoprime (base 1340600841) 1367104639 passes MR ok 206 - 3239 is an almost extra strong Lucas pseudoprime (increment 2) ok 207 - 4531 is an almost extra strong Lucas pseudoprime (increment 2) ok 208 - 5777 is an almost extra strong Lucas pseudoprime (increment 2) ok 209 - 10877 is an almost extra strong Lucas pseudoprime (increment 2) ok 210 - 12209 is an almost extra strong Lucas pseudoprime (increment 2) ok 211 - 21899 is an almost extra strong Lucas pseudoprime (increment 2) ok 212 - 31631 is an almost extra strong Lucas pseudoprime (increment 2) ok 213 - 31831 is an almost extra strong Lucas pseudoprime (increment 2) ok 214 - 32129 is an almost extra strong Lucas pseudoprime (increment 2) ok 215 - 34481 is an almost extra strong Lucas pseudoprime (increment 2) ok 216 - 36079 is an almost extra strong Lucas pseudoprime (increment 2) ok 217 - 37949 is an almost extra strong Lucas pseudoprime (increment 2) ok 218 - 47849 is an almost extra strong Lucas pseudoprime (increment 2) ok 219 - 50959 is an almost extra strong Lucas pseudoprime (increment 2) ok 220 - 51641 is an almost extra strong Lucas pseudoprime (increment 2) ok 221 - 62479 is an almost extra strong Lucas pseudoprime (increment 2) ok 222 - 73919 is an almost extra strong Lucas pseudoprime (increment 2) ok 223 - 75077 is an almost extra strong Lucas pseudoprime (increment 2) ok 224 - 97109 is an almost extra strong Lucas pseudoprime (increment 2) ok 225 - 100127 is an almost extra strong Lucas pseudoprime (increment 2) ok 226 - 108679 is an almost extra strong Lucas pseudoprime (increment 2) ok 227 - 113573 is an almost extra strong Lucas pseudoprime (increment 2) ok 228 - 116899 is an almost extra strong Lucas pseudoprime (increment 2) ok 229 - 154697 is an almost extra strong Lucas pseudoprime (increment 2) ok 230 - 161027 is an almost extra strong Lucas pseudoprime (increment 2) ok 231 - Pseudoprime (base 553174392) 553174393 passes MR ok 232 - Pseudoprime (base 553174392) 553945231 passes MR ok 233 - Pseudoprime (base 553174392) 554494951 passes MR ok 234 - Pseudoprime (base 553174392) 554892787 passes MR ok 235 - Pseudoprime (base 553174392) 555429169 passes MR ok 236 - Pseudoprime (base 553174392) 557058133 passes MR ok 237 - Pseudoprime (base 553174392) 557163157 passes MR ok 238 - Pseudoprime (base 553174392) 557165209 passes MR ok 239 - Pseudoprime (base 553174392) 558966793 passes MR ok 240 - Pseudoprime (base 553174392) 559407061 passes MR ok 241 - Pseudoprime (base 553174392) 560291719 passes MR ok 242 - Pseudoprime (base 553174392) 561008251 passes MR ok 243 - Pseudoprime (base 553174392) 563947141 passes MR ok 244 - Pseudoprime (base 3613982119) 3626488471 passes MR ok 245 - Pseudoprime (base 3613982119) 3630467017 passes MR ok 246 - Pseudoprime (base 3613982119) 3643480501 passes MR ok 247 - Pseudoprime (base 3613982119) 3651840727 passes MR ok 248 - Pseudoprime (base 3613982119) 3653628247 passes MR ok 249 - Pseudoprime (base 3613982119) 3654142177 passes MR ok 250 - Pseudoprime (base 3613982119) 3672033223 passes MR ok 251 - Pseudoprime (base 3613982119) 3672036061 passes MR ok 252 - Pseudoprime (base 3613982119) 3675774019 passes MR ok 253 - Pseudoprime (base 3613982119) 3687246109 passes MR ok 254 - Pseudoprime (base 3613982119) 3690036017 passes MR ok 255 - Pseudoprime (base 3613982119) 3720856369 passes MR ok 256 - 989 is an almost extra strong Lucas pseudoprime (increment 1) ok 257 - 3239 is an almost extra strong Lucas pseudoprime (increment 1) ok 258 - 5777 is an almost extra strong Lucas pseudoprime (increment 1) ok 259 - 10469 is an almost extra strong Lucas pseudoprime (increment 1) ok 260 - 10877 is an almost extra strong Lucas pseudoprime (increment 1) ok 261 - 27971 is an almost extra strong Lucas pseudoprime (increment 1) ok 262 - 29681 is an almost extra strong Lucas pseudoprime (increment 1) ok 263 - 30739 is an almost extra strong Lucas pseudoprime (increment 1) ok 264 - 31631 is an almost extra strong Lucas pseudoprime (increment 1) ok 265 - 39059 is an almost extra strong Lucas pseudoprime (increment 1) ok 266 - 72389 is an almost extra strong Lucas pseudoprime (increment 1) ok 267 - 73919 is an almost extra strong Lucas pseudoprime (increment 1) ok 268 - 75077 is an almost extra strong Lucas pseudoprime (increment 1) ok 269 - 100127 is an almost extra strong Lucas pseudoprime (increment 1) ok 270 - 113573 is an almost extra strong Lucas pseudoprime (increment 1) ok 271 - 125249 is an almost extra strong Lucas pseudoprime (increment 1) ok 272 - 137549 is an almost extra strong Lucas pseudoprime (increment 1) ok 273 - 137801 is an almost extra strong Lucas pseudoprime (increment 1) ok 274 - 153931 is an almost extra strong Lucas pseudoprime (increment 1) ok 275 - 154697 is an almost extra strong Lucas pseudoprime (increment 1) ok 276 - 155819 is an almost extra strong Lucas pseudoprime (increment 1) ok 277 - Pseudoprime (base 2) 2047 passes MR ok 278 - Pseudoprime (base 2) 3277 passes MR ok 279 - Pseudoprime (base 2) 4033 passes MR ok 280 - Pseudoprime (base 2) 4681 passes MR ok 281 - Pseudoprime (base 2) 8321 passes MR ok 282 - Pseudoprime (base 2) 15841 passes MR ok 283 - Pseudoprime (base 2) 29341 passes MR ok 284 - Pseudoprime (base 2) 42799 passes MR ok 285 - Pseudoprime (base 2) 49141 passes MR ok 286 - Pseudoprime (base 2) 52633 passes MR ok 287 - Pseudoprime (base 2) 65281 passes MR ok 288 - Pseudoprime (base 2) 74665 passes MR ok 289 - Pseudoprime (base 2) 80581 passes MR ok 290 - Pseudoprime (base 2) 85489 passes MR ok 291 - Pseudoprime (base 2) 88357 passes MR ok 292 - Pseudoprime (base 2) 90751 passes MR ok 293 - Pseudoprime (base 2) 1194649 passes MR ok 294 - 323 is a Lucas-Selfridge pseudoprime ok 295 - 377 is a Lucas-Selfridge pseudoprime ok 296 - 1159 is a Lucas-Selfridge pseudoprime ok 297 - 1829 is a Lucas-Selfridge pseudoprime ok 298 - 3827 is a Lucas-Selfridge pseudoprime ok 299 - 5459 is a Lucas-Selfridge pseudoprime ok 300 - 5777 is a Lucas-Selfridge pseudoprime ok 301 - 9071 is a Lucas-Selfridge pseudoprime ok 302 - 9179 is a Lucas-Selfridge pseudoprime ok 303 - 10877 is a Lucas-Selfridge pseudoprime ok 304 - 11419 is a Lucas-Selfridge pseudoprime ok 305 - 11663 is a Lucas-Selfridge pseudoprime ok 306 - 13919 is a Lucas-Selfridge pseudoprime ok 307 - 14839 is a Lucas-Selfridge pseudoprime ok 308 - 16109 is a Lucas-Selfridge pseudoprime ok 309 - 16211 is a Lucas-Selfridge pseudoprime ok 310 - 18407 is a Lucas-Selfridge pseudoprime ok 311 - 18971 is a Lucas-Selfridge pseudoprime ok 312 - 19043 is a Lucas-Selfridge pseudoprime ok 313 - 1729 is an Euler-Plumb pseudoprime ok 314 - 1905 is an Euler-Plumb pseudoprime ok 315 - 2047 is an Euler-Plumb pseudoprime ok 316 - 2465 is an Euler-Plumb pseudoprime ok 317 - 3277 is an Euler-Plumb pseudoprime ok 318 - 4033 is an Euler-Plumb pseudoprime ok 319 - 4681 is an Euler-Plumb pseudoprime ok 320 - 8321 is an Euler-Plumb pseudoprime ok 321 - 12801 is an Euler-Plumb pseudoprime ok 322 - 15841 is an Euler-Plumb pseudoprime ok 323 - 16705 is an Euler-Plumb pseudoprime ok 324 - 18705 is an Euler-Plumb pseudoprime ok 325 - 25761 is an Euler-Plumb pseudoprime ok 326 - 29341 is an Euler-Plumb pseudoprime ok 327 - 33153 is an Euler-Plumb pseudoprime ok 328 - 34945 is an Euler-Plumb pseudoprime ok 329 - 41041 is an Euler-Plumb pseudoprime ok 330 - 42799 is an Euler-Plumb pseudoprime ok 331 - 46657 is an Euler-Plumb pseudoprime ok 332 - 49141 is an Euler-Plumb pseudoprime ok 333 - 52633 is an Euler-Plumb pseudoprime ok 334 - 65281 is an Euler-Plumb pseudoprime ok 335 - 74665 is an Euler-Plumb pseudoprime ok 336 - 75361 is an Euler-Plumb pseudoprime ok 337 - 80581 is an Euler-Plumb pseudoprime ok 338 - 85489 is an Euler-Plumb pseudoprime ok 339 - 87249 is an Euler-Plumb pseudoprime ok 340 - 88357 is an Euler-Plumb pseudoprime ok 341 - 90751 is an Euler-Plumb pseudoprime ok 342 - Pseudoprime (base 7) 25 passes MR ok 343 - Pseudoprime (base 7) 325 passes MR ok 344 - Pseudoprime (base 7) 703 passes MR ok 345 - Pseudoprime (base 7) 2101 passes MR ok 346 - Pseudoprime (base 7) 2353 passes MR ok 347 - Pseudoprime (base 7) 4525 passes MR ok 348 - Pseudoprime (base 7) 11041 passes MR ok 349 - Pseudoprime (base 7) 14089 passes MR ok 350 - Pseudoprime (base 7) 20197 passes MR ok 351 - Pseudoprime (base 7) 29857 passes MR ok 352 - Pseudoprime (base 7) 29891 passes MR ok 353 - Pseudoprime (base 7) 39331 passes MR ok 354 - Pseudoprime (base 7) 49241 passes MR ok 355 - Pseudoprime (base 7) 58825 passes MR ok 356 - Pseudoprime (base 7) 64681 passes MR ok 357 - Pseudoprime (base 7) 76627 passes MR ok 358 - Pseudoprime (base 7) 78937 passes MR ok 359 - Pseudoprime (base 7) 79381 passes MR ok 360 - Pseudoprime (base 7) 87673 passes MR ok 361 - Pseudoprime (base 7) 88399 passes MR ok 362 - Pseudoprime (base 7) 88831 passes MR ok 363 - Pseudoprime (base 61) 217 passes MR ok 364 - Pseudoprime (base 61) 341 passes MR ok 365 - Pseudoprime (base 61) 1261 passes MR ok 366 - Pseudoprime (base 61) 2701 passes MR ok 367 - Pseudoprime (base 61) 3661 passes MR ok 368 - Pseudoprime (base 61) 6541 passes MR ok 369 - Pseudoprime (base 61) 6697 passes MR ok 370 - Pseudoprime (base 61) 7613 passes MR ok 371 - Pseudoprime (base 61) 13213 passes MR ok 372 - Pseudoprime (base 61) 16213 passes MR ok 373 - Pseudoprime (base 61) 22177 passes MR ok 374 - Pseudoprime (base 61) 23653 passes MR ok 375 - Pseudoprime (base 61) 23959 passes MR ok 376 - Pseudoprime (base 61) 31417 passes MR ok 377 - Pseudoprime (base 61) 50117 passes MR ok 378 - Pseudoprime (base 61) 61777 passes MR ok 379 - Pseudoprime (base 61) 63139 passes MR ok 380 - Pseudoprime (base 61) 67721 passes MR ok 381 - Pseudoprime (base 61) 76301 passes MR ok 382 - Pseudoprime (base 61) 77421 passes MR ok 383 - Pseudoprime (base 61) 79381 passes MR ok 384 - Pseudoprime (base 61) 80041 passes MR ok 385 - Pseudoprime (base 325) 341 passes MR ok 386 - Pseudoprime (base 325) 343 passes MR ok 387 - Pseudoprime (base 325) 697 passes MR ok 388 - Pseudoprime (base 325) 1141 passes MR ok 389 - Pseudoprime (base 325) 2059 passes MR ok 390 - Pseudoprime (base 325) 2149 passes MR ok 391 - Pseudoprime (base 325) 3097 passes MR ok 392 - Pseudoprime (base 325) 3537 passes MR ok 393 - Pseudoprime (base 325) 4033 passes MR ok 394 - Pseudoprime (base 325) 4681 passes MR ok 395 - Pseudoprime (base 325) 4941 passes MR ok 396 - Pseudoprime (base 325) 5833 passes MR ok 397 - Pseudoprime (base 325) 6517 passes MR ok 398 - Pseudoprime (base 325) 7987 passes MR ok 399 - Pseudoprime (base 325) 8911 passes MR ok 400 - Pseudoprime (base 325) 12403 passes MR ok 401 - Pseudoprime (base 325) 12913 passes MR ok 402 - Pseudoprime (base 325) 15043 passes MR ok 403 - Pseudoprime (base 325) 16021 passes MR ok 404 - Pseudoprime (base 325) 20017 passes MR ok 405 - Pseudoprime (base 325) 22261 passes MR ok 406 - Pseudoprime (base 325) 23221 passes MR ok 407 - Pseudoprime (base 325) 24649 passes MR ok 408 - Pseudoprime (base 325) 24929 passes MR ok 409 - Pseudoprime (base 325) 31841 passes MR ok 410 - Pseudoprime (base 325) 35371 passes MR ok 411 - Pseudoprime (base 325) 38503 passes MR ok 412 - Pseudoprime (base 325) 43213 passes MR ok 413 - Pseudoprime (base 325) 44173 passes MR ok 414 - Pseudoprime (base 325) 47197 passes MR ok 415 - Pseudoprime (base 325) 50041 passes MR ok 416 - Pseudoprime (base 325) 55909 passes MR ok 417 - Pseudoprime (base 325) 56033 passes MR ok 418 - Pseudoprime (base 325) 58969 passes MR ok 419 - Pseudoprime (base 325) 59089 passes MR ok 420 - Pseudoprime (base 325) 61337 passes MR ok 421 - Pseudoprime (base 325) 65441 passes MR ok 422 - Pseudoprime (base 325) 68823 passes MR ok 423 - Pseudoprime (base 325) 72641 passes MR ok 424 - Pseudoprime (base 325) 76793 passes MR ok 425 - Pseudoprime (base 325) 78409 passes MR ok 426 - Pseudoprime (base 325) 85879 passes MR ok 427 - Pseudoprime (base 9375) 11521 passes MR ok 428 - Pseudoprime (base 9375) 14689 passes MR ok 429 - Pseudoprime (base 9375) 17893 passes MR ok 430 - Pseudoprime (base 9375) 18361 passes MR ok 431 - Pseudoprime (base 9375) 20591 passes MR ok 432 - Pseudoprime (base 9375) 28093 passes MR ok 433 - Pseudoprime (base 9375) 32809 passes MR ok 434 - Pseudoprime (base 9375) 37969 passes MR ok 435 - Pseudoprime (base 9375) 44287 passes MR ok 436 - Pseudoprime (base 9375) 60701 passes MR ok 437 - Pseudoprime (base 9375) 70801 passes MR ok 438 - Pseudoprime (base 9375) 79957 passes MR ok 439 - Pseudoprime (base 9375) 88357 passes MR ok 440 - Pseudoprime (base 9375) 88831 passes MR ok 441 - Pseudoprime (base 9375) 94249 passes MR ok 442 - Pseudoprime (base 9375) 96247 passes MR ok 443 - Pseudoprime (base 9375) 99547 passes MR ok 444 - 4181 is a Frobenius (1,-1) pseudoprime ok 445 - 5777 is a Frobenius (1,-1) pseudoprime ok 446 - 6721 is a Frobenius (1,-1) pseudoprime ok 447 - 10877 is a Frobenius (1,-1) pseudoprime ok 448 - 13201 is a Frobenius (1,-1) pseudoprime ok 449 - 15251 is a Frobenius (1,-1) pseudoprime ok 450 - 34561 is a Frobenius (1,-1) pseudoprime ok 451 - 51841 is a Frobenius (1,-1) pseudoprime ok 452 - 64079 is a Frobenius (1,-1) pseudoprime ok 453 - 64681 is a Frobenius (1,-1) pseudoprime ok 454 - 67861 is a Frobenius (1,-1) pseudoprime ok 455 - 68251 is a Frobenius (1,-1) pseudoprime ok 456 - 75077 is a Frobenius (1,-1) pseudoprime ok 457 - 90061 is a Frobenius (1,-1) pseudoprime ok 458 - 96049 is a Frobenius (1,-1) pseudoprime ok 459 - 97921 is a Frobenius (1,-1) pseudoprime ok 460 - 100127 is a Frobenius (1,-1) pseudoprime ok 461 - 15 is an Euler pseudoprime to base 29 ok 462 - 91 is an Euler pseudoprime to base 29 ok 463 - 341 is an Euler pseudoprime to base 29 ok 464 - 469 is an Euler pseudoprime to base 29 ok 465 - 871 is an Euler pseudoprime to base 29 ok 466 - 2257 is an Euler pseudoprime to base 29 ok 467 - 4371 is an Euler pseudoprime to base 29 ok 468 - 4411 is an Euler pseudoprime to base 29 ok 469 - 5149 is an Euler pseudoprime to base 29 ok 470 - 5185 is an Euler pseudoprime to base 29 ok 471 - 6097 is an Euler pseudoprime to base 29 ok 472 - 8401 is an Euler pseudoprime to base 29 ok 473 - 8841 is an Euler pseudoprime to base 29 ok 474 - 11581 is an Euler pseudoprime to base 29 ok 475 - 12431 is an Euler pseudoprime to base 29 ok 476 - 15577 is an Euler pseudoprime to base 29 ok 477 - 15841 is an Euler pseudoprime to base 29 ok 478 - 16471 is an Euler pseudoprime to base 29 ok 479 - 19093 is an Euler pseudoprime to base 29 ok 480 - 22281 is an Euler pseudoprime to base 29 ok 481 - 25681 is an Euler pseudoprime to base 29 ok 482 - 27613 is an Euler pseudoprime to base 29 ok 483 - 28009 is an Euler pseudoprime to base 29 ok 484 - 29539 is an Euler pseudoprime to base 29 ok 485 - 31417 is an Euler pseudoprime to base 29 ok 486 - 33001 is an Euler pseudoprime to base 29 ok 487 - 41041 is an Euler pseudoprime to base 29 ok 488 - 46657 is an Euler pseudoprime to base 29 ok 489 - 48133 is an Euler pseudoprime to base 29 ok 490 - 49141 is an Euler pseudoprime to base 29 ok 491 - 54913 is an Euler pseudoprime to base 29 ok 492 - 57889 is an Euler pseudoprime to base 29 ok 493 - 79003 is an Euler pseudoprime to base 29 ok 494 - 98301 is an Euler pseudoprime to base 29 ok 495 - 5459 is a strong Lucas-Selfridge pseudoprime ok 496 - 5777 is a strong Lucas-Selfridge pseudoprime ok 497 - 10877 is a strong Lucas-Selfridge pseudoprime ok 498 - 16109 is a strong Lucas-Selfridge pseudoprime ok 499 - 18971 is a strong Lucas-Selfridge pseudoprime ok 500 - 22499 is a strong Lucas-Selfridge pseudoprime ok 501 - 24569 is a strong Lucas-Selfridge pseudoprime ok 502 - 25199 is a strong Lucas-Selfridge pseudoprime ok 503 - 40309 is a strong Lucas-Selfridge pseudoprime ok 504 - 58519 is a strong Lucas-Selfridge pseudoprime ok 505 - 75077 is a strong Lucas-Selfridge pseudoprime ok 506 - 97439 is a strong Lucas-Selfridge pseudoprime ok 507 - 100127 is a strong Lucas-Selfridge pseudoprime ok 508 - 113573 is a strong Lucas-Selfridge pseudoprime ok 509 - 115639 is a strong Lucas-Selfridge pseudoprime ok 510 - 130139 is a strong Lucas-Selfridge pseudoprime ok 511 - 561 is an Euler pseudoprime to base 2 ok 512 - 1105 is an Euler pseudoprime to base 2 ok 513 - 1729 is an Euler pseudoprime to base 2 ok 514 - 1905 is an Euler pseudoprime to base 2 ok 515 - 2047 is an Euler pseudoprime to base 2 ok 516 - 2465 is an Euler pseudoprime to base 2 ok 517 - 3277 is an Euler pseudoprime to base 2 ok 518 - 4033 is an Euler pseudoprime to base 2 ok 519 - 4681 is an Euler pseudoprime to base 2 ok 520 - 6601 is an Euler pseudoprime to base 2 ok 521 - 8321 is an Euler pseudoprime to base 2 ok 522 - 8481 is an Euler pseudoprime to base 2 ok 523 - 10585 is an Euler pseudoprime to base 2 ok 524 - 12801 is an Euler pseudoprime to base 2 ok 525 - 15841 is an Euler pseudoprime to base 2 ok 526 - 16705 is an Euler pseudoprime to base 2 ok 527 - 18705 is an Euler pseudoprime to base 2 ok 528 - 25761 is an Euler pseudoprime to base 2 ok 529 - 29341 is an Euler pseudoprime to base 2 ok 530 - 30121 is an Euler pseudoprime to base 2 ok 531 - 33153 is an Euler pseudoprime to base 2 ok 532 - 34945 is an Euler pseudoprime to base 2 ok 533 - 41041 is an Euler pseudoprime to base 2 ok 534 - 42799 is an Euler pseudoprime to base 2 ok 535 - 46657 is an Euler pseudoprime to base 2 ok 536 - 49141 is an Euler pseudoprime to base 2 ok 537 - 52633 is an Euler pseudoprime to base 2 ok 538 - 62745 is an Euler pseudoprime to base 2 ok 539 - 65281 is an Euler pseudoprime to base 2 ok 540 - 74665 is an Euler pseudoprime to base 2 ok 541 - 75361 is an Euler pseudoprime to base 2 ok 542 - 80581 is an Euler pseudoprime to base 2 ok 543 - 85489 is an Euler pseudoprime to base 2 ok 544 - 87249 is an Euler pseudoprime to base 2 ok 545 - 88357 is an Euler pseudoprime to base 2 ok 546 - 90751 is an Euler pseudoprime to base 2 ok 547 - 91 is a pseudoprime to base 3 ok 548 - 121 is a pseudoprime to base 3 ok 549 - 286 is a pseudoprime to base 3 ok 550 - 671 is a pseudoprime to base 3 ok 551 - 703 is a pseudoprime to base 3 ok 552 - 949 is a pseudoprime to base 3 ok 553 - 1105 is a pseudoprime to base 3 ok 554 - 1541 is a pseudoprime to base 3 ok 555 - 1729 is a pseudoprime to base 3 ok 556 - 1891 is a pseudoprime to base 3 ok 557 - 2465 is a pseudoprime to base 3 ok 558 - 2665 is a pseudoprime to base 3 ok 559 - 2701 is a pseudoprime to base 3 ok 560 - 2821 is a pseudoprime to base 3 ok 561 - 3281 is a pseudoprime to base 3 ok 562 - 3367 is a pseudoprime to base 3 ok 563 - 3751 is a pseudoprime to base 3 ok 564 - 4961 is a pseudoprime to base 3 ok 565 - 5551 is a pseudoprime to base 3 ok 566 - 6601 is a pseudoprime to base 3 ok 567 - 7381 is a pseudoprime to base 3 ok 568 - 8401 is a pseudoprime to base 3 ok 569 - 8911 is a pseudoprime to base 3 ok 570 - 10585 is a pseudoprime to base 3 ok 571 - 11011 is a pseudoprime to base 3 ok 572 - 12403 is a pseudoprime to base 3 ok 573 - 14383 is a pseudoprime to base 3 ok 574 - 15203 is a pseudoprime to base 3 ok 575 - 15457 is a pseudoprime to base 3 ok 576 - 15841 is a pseudoprime to base 3 ok 577 - 16471 is a pseudoprime to base 3 ok 578 - 16531 is a pseudoprime to base 3 ok 579 - 18721 is a pseudoprime to base 3 ok 580 - 19345 is a pseudoprime to base 3 ok 581 - 23521 is a pseudoprime to base 3 ok 582 - 24046 is a pseudoprime to base 3 ok 583 - 24661 is a pseudoprime to base 3 ok 584 - 24727 is a pseudoprime to base 3 ok 585 - 28009 is a pseudoprime to base 3 ok 586 - 29161 is a pseudoprime to base 3 ok 587 - 271441 is a Perrin pseudoprime ok 588 - 904631 is a Perrin pseudoprime ok 589 - 16532714 is a Perrin pseudoprime ok 590 - 24658561 is a Perrin pseudoprime ok 591 - 27422714 is a Perrin pseudoprime ok 592 - 27664033 is a Perrin pseudoprime ok 593 - 46672291 is a Perrin pseudoprime ok 594 - 102690901 is a Perrin pseudoprime ok 595 - 130944133 is a Perrin pseudoprime ok 596 - 196075949 is a Perrin pseudoprime ok 597 - 214038533 is a Perrin pseudoprime ok 598 - 517697641 is a Perrin pseudoprime ok 599 - 545670533 is a Perrin pseudoprime ok 600 - 801123451 is a Perrin pseudoprime ok 601 - Pseudoprime (base 19) 9 passes MR ok 602 - Pseudoprime (base 19) 49 passes MR ok 603 - Pseudoprime (base 19) 169 passes MR ok 604 - Pseudoprime (base 19) 343 passes MR ok 605 - Pseudoprime (base 19) 1849 passes MR ok 606 - Pseudoprime (base 19) 2353 passes MR ok 607 - Pseudoprime (base 19) 2701 passes MR ok 608 - Pseudoprime (base 19) 4033 passes MR ok 609 - Pseudoprime (base 19) 4681 passes MR ok 610 - Pseudoprime (base 19) 6541 passes MR ok 611 - Pseudoprime (base 19) 6697 passes MR ok 612 - Pseudoprime (base 19) 7957 passes MR ok 613 - Pseudoprime (base 19) 9997 passes MR ok 614 - Pseudoprime (base 19) 12403 passes MR ok 615 - Pseudoprime (base 19) 13213 passes MR ok 616 - Pseudoprime (base 19) 13747 passes MR ok 617 - Pseudoprime (base 19) 15251 passes MR ok 618 - Pseudoprime (base 19) 16531 passes MR ok 619 - Pseudoprime (base 19) 18769 passes MR ok 620 - Pseudoprime (base 19) 19729 passes MR ok 621 - Pseudoprime (base 19) 24761 passes MR ok 622 - Pseudoprime (base 19) 30589 passes MR ok 623 - Pseudoprime (base 19) 31621 passes MR ok 624 - Pseudoprime (base 19) 31861 passes MR ok 625 - Pseudoprime (base 19) 32477 passes MR ok 626 - Pseudoprime (base 19) 41003 passes MR ok 627 - Pseudoprime (base 19) 49771 passes MR ok 628 - Pseudoprime (base 19) 63139 passes MR ok 629 - Pseudoprime (base 19) 64681 passes MR ok 630 - Pseudoprime (base 19) 65161 passes MR ok 631 - Pseudoprime (base 19) 66421 passes MR ok 632 - Pseudoprime (base 19) 68257 passes MR ok 633 - Pseudoprime (base 19) 73555 passes MR ok 634 - Pseudoprime (base 19) 96049 passes MR ok 635 - 13333 is a Frobenius (3,-5) pseudoprime ok 636 - 44801 is a Frobenius (3,-5) pseudoprime ok 637 - 486157 is a Frobenius (3,-5) pseudoprime ok 638 - 1615681 is a Frobenius (3,-5) pseudoprime ok 639 - 3125281 is a Frobenius (3,-5) pseudoprime ok 640 - 4219129 is a Frobenius (3,-5) pseudoprime ok 641 - 9006401 is a Frobenius (3,-5) pseudoprime ok 642 - 12589081 is a Frobenius (3,-5) pseudoprime ok 643 - 13404751 is a Frobenius (3,-5) pseudoprime ok 644 - 15576571 is a Frobenius (3,-5) pseudoprime ok 645 - 16719781 is a Frobenius (3,-5) pseudoprime ok 646 - Pseudoprime (base 17) 9 passes MR ok 647 - Pseudoprime (base 17) 91 passes MR ok 648 - Pseudoprime (base 17) 145 passes MR ok 649 - Pseudoprime (base 17) 781 passes MR ok 650 - Pseudoprime (base 17) 1111 passes MR ok 651 - Pseudoprime (base 17) 2821 passes MR ok 652 - Pseudoprime (base 17) 4033 passes MR ok 653 - Pseudoprime (base 17) 4187 passes MR ok 654 - Pseudoprime (base 17) 5365 passes MR ok 655 - Pseudoprime (base 17) 5833 passes MR ok 656 - Pseudoprime (base 17) 6697 passes MR ok 657 - Pseudoprime (base 17) 7171 passes MR ok 658 - Pseudoprime (base 17) 15805 passes MR ok 659 - Pseudoprime (base 17) 19729 passes MR ok 660 - Pseudoprime (base 17) 21781 passes MR ok 661 - Pseudoprime (base 17) 22791 passes MR ok 662 - Pseudoprime (base 17) 24211 passes MR ok 663 - Pseudoprime (base 17) 26245 passes MR ok 664 - Pseudoprime (base 17) 31621 passes MR ok 665 - Pseudoprime (base 17) 33001 passes MR ok 666 - Pseudoprime (base 17) 33227 passes MR ok 667 - Pseudoprime (base 17) 34441 passes MR ok 668 - Pseudoprime (base 17) 35371 passes MR ok 669 - Pseudoprime (base 17) 38081 passes MR ok 670 - Pseudoprime (base 17) 42127 passes MR ok 671 - Pseudoprime (base 17) 49771 passes MR ok 672 - Pseudoprime (base 17) 71071 passes MR ok 673 - Pseudoprime (base 17) 74665 passes MR ok 674 - Pseudoprime (base 17) 77293 passes MR ok 675 - Pseudoprime (base 17) 78881 passes MR ok 676 - Pseudoprime (base 17) 88831 passes MR ok 677 - Pseudoprime (base 17) 96433 passes MR ok 678 - Pseudoprime (base 17) 97921 passes MR ok 679 - Pseudoprime (base 17) 98671 passes MR ok 680 - Pseudoprime (base 5) 781 passes MR ok 681 - Pseudoprime (base 5) 1541 passes MR ok 682 - Pseudoprime (base 5) 5461 passes MR ok 683 - Pseudoprime (base 5) 5611 passes MR ok 684 - Pseudoprime (base 5) 7813 passes MR ok 685 - Pseudoprime (base 5) 13021 passes MR ok 686 - Pseudoprime (base 5) 14981 passes MR ok 687 - Pseudoprime (base 5) 15751 passes MR ok 688 - Pseudoprime (base 5) 24211 passes MR ok 689 - Pseudoprime (base 5) 25351 passes MR ok 690 - Pseudoprime (base 5) 29539 passes MR ok 691 - Pseudoprime (base 5) 38081 passes MR ok 692 - Pseudoprime (base 5) 40501 passes MR ok 693 - Pseudoprime (base 5) 44801 passes MR ok 694 - Pseudoprime (base 5) 53971 passes MR ok 695 - Pseudoprime (base 5) 79381 passes MR ok 696 - Pseudoprime (base 29) 15 passes MR ok 697 - Pseudoprime (base 29) 91 passes MR ok 698 - Pseudoprime (base 29) 341 passes MR ok 699 - Pseudoprime (base 29) 469 passes MR ok 700 - Pseudoprime (base 29) 871 passes MR ok 701 - Pseudoprime (base 29) 2257 passes MR ok 702 - Pseudoprime (base 29) 4371 passes MR ok 703 - Pseudoprime (base 29) 4411 passes MR ok 704 - Pseudoprime (base 29) 5149 passes MR ok 705 - Pseudoprime (base 29) 6097 passes MR ok 706 - Pseudoprime (base 29) 8401 passes MR ok 707 - Pseudoprime (base 29) 11581 passes MR ok 708 - Pseudoprime (base 29) 12431 passes MR ok 709 - Pseudoprime (base 29) 15577 passes MR ok 710 - Pseudoprime (base 29) 16471 passes MR ok 711 - Pseudoprime (base 29) 19093 passes MR ok 712 - Pseudoprime (base 29) 25681 passes MR ok 713 - Pseudoprime (base 29) 28009 passes MR ok 714 - Pseudoprime (base 29) 29539 passes MR ok 715 - Pseudoprime (base 29) 31417 passes MR ok 716 - Pseudoprime (base 29) 33001 passes MR ok 717 - Pseudoprime (base 29) 48133 passes MR ok 718 - Pseudoprime (base 29) 49141 passes MR ok 719 - Pseudoprime (base 29) 54913 passes MR ok 720 - Pseudoprime (base 29) 79003 passes MR ok 721 - Pseudoprime (base 1005905886) 1005905887 passes MR ok 722 - Pseudoprime (base 1005905886) 1007713171 passes MR ok 723 - Pseudoprime (base 1005905886) 1008793699 passes MR ok 724 - Pseudoprime (base 1005905886) 1010415421 passes MR ok 725 - Pseudoprime (base 1005905886) 1010487061 passes MR ok 726 - Pseudoprime (base 1005905886) 1010836369 passes MR ok 727 - Pseudoprime (base 1005905886) 1012732873 passes MR ok 728 - Pseudoprime (base 1005905886) 1015269391 passes MR ok 729 - Pseudoprime (base 1005905886) 1016250247 passes MR ok 730 - Pseudoprime (base 1005905886) 1018405741 passes MR ok 731 - Pseudoprime (base 1005905886) 1020182041 passes MR ok 732 - Pseudoprime (base 11) 133 passes MR ok 733 - Pseudoprime (base 11) 793 passes MR ok 734 - Pseudoprime (base 11) 2047 passes MR ok 735 - Pseudoprime (base 11) 4577 passes MR ok 736 - Pseudoprime (base 11) 5041 passes MR ok 737 - Pseudoprime (base 11) 12403 passes MR ok 738 - Pseudoprime (base 11) 13333 passes MR ok 739 - Pseudoprime (base 11) 14521 passes MR ok 740 - Pseudoprime (base 11) 17711 passes MR ok 741 - Pseudoprime (base 11) 23377 passes MR ok 742 - Pseudoprime (base 11) 43213 passes MR ok 743 - Pseudoprime (base 11) 43739 passes MR ok 744 - Pseudoprime (base 11) 47611 passes MR ok 745 - Pseudoprime (base 11) 48283 passes MR ok 746 - Pseudoprime (base 11) 49601 passes MR ok 747 - Pseudoprime (base 11) 50737 passes MR ok 748 - Pseudoprime (base 11) 50997 passes MR ok 749 - Pseudoprime (base 11) 56057 passes MR ok 750 - Pseudoprime (base 11) 58969 passes MR ok 751 - Pseudoprime (base 11) 68137 passes MR ok 752 - Pseudoprime (base 11) 74089 passes MR ok 753 - Pseudoprime (base 11) 85879 passes MR ok 754 - Pseudoprime (base 11) 86347 passes MR ok 755 - Pseudoprime (base 11) 87913 passes MR ok 756 - Pseudoprime (base 11) 88831 passes MR ok 757 - 989 is an extra strong Lucas pseudoprime ok 758 - 3239 is an extra strong Lucas pseudoprime ok 759 - 5777 is an extra strong Lucas pseudoprime ok 760 - 10877 is an extra strong Lucas pseudoprime ok 761 - 27971 is an extra strong Lucas pseudoprime ok 762 - 29681 is an extra strong Lucas pseudoprime ok 763 - 30739 is an extra strong Lucas pseudoprime ok 764 - 31631 is an extra strong Lucas pseudoprime ok 765 - 39059 is an extra strong Lucas pseudoprime ok 766 - 72389 is an extra strong Lucas pseudoprime ok 767 - 73919 is an extra strong Lucas pseudoprime ok 768 - 75077 is an extra strong Lucas pseudoprime ok 769 - 100127 is an extra strong Lucas pseudoprime ok 770 - 113573 is an extra strong Lucas pseudoprime ok 771 - 125249 is an extra strong Lucas pseudoprime ok 772 - 137549 is an extra strong Lucas pseudoprime ok 773 - 137801 is an extra strong Lucas pseudoprime ok 774 - 153931 is an extra strong Lucas pseudoprime ok 775 - 155819 is an extra strong Lucas pseudoprime ok 776 - Pseudoprime (base 37) 9 passes MR ok 777 - Pseudoprime (base 37) 451 passes MR ok 778 - Pseudoprime (base 37) 469 passes MR ok 779 - Pseudoprime (base 37) 589 passes MR ok 780 - Pseudoprime (base 37) 685 passes MR ok 781 - Pseudoprime (base 37) 817 passes MR ok 782 - Pseudoprime (base 37) 1333 passes MR ok 783 - Pseudoprime (base 37) 3781 passes MR ok 784 - Pseudoprime (base 37) 8905 passes MR ok 785 - Pseudoprime (base 37) 9271 passes MR ok 786 - Pseudoprime (base 37) 18631 passes MR ok 787 - Pseudoprime (base 37) 19517 passes MR ok 788 - Pseudoprime (base 37) 20591 passes MR ok 789 - Pseudoprime (base 37) 25327 passes MR ok 790 - Pseudoprime (base 37) 34237 passes MR ok 791 - Pseudoprime (base 37) 45551 passes MR ok 792 - Pseudoprime (base 37) 46981 passes MR ok 793 - Pseudoprime (base 37) 47587 passes MR ok 794 - Pseudoprime (base 37) 48133 passes MR ok 795 - Pseudoprime (base 37) 59563 passes MR ok 796 - Pseudoprime (base 37) 61337 passes MR ok 797 - Pseudoprime (base 37) 68101 passes MR ok 798 - Pseudoprime (base 37) 68251 passes MR ok 799 - Pseudoprime (base 37) 73633 passes MR ok 800 - Pseudoprime (base 37) 79381 passes MR ok 801 - Pseudoprime (base 37) 79501 passes MR ok 802 - Pseudoprime (base 37) 83333 passes MR ok 803 - Pseudoprime (base 37) 84151 passes MR ok 804 - Pseudoprime (base 37) 96727 passes MR ok 805 - Pseudoprime (base 28178) 28179 passes MR ok 806 - Pseudoprime (base 28178) 29381 passes MR ok 807 - Pseudoprime (base 28178) 30353 passes MR ok 808 - Pseudoprime (base 28178) 34441 passes MR ok 809 - Pseudoprime (base 28178) 35371 passes MR ok 810 - Pseudoprime (base 28178) 37051 passes MR ok 811 - Pseudoprime (base 28178) 38503 passes MR ok 812 - Pseudoprime (base 28178) 43387 passes MR ok 813 - Pseudoprime (base 28178) 50557 passes MR ok 814 - Pseudoprime (base 28178) 51491 passes MR ok 815 - Pseudoprime (base 28178) 57553 passes MR ok 816 - Pseudoprime (base 28178) 79003 passes MR ok 817 - Pseudoprime (base 28178) 82801 passes MR ok 818 - Pseudoprime (base 28178) 83333 passes MR ok 819 - Pseudoprime (base 28178) 87249 passes MR ok 820 - Pseudoprime (base 28178) 88507 passes MR ok 821 - Pseudoprime (base 28178) 97921 passes MR ok 822 - Pseudoprime (base 28178) 99811 passes MR ok 823 - 121 is an Euler pseudoprime to base 3 ok 824 - 703 is an Euler pseudoprime to base 3 ok 825 - 1729 is an Euler pseudoprime to base 3 ok 826 - 1891 is an Euler pseudoprime to base 3 ok 827 - 2821 is an Euler pseudoprime to base 3 ok 828 - 3281 is an Euler pseudoprime to base 3 ok 829 - 7381 is an Euler pseudoprime to base 3 ok 830 - 8401 is an Euler pseudoprime to base 3 ok 831 - 8911 is an Euler pseudoprime to base 3 ok 832 - 10585 is an Euler pseudoprime to base 3 ok 833 - 12403 is an Euler pseudoprime to base 3 ok 834 - 15457 is an Euler pseudoprime to base 3 ok 835 - 15841 is an Euler pseudoprime to base 3 ok 836 - 16531 is an Euler pseudoprime to base 3 ok 837 - 18721 is an Euler pseudoprime to base 3 ok 838 - 19345 is an Euler pseudoprime to base 3 ok 839 - 23521 is an Euler pseudoprime to base 3 ok 840 - 24661 is an Euler pseudoprime to base 3 ok 841 - 28009 is an Euler pseudoprime to base 3 ok 842 - 29341 is an Euler pseudoprime to base 3 ok 843 - 31621 is an Euler pseudoprime to base 3 ok 844 - 41041 is an Euler pseudoprime to base 3 ok 845 - 44287 is an Euler pseudoprime to base 3 ok 846 - 46657 is an Euler pseudoprime to base 3 ok 847 - 47197 is an Euler pseudoprime to base 3 ok 848 - 49141 is an Euler pseudoprime to base 3 ok 849 - 50881 is an Euler pseudoprime to base 3 ok 850 - 52633 is an Euler pseudoprime to base 3 ok 851 - 55969 is an Euler pseudoprime to base 3 ok 852 - 63139 is an Euler pseudoprime to base 3 ok 853 - 63973 is an Euler pseudoprime to base 3 ok 854 - 74593 is an Euler pseudoprime to base 3 ok 855 - 75361 is an Euler pseudoprime to base 3 ok 856 - 79003 is an Euler pseudoprime to base 3 ok 857 - 82513 is an Euler pseudoprime to base 3 ok 858 - 87913 is an Euler pseudoprime to base 3 ok 859 - 88573 is an Euler pseudoprime to base 3 ok 860 - 93961 is an Euler pseudoprime to base 3 ok 861 - 97567 is an Euler pseudoprime to base 3 ok 862 - Pseudoprime (base 450775) 465991 passes MR ok 863 - Pseudoprime (base 450775) 468931 passes MR ok 864 - Pseudoprime (base 450775) 485357 passes MR ok 865 - Pseudoprime (base 450775) 505441 passes MR ok 866 - Pseudoprime (base 450775) 536851 passes MR ok 867 - Pseudoprime (base 450775) 556421 passes MR ok 868 - Pseudoprime (base 450775) 578771 passes MR ok 869 - Pseudoprime (base 450775) 585631 passes MR ok 870 - Pseudoprime (base 450775) 586249 passes MR ok 871 - Pseudoprime (base 450775) 606361 passes MR ok 872 - Pseudoprime (base 450775) 631651 passes MR ok 873 - Pseudoprime (base 450775) 638731 passes MR ok 874 - Pseudoprime (base 450775) 641683 passes MR ok 875 - Pseudoprime (base 450775) 645679 passes MR ok 876 - Pseudoprime (base 642735) 653251 passes MR ok 877 - Pseudoprime (base 642735) 653333 passes MR ok 878 - Pseudoprime (base 642735) 663181 passes MR ok 879 - Pseudoprime (base 642735) 676651 passes MR ok 880 - Pseudoprime (base 642735) 714653 passes MR ok 881 - Pseudoprime (base 642735) 759277 passes MR ok 882 - Pseudoprime (base 642735) 794683 passes MR ok 883 - Pseudoprime (base 642735) 805141 passes MR ok 884 - Pseudoprime (base 642735) 844097 passes MR ok 885 - Pseudoprime (base 642735) 872191 passes MR ok 886 - Pseudoprime (base 642735) 874171 passes MR ok 887 - Pseudoprime (base 642735) 894671 passes MR ok 888 - Pseudoprime (base 31) 15 passes MR ok 889 - Pseudoprime (base 31) 49 passes MR ok 890 - Pseudoprime (base 31) 133 passes MR ok 891 - Pseudoprime (base 31) 481 passes MR ok 892 - Pseudoprime (base 31) 931 passes MR ok 893 - Pseudoprime (base 31) 6241 passes MR ok 894 - Pseudoprime (base 31) 8911 passes MR ok 895 - Pseudoprime (base 31) 9131 passes MR ok 896 - Pseudoprime (base 31) 10963 passes MR ok 897 - Pseudoprime (base 31) 11041 passes MR ok 898 - Pseudoprime (base 31) 14191 passes MR ok 899 - Pseudoprime (base 31) 17767 passes MR ok 900 - Pseudoprime (base 31) 29341 passes MR ok 901 - Pseudoprime (base 31) 56033 passes MR ok 902 - Pseudoprime (base 31) 58969 passes MR ok 903 - Pseudoprime (base 31) 68251 passes MR ok 904 - Pseudoprime (base 31) 79003 passes MR ok 905 - Pseudoprime (base 31) 83333 passes MR ok 906 - Pseudoprime (base 31) 87061 passes MR ok 907 - Pseudoprime (base 31) 88183 passes MR ok 908 - Pseudoprime (base 75088) 75089 passes MR ok 909 - Pseudoprime (base 75088) 79381 passes MR ok 910 - Pseudoprime (base 75088) 81317 passes MR ok 911 - Pseudoprime (base 75088) 91001 passes MR ok 912 - Pseudoprime (base 75088) 100101 passes MR ok 913 - Pseudoprime (base 75088) 111361 passes MR ok 914 - Pseudoprime (base 75088) 114211 passes MR ok 915 - Pseudoprime (base 75088) 136927 passes MR ok 916 - Pseudoprime (base 75088) 148289 passes MR ok 917 - Pseudoprime (base 75088) 169641 passes MR ok 918 - Pseudoprime (base 75088) 176661 passes MR ok 919 - Pseudoprime (base 75088) 191407 passes MR ok 920 - Pseudoprime (base 75088) 195649 passes MR ok 921 - Pseudoprime (base 9780504) 9780505 passes MR ok 922 - Pseudoprime (base 9780504) 9784915 passes MR ok 923 - Pseudoprime (base 9780504) 9826489 passes MR ok 924 - Pseudoprime (base 9780504) 9882457 passes MR ok 925 - Pseudoprime (base 9780504) 9974791 passes MR ok 926 - Pseudoprime (base 9780504) 10017517 passes MR ok 927 - Pseudoprime (base 9780504) 10018081 passes MR ok 928 - Pseudoprime (base 9780504) 10084177 passes MR ok 929 - Pseudoprime (base 9780504) 10188481 passes MR ok 930 - Pseudoprime (base 9780504) 10247357 passes MR ok 931 - Pseudoprime (base 9780504) 10267951 passes MR ok 932 - Pseudoprime (base 9780504) 10392241 passes MR ok 933 - Pseudoprime (base 9780504) 10427209 passes MR ok 934 - Pseudoprime (base 9780504) 10511201 passes MR 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 18971 10001 -1 4743 ok 961 - Lucas sequence 323 4 5 324 ok 962 - Lucas sequence 323 3 1 81 ok 963 - Lucas sequence 323 1 1 324 ok 964 - Lucas sequence 323 3 1 324 ok 965 - Lucas sequence 323 4 1 324 ok 966 - Lucas sequence 323 5 -1 81 ok 967 - Lucas sequence 49001 25 117 24501 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_5 ok 8 - Jordan's Totient J_2 ok 9 - Jordan's Totient J_4 ok 10 - Jordan's Totient J_1 ok 11 - Jordan's Totient J_7 ok 12 - Jordan's Totient J_6 ok 13 - Jordan's Totient J_3 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(27) == 3 ok 76 - exp_mangoldt(1) == 1 ok 77 - exp_mangoldt(399983) == 399983 ok 78 - exp_mangoldt(4) == 2 ok 79 - exp_mangoldt(8) == 2 ok 80 - exp_mangoldt(6) == 1 ok 81 - exp_mangoldt(3) == 3 ok 82 - exp_mangoldt(83521) == 17 ok 83 - exp_mangoldt(10) == 1 ok 84 - exp_mangoldt(823543) == 7 ok 85 - exp_mangoldt(11) == 11 ok 86 - exp_mangoldt(-13) == 1 ok 87 - exp_mangoldt(0) == 1 ok 88 - exp_mangoldt(399982) == 1 ok 89 - exp_mangoldt(130321) == 19 ok 90 - exp_mangoldt(399981) == 1 ok 91 - exp_mangoldt(9) == 3 ok 92 - exp_mangoldt(5) == 5 ok 93 - exp_mangoldt(25) == 5 ok 94 - exp_mangoldt(7) == 7 ok 95 - exp_mangoldt(2) == 2 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(1407827621) == 2 ok 120 - znprimroot(-11) == 2 ok 121 - znprimroot(8) == ok 122 - znprimroot(10) == 3 ok 123 - znprimroot(100000001) == ok 124 - znprimroot(2232881419280027) == 6 ok 125 - znprimroot(14123555781055773271) == 6 ok 126 - znprimroot(0) == ok 127 - znprimroot(89637484042681) == 335 ok 128 - znprimroot(9) == 2 ok 129 - znprimroot(5) == 2 ok 130 - znprimroot(1729) == ok 131 - znprimroot(1685283601) == 164 ok 132 - znprimroot(5109721) == 94 ok 133 - znprimroot(7) == 3 ok 134 - znprimroot(9223372036854775837) == 5 ok 135 - znprimroot(2) == 1 ok 136 - znprimroot(17551561) == 97 ok 137 - znprimroot(1) == 0 ok 138 - znprimroot(4) == 3 ok 139 - znprimroot(3) == 2 ok 140 - znprimroot(6) == 5 ok 141 - znprimroot(90441961) == 113 ok 142 - znprimroot(1520874431) == 17 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(53) = -1596055698 ok 158 - Ramanujan Tau(83456) = 130596522071273977247956992 ok 159 - Ramanujan Tau(3) = 252 ok 160 - Ramanujan Tau(16089) = 12655813883111729342208 ok 161 - Ramanujan Tau(1) = 1 ok 162 - Ramanujan Tau(4) = -1472 ok 163 - Ramanujan Tau(243) = 13400796651732 ok 164 - Ramanujan Tau(106) = 38305336752 ok 165 - Ramanujan Tau(2) = -24 ok 166 - Ramanujan Tau(0) = 0 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(4497) ok 53 - partitions(1000) ok 54 - partitions(500) ok 55 - partitions(100) 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-ismisc.t ................ 1..19 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 - first 10 triangular numbers ok 17 - first 10 23-gonal numbers ok 18 - 140737496743936 is the 16777216-th triangular number ok 19 - identified the 12345678901234567890-th pentagonal number ok t/26-lambertw.t .............. 1..15 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 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(12345) = 1477.18529486278566013620706299851975937829102453 ok 3 - R(123456) = 11602.3885324491433573165310800667605102847042681 ok 4 - R(123456789) = 7027403.22117008872413898789377520747800808475988 ok 5 - R(1234567) = 95364.7282332640388293270946571187905178500286859 ok 6 - R(1234) = 201.089189397887171164417491080355409507577355431 ok 7 - R(12345678) = 809199.447325079489265130526492437800991704424795 ok 8 - R(123) = 30.2234556285623332613428945094834980032607831334 ok 9 - R(20) = 7.52719634941220484077584239013039997938974169722 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] 61 in range 1000000000000000000000 .. 1000000000000000104068 ok 16 - Pattern [2 6] 6 in range 1000000000000000000000 .. 1000000000000000104068 ok 17 - Pattern [4 6] 3 in range 1000000000000000000000 .. 1000000000000000104068 ok 18 - Pattern [2 6 8] 1 in range 1000000000000000000000 .. 1000000000000000104068 ok 19 - Pattern [2 6 8 12] 0 in range 1000000000000000000000 .. 1000000000000000104068 ok 20 - Pattern [4 6 10 12] 0 in range 1000000000000000000000 .. 1000000000000000104068 ok 21 - Pattern [4 6 10 12 16] 0 in range 1000000000000000000000 .. 1000000000000000104068 ok 22 - Pattern [2 8 12 14 18 20] 0 in range 1000000000000000000000 .. 1000000000000000104068 ok 23 - Pattern [2 6 8 12 18 20] 0 in range 1000000000000000000000 .. 1000000000000000104068 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 10 iterations ok 4 - irand64 all bits off in 10 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..181 ok 1 - primes(3,2) should return undef ok 2 - primes(1294268492,1294268778) should return undef ok 3 - primes(2,1) should return undef ok 4 - primes(0,1) should return undef ok 5 - primes(3842610774,3842611108) should return undef ok 6 - primes(0,0) should return undef ok 7 - Prime in range 3-5 is indeed prime ok 8 - random_prime(3,5) >= 3 ok 9 - random_prime(3,5) <= 5 ok 10 - Prime in range 3842610772-3842611110 is indeed prime ok 11 - random_prime(3842610772,3842611110) >= 3842610773 ok 12 - random_prime(3842610772,3842611110) <= 3842611109 ok 13 - Prime in range 16706143-16706143 is indeed prime ok 14 - random_prime(16706143,16706143) >= 16706143 ok 15 - random_prime(16706143,16706143) <= 16706143 ok 16 - Prime in range 8-12 is indeed prime ok 17 - random_prime(8,12) >= 11 ok 18 - random_prime(8,12) <= 11 ok 19 - Prime in range 2-2 is indeed prime ok 20 - random_prime(2,2) >= 2 ok 21 - random_prime(2,2) <= 2 ok 22 - Prime in range 0-2 is indeed prime ok 23 - random_prime(0,2) >= 2 ok 24 - random_prime(0,2) <= 2 ok 25 - Prime in range 2-3 is indeed prime ok 26 - random_prime(2,3) >= 2 ok 27 - random_prime(2,3) <= 3 ok 28 - Prime in range 16706142-16706144 is indeed prime ok 29 - random_prime(16706142,16706144) >= 16706143 ok 30 - random_prime(16706142,16706144) <= 16706143 ok 31 - Prime in range 10-12 is indeed prime ok 32 - random_prime(10,12) >= 11 ok 33 - random_prime(10,12) <= 11 ok 34 - Prime in range 10-20 is indeed prime ok 35 - random_prime(10,20) >= 11 ok 36 - random_prime(10,20) <= 19 ok 37 - Prime in range 3842610773-3842611109 is indeed prime ok 38 - random_prime(3842610773,3842611109) >= 3842610773 ok 39 - random_prime(3842610773,3842611109) <= 3842611109 ok 40 - All returned values for 27767-88498 were prime ok 41 - All returned values for 27767-88498 were in the range ok 42 - All returned values for 3-7 were prime ok 43 - All returned values for 3-7 were in the range ok 44 - All returned values for 20-100 were prime ok 45 - All returned values for 20-100 were in the range ok 46 - All returned values for 27767-88493 were prime ok 47 - All returned values for 27767-88493 were in the range ok 48 - All returned values for 17051688-17051898 were prime ok 49 - All returned values for 17051688-17051898 were in the range ok 50 - All returned values for 17051687-17051899 were prime ok 51 - All returned values for 17051687-17051899 were in the range ok 52 - All returned values for 27764-88493 were prime ok 53 - All returned values for 27764-88493 were in the range ok 54 - All returned values for 2-20 were prime ok 55 - All returned values for 2-20 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 '3' is in range and prime ok 85 - 2-digit random prime '17' is in range and prime ok 86 - 3-digit random prime '599' is in range and prime ok 87 - 4-digit random prime '4111' is in range and prime ok 88 - 5-digit random prime '15139' is in range and prime ok 89 - 6-digit random prime '163637' is in range and prime ok 90 - 7-digit random prime '3620819' is in range and prime ok 91 - 8-digit random prime '60277247' is in range and prime ok 92 - 9-digit random prime '549199597' is in range and prime ok 93 - 10-digit random prime '9128275313' is in range and prime ok 94 - 11-digit random prime '53847182743' is in range and prime ok 95 - 12-digit random prime '354926636173' is in range and prime ok 96 - 13-digit random prime '2477015062187' is in range and prime ok 97 - 14-digit random prime '82553237568667' is in range and prime ok 98 - 15-digit random prime '594613746805703' is in range and prime ok 99 - 16-digit random prime '4502149483896733' is in range and prime ok 100 - 17-digit random prime '40853552293466587' is in range and prime ok 101 - 18-digit random prime '947855306832325447' is in range and prime ok 102 - 19-digit random prime '8659241309656152011' is in range and prime ok 103 - 20-digit random prime '87686759637765040211' is in range and prime ok 104 - 21-digit random prime '208632057287198815033' is in range and prime ok 105 - 22-digit random prime '2326718323687341979667' is in range and prime ok 106 - 23-digit random prime '54892810336217761766849' is in range and prime ok 107 - 24-digit random prime '161057047926585375929069' is in range and prime ok 108 - 25-digit random prime '1956456685692720436510847' 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 '11' is in range and prime ok 112 - 5-bit random random 5-bit prime '19' is in range and prime ok 113 - 6-bit random random 6-bit prime '47' is in range and prime ok 114 - 10-bit random random 10-bit prime '829' is in range and prime ok 115 - 30-bit random random 30-bit prime '863884757' is in range and prime ok 116 - 31-bit random random 31-bit prime '1613446423' is in range and prime ok 117 - 32-bit random random 32-bit prime '3040991351' is in range and prime ok 118 - 33-bit random random 33-bit prime '6618256627' is in range and prime ok 119 - 34-bit random random 34-bit prime '13843839839' is in range and prime ok 120 - 62-bit random random 62-bit prime '3428256626256403771' is in range and prime ok 121 - 63-bit random random 63-bit prime '6822950804276059493' is in range and prime ok 122 - 64-bit random random 64-bit prime '16967388316802914909' is in range and prime ok 123 - 65-bit random random 65-bit prime '31657011596055179071' is in range and prime ok 124 - 66-bit random random 66-bit prime '54786877319890912661' is in range and prime ok 125 - 126-bit random random 126-bit prime '44368038535093442944070646947974601633' is in range and prime ok 126 - 127-bit random random 127-bit prime '90677055640415488763023633823783280217' is in range and prime ok 127 - 128-bit random random 128-bit prime '211585365530878330397693858306733025703' is in range and prime ok 128 - 129-bit random random 129-bit prime '527814946117801156291746053839165558319' is in range and prime ok 129 - 130-bit random random 130-bit prime '1032039833288898013569158994675092503049' is in range and prime ok 130 - 128-bit random random 128-bit strong prime '275763258267729686789671984207081237123' is in range and prime ok 131 - 255-bit random random 255-bit strong prime '42524411137238101063926389807056052618062735775060939506585486547574242814601' is in range and prime ok 132 - 256-bit random random 256-bit strong prime '103308175082571711898754334068593867908758624083106510618341295342795451821927' is in range and prime ok 133 - 512-bit random random 512-bit strong prime '7689573495844632242396276210413729316200517581687873669533010983056787018883515212879169944175612641590195099774307189480565779887917765421878475013587331' is in range and prime ok 134 - 2-bit random random 2-bit proven (Maurer) prime '2' is in range and prime ok 135 - 2-bit random random 2-bit proven (Shawe-Taylor) prime '2' is in range and prime ok 136 - 3-bit random random 3-bit proven (Maurer) prime '5' is in range and prime ok 137 - 3-bit random random 3-bit proven (Shawe-Taylor) prime '7' is in range and prime ok 138 - 4-bit random random 4-bit proven (Maurer) prime '13' is in range and prime ok 139 - 4-bit random random 4-bit proven (Shawe-Taylor) prime '11' is in range and prime ok 140 - 5-bit random random 5-bit proven (Maurer) prime '29' is in range and prime ok 141 - 5-bit random random 5-bit proven (Shawe-Taylor) prime '31' is in range and prime ok 142 - 6-bit random random 6-bit proven (Maurer) prime '61' is in range and prime ok 143 - 6-bit random random 6-bit proven (Shawe-Taylor) prime '43' is in range and prime ok 144 - 10-bit random random 10-bit proven (Maurer) prime '1009' is in range and prime ok 145 - 10-bit random random 10-bit proven (Shawe-Taylor) prime '797' is in range and prime ok 146 - 30-bit random random 30-bit proven (Maurer) prime '771879803' is in range and prime ok 147 - 30-bit random random 30-bit proven (Shawe-Taylor) prime '616482521' is in range and prime ok 148 - 31-bit random random 31-bit proven (Maurer) prime '1568493697' is in range and prime ok 149 - 31-bit random random 31-bit proven (Shawe-Taylor) prime '1588376969' is in range and prime ok 150 - 32-bit random random 32-bit proven (Maurer) prime '4033655207' is in range and prime ok 151 - 32-bit random random 32-bit proven (Shawe-Taylor) prime '3335518037' is in range and prime ok 152 - 33-bit random random 33-bit proven (Maurer) prime '6031434469' is in range and prime ok 153 - 33-bit random random 33-bit proven (Shawe-Taylor) prime '5209965379' is in range and prime ok 154 - 34-bit random random 34-bit proven (Maurer) prime '10146111163' is in range and prime ok 155 - 34-bit random random 34-bit proven (Shawe-Taylor) prime '12304054601' is in range and prime ok 156 - 62-bit random random 62-bit proven (Maurer) prime '2693154226088736911' is in range and prime ok 157 - 62-bit random random 62-bit proven (Shawe-Taylor) prime '4182226802796355727' is in range and prime ok 158 - 63-bit random random 63-bit proven (Maurer) prime '7230072893759753399' is in range and prime ok 159 - 63-bit random random 63-bit proven (Shawe-Taylor) prime '5207312490146575331' is in range and prime ok 160 - 64-bit random random 64-bit proven (Maurer) prime '11024351583356673949' is in range and prime ok 161 - 64-bit random random 64-bit proven (Shawe-Taylor) prime '15683964459485498849' is in range and prime ok 162 - 65-bit random random 65-bit proven (Maurer) prime '32532621365245604147' is in range and prime ok 163 - 65-bit random random 65-bit proven (Shawe-Taylor) prime '35492187719790585143' is in range and prime ok 164 - 66-bit random random 66-bit proven (Maurer) prime '47119244723166972233' is in range and prime ok 165 - 66-bit random random 66-bit proven (Shawe-Taylor) prime '45928767654737599003' is in range and prime ok 166 - 126-bit random random 126-bit proven (Maurer) prime '66662383938397968348133070407191514807' is in range and prime ok 167 - 126-bit random random 126-bit proven (Shawe-Taylor) prime '75735874031332996931465694340178935309' is in range and prime ok 168 - 127-bit random random 127-bit proven (Maurer) prime '124528631159411351726733934462454551243' is in range and prime ok 169 - 127-bit random random 127-bit proven (Shawe-Taylor) prime '117455330060899388101800321551741459497' is in range and prime ok 170 - 128-bit random random 128-bit proven (Maurer) prime '285307789386909763603764631944713040467' is in range and prime ok 171 - 128-bit random random 128-bit proven (Shawe-Taylor) prime '334645368238494425631894295575292199047' is in range and prime ok 172 - 129-bit random random 129-bit proven (Maurer) prime '396603219641718479228448536617526022277' is in range and prime ok 173 - 129-bit random random 129-bit proven (Shawe-Taylor) prime '585232741648993047736646391125216692823' is in range and prime ok 174 - 130-bit random random 130-bit proven (Maurer) prime '1293284201508831889984426666883744608553' is in range and prime ok 175 - 130-bit random random 130-bit proven (Shawe-Taylor) prime '1077654474851978873207399387691131609029' is in range and prime ok 176 - random 20-bit prime with seeded rng ok 177 - random 9-digit with seeded rng ok 178 - random Maurer prime ok 179 - random Maurer prime certificate ok 180 - random Shawe-Taylor prime ok 181 - 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}(6) ok 148 - sigma_{0..3}(7) ok 149 - sigma_{0..3}(1) ok 150 - sigma_{0..3}(0) ok 151 - sigma_{0..3}(2) ok 152 - sigma_{0..3}(8) ok 153 - sigma_{0..3}(5) ok 154 - sigma_{0..3}(2394823486) ok 155 - sigma_{0..3}(46) ok 156 - sigma_{0..3}(4) ok 157 - sigma_{0..3}(23948) ok 158 - sigma_{0..3}(189) ok 159 - sigma_{0..3}(3) ok 160 - divisors(1) in list context ok 161 - divisors(9283540924) ok 162 - scalar divisors(9283540924) = 12 # p-1 trying 22095311209999409685885162322219 (B1=214748364805000000 B2=72339069031481345) # 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=36, Tests=3156, 7 wallclock secs ( 0.24 usr 0.00 sys + 6.62 cusr 0.12 csys = 6.98 CPU) Result: PASS make[1]: Leaving directory '/build/libmath-prime-util-gmp-perl-0.51' create-stamp debian/debhelper-build-stamp fakeroot debian/rules binary dh binary dh_testroot dh_prep dh_auto_install make -j18 install DESTDIR=/build/libmath-prime-util-gmp-perl-0.51/debian/libmath-prime-util-gmp-perl AM_UPDATE_INFO_DIR=no PREFIX=/usr make[1]: Entering directory '/build/libmath-prime-util-gmp-perl-0.51' "/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-0.51/debian/libmath-prime-util-gmp-perl/usr/lib/i386-linux-gnu/perl5/5.28/auto/Math/Prime/Util/GMP/GMP.so Installing /build/libmath-prime-util-gmp-perl-0.51/debian/libmath-prime-util-gmp-perl/usr/lib/i386-linux-gnu/perl5/5.28/Math/Prime/Util/GMP.pm Installing /build/libmath-prime-util-gmp-perl-0.51/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-0.51' dh_installdocs dh_installchangelogs debian/rules override_dh_installexamples make[1]: Entering directory '/build/libmath-prime-util-gmp-perl-0.51' dh_installexamples find /build/libmath-prime-util-gmp-perl-0.51/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-0.51' dh_installman dh_perl dh_link dh_strip_nondeterminism dh_compress dh_fixperms dh_missing dh_strip dh_makeshlibs dh_shlibdeps dh_installdeb dh_gencontrol dh_md5sums dh_builddeb dpkg-deb: building package 'libmath-prime-util-gmp-perl' in '../libmath-prime-util-gmp-perl_0.51-1_i386.deb'. dpkg-deb: building package 'libmath-prime-util-gmp-perl-dbgsym' in '../libmath-prime-util-gmp-perl-dbgsym_0.51-1_i386.deb'. dpkg-genbuildinfo --build=binary dpkg-genchanges --build=binary >../libmath-prime-util-gmp-perl_0.51-1_i386.changes dpkg-genchanges: info: binary-only upload (no source code included) dpkg-source --after-build . dpkg-buildpackage: info: binary-only upload (no source included) I: copying local configuration I: user script /srv/workspace/pbuilder/4067/tmp/hooks/B01_cleanup starting I: user script /srv/workspace/pbuilder/4067/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/4067 and its subdirectories I: Current time: Wed Jul 22 14:17:44 +14 2020 I: pbuilder-time-stamp: 1595377064