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Pari-GP (15)
UBASIC (6)

Elliptic Curves and Modular Forms@ (9)
Primality Proving@ (9)

See also:

Computers: Algorithms: Computational Algebra (56)
Science: Math: Algebra: Software (52)
Science: Math: Software (491)

$http://archives.math.utk.edu/software/msdos/dynamics/aliquot/.html$

» Aliquot - A DOS tool to compute aliquot chains with small starting numbers, by Ivo Düntsch.

» apfloat - High-performance arbitrary precision arithmetic package for C++ and Java.

http://www.mathematik.uni-muenchen.de/~forster/sw/aribas.html

» 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.numbertheory.org/calc/krm_calc.html

» 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.

» cBigNumber - Portable C++ class for integers with unlimited range, designed to be fast, functional and simple in use.

» CLN - Class Library for Numbers - C++ library by Bruno Haible.

http://www.loria.fr/~zimmerma/records/ecmnet.html

» ECMNET - Elliptic curve factoring software.

http://sourceforge.net/projects/eisseeker

» 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://www.hermetic.ch/factors/factors.htm

» 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.

» GIMPS FAQ list - About the Mersenne Prime Freeware.

http://www.numbertheory.org/gnubc/gnubc.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.

$http://www.math.uu.nl/people/vdkallen/lllimplementations.html$

» Implementations of Extended LLL - By Wilberd van der Kallen.

$http://www.math.miami.edu/~phaser$

» Java PHASER Project - An application for numerically and graphically analyzing dynamical systems.

$http://www.math.tu-berlin.de/~kant/kash.html$

» 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.

» Kaprekar Series Generator - A java application for determining the Kaprekar Constants and Series for numbers in various radixes.

$http://pmmac03.math.uwaterloo.ca/~mrubinst/L_function_public/L.html$

» L - A C++ class library, datasets and command line program for computing zeros and values of L-functions, by Michael Rubinstein.

» Large Number Arithmetic in BASIC - Library for large-integer arithmetic, plus some number theory modules.

http://www.cdc.informatik.tu-darmstadt.de/TI/LiDIA/

» LiDIA - C++ Library For Computational Number Theory.

» Magma Computational Algebra System Home Page - A large, well-supported software package for computationally hard problems in algebra, number theory, geometry and combinatorics.

» MAGMA/PARI Calculator - Web interface for short programs in either language.

http://www.spd.dcu.ie/johnbcos/Maple.htm

» Maple Worksheets by John Cosgrave - A selection of Maple (V.5) worksheets for teaching purposes.

$http://archives.math.utk.edu/software/mac/numberTheory/.directory.html$

» Math Archives Software - Mac/Number Theory section.

$http://archives.math.utk.edu/software/msdos/number.theory$

» Math Archives Software - PC/Number Theory section.

» MIRACL - Multiprecision Integer and Rational Arithmetic C/C++ Library.

http://crd.lbl.gov/~dhbailey/mpdist/mpdist.html

» Multiprecision Software Directory - Fortran multiprecision software by David H. Bailey of Lawrence Berkeley Lab.

» 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.iaeste.dk/~henrik/projects/nfsnet.html

» Number Field Sieve NET - A client/server system for NFSNET by Henrik Olsen.

» Number-Theoretic Hacks - Algorithms implemented by David Eppstein.

$http://tnt.math.metro-u.ac.jp/nzmath/$

» NZMATH - Python based number theory oriented calculation system, developed at Tokyo Metropolitan University. Downloads, mailing list.

http://library.wolfram.com/infocenter/MathSource/556/

» p-adic Arithmetic - A Mathematica package by Stany De Smedt.

http://www.geocities.com/Hollywood/2979/ntheory.html

» Paul's TI-92 Number Theory Archive - Download site for number theory programs adapted from UBASIC/MALM for the TI-92.

» 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.

» Schulenberg and Associates - Factoring programs. Windows, free download.

$http://tnt.math.metro-u.ac.jp/simath/$

» SIMATH - Computer algebra system for number theoretic applications.

» ZEN - A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL.

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