Software (Number Theory)

Software further on these related pages:

Elliptic Curves and Modular Forms@ Pari-GP Primality Proving@ UBASIC

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Software Sites:

Mersenne Prime Freeware Mersenne Prime Freeware: Freeware to search for Mersenne Primes. Pointers to FreeLIP, GMP, HFloat, apfloat, CALC. (Software) http://www.samurai.com/mersenne/freeware.html Number Field Sieve NET Number Field Sieve NET: A client/server system for NFSNET by Henrik Olsen. (Software) http://www.iaeste.dk/~henrik/projects/nfsnet.html Software Packages of Interest to Number Theory Software Packages of Interest to Number Theory: Links maintained by John Cremona. (Software) http://www.maths.nott.ac.uk/personal/jec/packages.html Multiprecision Software Directory Multiprecision Software Directory: Fortran multiprecision software by David H. Bailey of Lawrence Berkeley Lab. (Software) http://www.nersc.gov/~dhbailey/mpdist/mpdist.html Number-Theoretic Hacks Number-Theoretic Hacks: Algorithms implemented by David Eppstein. (Software) http://www.ics.uci.edu/~eppstein/numth/ LiDIA LiDIA: C++ Library For Computational Number Theory. (Software) http://www.informatik.tu-darmstadt.de/TI/LiDIA/ Factorizer 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 v (Software) http://www.hermetic.ch/factors/factors.htm Encyclopedia of Integer Sequences Seeker 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. (Software) http://sourceforge.net/projects/eisseeker A2X Logiciels A2X Logiciels: FTP site for Pari/GP and GALP. (Software) http://www.ufr-mi.u-bordeaux.fr/A2X/Logiciels.html Schulenberg and Associates Schulenberg and Associates: Factoring programs. Windows, free download. (Software) http://www.schulenberg.com/ GNU MP Home Page GNU MP Home Page: Free library for arbitrary precision arithmetic. (Software) http://www.swox.com/gmp/ ARIBAS 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. (Software) http://www.mathematik.uni-muenchen.de/~forster/sw/aribas.html Implementations of Extended LLL Implementations of Extended LLL: By Wilberd van der Kallen. (Software) http://www.math.uu.nl/people/vdkallen/lllimplementations.html Galois Galois: An algebra/number theory package by R. Lidl, R. W. Matthews and R. Wells. (Software) http://www.riaca.win.tue.nl/archive/can/SystemsOverview/Special/NumberTheory/Galois.html Math Archives Software Math Archives Software: Mac/Number Theory section. (Software) http://archives.math.utk.edu/software/mac/numberTheory/.directory.html giantint giantint: Library of routines for large integer arithmetic and number theory. (Software) http://www.perfsci.com/free/giantint/index.html MIRACL MIRACL: Multiprecision Integer and Rational Arithmetic C/C++ Library. (Software) http://indigo.ie/~mscott/ Java PHASER Project Java PHASER Project: An application for numerically and graphically analyzing dynamical systems. (Software) http://www.math.miami.edu/~phaser CALC 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. (Software) http://www.numbertheory.org/calc/krm_calc.html GNUBC 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. (Software) http://www.numbertheory.org/gnubc/gnubc.html NZMATH NZMATH: Python based number theory oriented calculation system, developed at Tokyo Metropolitan University. Downloads, mailing list. (Software) http://tnt.math.metro-u.ac.jp/nzmath/ FTP Sites, Calculator Programs and Archives FTP Sites, Calculator Programs and Archives: In the Number Theory Web. (Software) http://www.maths.uq.edu.au/~krm/N1.html apfloat apfloat: High-performance arbitrary precision arithmetic package for C++ and Java. (Software) http://www.apfloat.org/ ECMNET ECMNET: Elliptic curve factoring software. (Software) http://www.loria.fr/~zimmerma/records/ecmnet.html Aliquot Aliquot: A DOS tool to compute aliquot chains with small starting numbers, by Ivo Düntsch. (Software) http://archives.math.utk.edu/software/msdos/dynamics/aliquot/.html SIMATH SIMATH: Computer algebra system for number theoretic applications. (Software) http://tnt.math.metro-u.ac.jp/simath/ KANT / KASH 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. (Software) http://www.math.tu-berlin.de/~kant/kash.html NTL: A Library for doing Number Theory 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. (Software) http://www.shoup.net/ntl/ Magma Computational Algebra System Home Page Magma Computational Algebra System Home Page: A large, well-supported software package for computationally hard problems in algebra, number theory, geometry and combinatorics. (Software) http://magma.maths.usyd.edu.au/ HiPiLib - High Performance Libraries HiPiLib - High Performance Libraries: Home of PIOLOGIE, a library for arbitrary precision arithmetic, operating on natural, integer and rational numbers. (Software) http://www.hipilib.de/ MAGMA/PARI Calculator MAGMA/PARI Calculator: Web interface for short programs in either language. (Software) http://modular.fas.harvard.edu/calc/ GIMPS FAQ list GIMPS FAQ list: About the Mersenne Prime Freeware. (Software) http://www.mersenne.org/faq.htm Paul's TI-92 Number Theory Archive Paul's TI-92 Number Theory Archive: Download site for number theory programs adapted from UBASIC/MALM for the TI-92. (Software) http://www.geocities.com/Hollywood/2979/ntheory.html Jim Howell Software Jim Howell Software: Large integer arithmetic. (Software) http://home.netcom.com/~jrhowell/math/software.htm Large Number Arithmetic in BASIC Large Number Arithmetic in BASIC: Library for large-integer arithmetic, plus some number theory modules. (Software) http://www.home.zonnet.nl/vspickelen/Largefiles/LargeInt.htm Maple Worksheets by John Cosgrave Maple Worksheets by John Cosgrave: A selection of Maple (V.5) worksheets for teaching purposes. (Software) http://www.spd.dcu.ie/johnbcos/Maple.htm CLN - Class Library for Numbers CLN - Class Library for Numbers: C++ library by Bruno Haible. (Software) http://www.ginac.de/CLN/ p-adic Arithmetic p-adic Arithmetic: A Mathematica package by Stany De Smedt. (Software) http://www.mathsource.com/Content/Applications/Mathematics/0208-392 ZEN ZEN: A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL. (Software) http://fchabaud.free.fr/English/ZEN/