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Elliptic Curves and Modular Forms
*(7)
Primality Proving
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Pari-GP
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UBASIC
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A2X Logiciels
- FTP site for Pari/GP and GALP.
APFLOAT
- High-performance C++ arbitrary precision arithmetic package.
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.
Aliquot
- A DOS tool to compute aliquot chains with small starting numbers, by Ivo Düntsch.
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.
CLN - Class Library for Numbers
- C++ library by Bruno Haible.
Computational Laboratories in Number Theory (CLINT)
- FTP site for software and text supporting this number theory laboratory class by Hugh Montomery.
ECMNET
- Project to factor numbers using the elliptic curve method. Client and server software.
FTP Sites, Calculator Programs and Archives
- In the Number Theory Web.
Factorizer
- A Windows program to find all factors of any positive integer less than 2^31 - 1, to decompose numbers into their prime constituents and to find prime numbers. Order online.
Factorizer: A Factoring Program
- A Windows program to find the factors of any positive integer less than 2^31 - 1 and find prime numbers.
GIMPS FAQ list
- About the Mersenne Prime Freeware.
GNU MP Home Page
- Free library for arbitrary precision arithmetic.
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.
Galois
- An algebra/number theory package by R. Lidl, R. W. Matthews, and R. Wells
HiPiLib - High Performance Libraries
- Home of PIOLOGIE, a library for arbitrary precision arithmetic, operating on natural, integer and rational numbers.
Huge Integer Tools
- Marcel Martin's multiprecision arithmetic tools for Delphi. The ECPP program Certifix for Windows is available from this site.
Implementations of Extended LLL
- Links and notes by Wilberd van der Kallen.
IntBasis
- Algorithms coded in Maple for computing with algebraic curves. The main algorithm computes an integral basis of an algebraic function field using Puiseux expansions.
Jim Howell Software
- Large integer arithmetic.
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