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A2X Logiciels
FTP site for Pari/GP and GALP.
http://www.ufr-mi.u-bordeaux.fr/A2X/Logiciels.html
KANT / KASH
KANT is a software package for sophisticated computations in number fields and in global function fields. With KASH you are able to use the powerful KANT V4 functions within a shell.
http://www.math.tu-berlin.de/~kant/kash.html
LiDIA
C++ Library For Computational Number Theory.
http://www.informatik.tu-darmstadt.de/TI/LiDIA/
ARIBAS
An interactive interpreter for big integer and multi-precision floating point arithmetic with a Pascal/Modula like syntax. It has several builtin functions for algorithmic number theory.
http://www.mathematik.uni-muenchen.de/~forster/sw/aribas.html
Maple Worksheets by John Cosgrave
A selection of Maple (V.5) worksheets for teaching purposes.
http://www.spd.dcu.ie/johnbcos/Maple.htm
Jim Howell Software
Large integer arithmetic.
http://home.netcom.com/~jrhowell/math/software.htm
Java PHASER Project
An application for numerically and graphically analyzing dynamical systems.
http://www.math.miami.edu/~phaser
CALC
A calculator program for doing arbitrary precision integer arithmetic, written in ANSI C and Yacc, with a number of built-in functions for number theory, by Keith Matthews.
http://www.numbertheory.org/calc/krm_calc.html
GNUBC
Supports arbitrary precision integer arithmetic calculations with interactive execution: it is a superior version of the basic bc program which comes with the UNIX operating system. Keith Matthews has written several number-theoretic programs.
http://www.numbertheory.org/gnubc/gnubc.html
Factorizer
A Windows program to find all factors of any positive integer less than 2^31 - 1; decompose numbers into their prime constituents; find prime numbersand pairs of primes; and to plot Erdos-Kac and Palmen Color histograms. Down load free demo, order full version online.
http://www.hermetic.ch/factors/factors.htm
MAGMA/PARI Calculator
Web interface for short programs in either language.
http://modular.fas.harvard.edu/calc/
Large Number Arithmetic in BASIC
Library for large-integer arithmetic, plus some number theory modules.
http://www.home.zonnet.nl/vspickelen/Largefiles/LargeInt.htm
Magma Computational Algebra System Home Page
A large, well-supported software package for computationally hard problems in algebra, number theory, geometry and combinatorics.
http://magma.maths.usyd.edu.au/
NZMATH
Python based number theory oriented calculation system, developed at Tokyo Metropolitan University. Downloads, mailing list.
http://tnt.math.metro-u.ac.jp/nzmath/
Encyclopedia of Integer Sequences Seeker
EIS-Seeker is a libguile-based scheme interpreter devoted to the study of the Encyclopedia of Integer Sequences database. It is intended to help find new relations between sequences. C/Scheme, Posix.
http://sourceforge.net/projects/eisseeker
apfloat
High-performance arbitrary precision arithmetic package for C++ and Java.
http://www.apfloat.org/
SIMATH
Computer algebra system for number theoretic applications.
http://tnt.math.metro-u.ac.jp/simath/
Galois
An algebra/number theory package by R. Lidl, R. W. Matthews and R. Wells.
http://www.riaca.win.tue.nl/archive/can/SystemsOverview/Special/NumberTheory/Galois.html
NTL: A Library for doing Number Theory
A high-performance, portable C++ library providing data structures and algorithms for manipulating signed, arbitrary length integers, and for vectors, matrices, and polynomials over the integers and over finite fields.
http://www.shoup.net/ntl/
Implementations of Extended LLL
By Wilberd van der Kallen.
http://www.math.uu.nl/people/vdkallen/lllimplementations.html
Math Archives Software
PC/Number Theory section.
http://archives.math.utk.edu/software/msdos/number.theory
giantint
Library of routines for large integer arithmetic and number theory.
http://www.perfsci.com/free/giantint/index.html
MIRACL
Multiprecision Integer and Rational Arithmetic C/C++ Library.
http://indigo.ie/~mscott/
Software Packages of Interest to Number Theory
Links maintained by John Cremona.
http://www.maths.nott.ac.uk/personal/jec/packages.html
GNU MP Home Page
Free library for arbitrary precision arithmetic.
http://www.swox.com/gmp/
Math Archives Software
Mac/Number Theory section.
http://archives.math.utk.edu/software/mac/numberTheory/.directory.html
FTP Sites, Calculator Programs and Archives
In the Number Theory Web.
http://www.maths.uq.edu.au/~krm/N1.html
GIMPS FAQ list
About the Mersenne Prime Freeware.
http://www.mersenne.org/faq.htm
ECMNET
Elliptic curve factoring software.
http://www.loria.fr/~zimmerma/records/ecmnet.html
Mersenne Prime Freeware
Freeware to search for Mersenne Primes. Pointers to FreeLIP, GMP, HFloat, apfloat, CALC.
http://www.samurai.com/mersenne/freeware.html
HiPiLib - High Performance Libraries
Home of PIOLOGIE, a library for arbitrary precision arithmetic, operating on natural, integer and rational numbers.
http://www.hipilib.de/
Schulenberg and Associates
Factoring programs. Windows, free download.
http://www.schulenberg.com/
CLN - Class Library for Numbers
C++ library by Bruno Haible.
http://www.ginac.de/CLN/
Number-Theoretic Hacks
Algorithms implemented by David Eppstein.
http://www.ics.uci.edu/~eppstein/numth/
Number Field Sieve NET
A client/server system for NFSNET by Henrik Olsen.
http://www.iaeste.dk/~henrik/projects/nfsnet.html
Aliquot
A DOS tool to compute aliquot chains with small starting numbers, by Ivo Düntsch.
http://archives.math.utk.edu/software/msdos/dynamics/aliquot/.html
Paul's TI-92 Number Theory Archive
Download site for number theory programs adapted from UBASIC/MALM for the TI-92.
http://www.geocities.com/Hollywood/2979/ntheory.html
Multiprecision Software Directory
Fortran multiprecision software by David H. Bailey of Lawrence Berkeley Lab.
http://www.nersc.gov/~dhbailey/mpdist/mpdist.html
p-adic Arithmetic
A Mathematica package by Stany De Smedt.
http://www.mathsource.com/Content/Applications/Mathematics/0208-392
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