 Implementations of Extended LLL - http://www.math.uu.nl/people/vdkallen/lllimplementations.html By Wilberd van der Kallen. |
 p-adic Arithmetic - http://library.wolfram.com/infocenter/MathSource/556/ A Mathematica package by Stany De Smedt. |
 ZEN - http://fchabaud.free.fr/English/ZEN/ A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL. |
 Schulenberg and Associates - http://www.schulenberg.com/ Factoring programs. Windows, free download. |
 Java PHASER Project - http://www.math.miami.edu/~phaser An application for numerically and graphically analyzing dynamical systems. |
 MAGMA/PARI Calculator - http://modular.fas.harvard.edu/calc/ Web interface for short programs in either language. |
 SAGE - http://modular.fas.harvard.edu/SAGE/ System for Arithmetic Geometry Experimentation: a framework for number theory, algebra, and geometry, initially designed for computing with elliptic curves and modular forms, by William Stein. Open source under GPL. |
 NTL: A Library for doing Number Theory - http://www.shoup.net/ntl/ 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. |
 Number-Theoretic Hacks - http://www.ics.uci.edu/~eppstein/numth/ Algorithms implemented by David Eppstein. |
 ECMNET - http://www.loria.fr/~zimmerma/records/ecmnet.html Elliptic curve factoring software. |
 cBigNumber - http://www.imach.uran.ru/cbignum/ Portable C++ class for integers with unlimited range, designed to be fast, functional and simple in use. |
 Large Number Arithmetic in BASIC - http://largeint.sourceforge.net/ Library for large-integer arithmetic, plus some number theory modules. |
 Kaprekar Series Generator - http://kaprekar.sourceforge.net/ A java application for determining the Kaprekar Constants and Series for numbers in various radixes. |
 Encyclopedia of Integer Sequences Seeker - http://sourceforge.net/projects/eisseeker 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. |
 CLN - Class Library for Numbers - http://www.ginac.de/CLN/ C++ library by Bruno Haible. |
 Magma Computational Algebra System Home Page - http://magma.maths.usyd.edu.au/ A large, well-supported software package for computationally hard problems in algebra, number theory, geometry and combinatorics. |
 GNUBC - http://www.numbertheory.org/gnubc/gnubc.html 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. |
 CALC - http://www.numbertheory.org/calc/krm_calc.html 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. |
 Math Archives Software - http://archives.math.utk.edu/software/msdos/number.theory PC/Number Theory section. |
 Aliquot - http://archives.math.utk.edu/software/msdos/dynamics/aliquot/.html A DOS tool to compute aliquot chains with small starting numbers, by Ivo Düntsch. |
 Math Archives Software - http://archives.math.utk.edu/software/mac/numberTheory/.directory.html Mac/Number Theory section. |
 Number Field Sieve NET - http://www.iaeste.dk/~henrik/projects/nfsnet.html A client/server system for NFSNET by Henrik Olsen. |
 L - http://pmmac03.math.uwaterloo.ca/~mrubinst/L_function_public/L.html A C++ class library, datasets and command line program for computing zeros and values of L-functions, by Michael Rubinstein. |
 apfloat - http://www.apfloat.org/ High-performance arbitrary precision arithmetic package for C++ and Java. |
 KANT / KASH - http://www.math.tu-berlin.de/~kant/kash.html 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. |
 ARIBAS - http://www.mathematik.uni-muenchen.de/~forster/sw/aribas.html 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. |
 LiDIA - http://www.cdc.informatik.tu-darmstadt.de/TI/LiDIA/ C++ Library For Computational Number Theory. |
 Maple Worksheets by John Cosgrave - http://www.spd.dcu.ie/johnbcos/Maple.htm A selection of Maple (V.5) worksheets for teaching purposes. |
 Factorizer - http://www.hermetic.ch/factors/factors.htm 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. |
 MIRACL - http://indigo.ie/~mscott/ Multiprecision Integer and Rational Arithmetic C/C++ Library. |
 SIMATH - http://tnt.math.metro-u.ac.jp/simath/ Computer algebra system for number theoretic applications. |
 NZMATH - http://tnt.math.metro-u.ac.jp/nzmath/ Python based number theory oriented calculation system, developed at Tokyo Metropolitan University. Downloads, mailing list. |
 Multiprecision Software Directory - http://crd.lbl.gov/~dhbailey/mpdist/mpdist.html Fortran multiprecision software by David H. Bailey of Lawrence Berkeley Lab. |