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Computational: English: Science: Math: Number Theory:

Computational: Algorithmic - or Computational - Number Theory studies algorithms for performing number theoretic calculations such as highest common factor - factorisation or testing for primality. Math Number Theory Computational:
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Factoring: Factoring
Primality Tests: Tests

English Computers Algorithms: Computational Algebra
English Computers Computer Science Distributed Computing Projects: Cryptography
English Science Math Number Theory: Software
English Science Math Number Theory: Tables

Suggested Readings in Algorithmic Number Theory - Computational
Science: Suggested, Number Theory Computational
Provided by the organizers of the MSRI Fall 2000 research program Readings in Algorithmic Number Theory Computational .
Visible Euclidean Algorithm - Computational
Science: Visible, Number Theory Computational
Enter two positive integers Euclidean Algorithm Computational and click the button to see the operations of the Euclidean Algorithm.
Some Number Records
Science: Some, Number Theory Computational
Connected with divisibility and factoring Number Records .
Future Directions in Algorithmic Number Theory
Science: Future, Number Theory Computational
Some of the conjectures and open problems motivated by the "PRIMES is in P" papers Directions in Algorithmic Number Theory compiled at the AIM.
Implementations of Extended LLL - Computational
Science: Implementations, Number Theory Computational
Links and notes by Wilberd van der Kallen of Extended LLL Computational .
The LLL Algorithm
Science: The LLL, Number Theory Computational
Papers on the LLL algorithm and its applications collected by François Koeune Algorithm .
Algorithmic Number Theory
Science: Algorithmic, Number Theory Computational
Notes by Al Sethuraman Number Theory .
Computational Number Theory - Computational
Science: Computational, Number Theory Computational
Lecture notes by Robert Campbell Number Theory Computational December 1997.
LLL Page
Science: LLL Page, Number Theory Computational
Maintained by Keith Matthews LLL Page Papers, examples, pseudocode.
Computational Projects in Number Theory - Computational
Science: Computational, Number Theory Computational
Interesting problems Projects in Number Theory Computational usually requiring extensive verifications or enumerations, to occupy the idle CPU time of workstations and personal computers. Compiled by Tomás Oliveira e Silva.
CLINT
Science: CLINT, Number Theory Computational
Hugh Montgomery's Computational Laboratories in Number Theory CLINT TeX files and Pascal source code.
Basics of Computational Number Theory - Computational
Science: Basics, Number Theory Computational
Notes and Javascript illustrations by Robert Campbell of Computational Number Theory Computational .
Algorithm Design Manual - Number Theoretic Algorithms
Science: Algorithm, Number Theory Computational
A chapter from "The Algorithm Design Manual" by Steven S Design Manual Number Theoretic Algorithms Skiena.
Seventeen Or Bust
Science: Seventeen, Number Theory Computational
· A distributed attack on the Sierpinski problem Or Bust trying to find the last remaining 17 numbers.
The Riesel Sieve Project
Science: The Riesel, Number Theory Computational
· Distributed project to help solve the Riesel problem through the use of donated unused CPU cycles Sieve Project .
FactorWorld
Science: FactorWorld, Number Theory Computational
· Dedicated to algorithms and computational results on integer factorization FactorWorld Includes links to papers, downloadable software, and online resources.
Sierpinski Problem - Computational
Science: Sierpinski, Number Theory Computational
· Sierpinski proved there exist infinitely many odd integers k such that k*2^n+1 is composite for every n Problem Computational Ray Ballinger coordinates a search to prove or disprove whether k=78557 is the smallest solution.
Primality Testing - Computational
Science: Primality, Number Theory Computational
· The problem of primality testing and factorization are two distinct problems Testing Computational If we concentrate on primality testing, we never need to know the actual factors. The only question to be answered is "is the number in question prime or composite.".
PRIMES Is In P - Computational
Science: PRIMES, Number Theory Computational
· A deterministic polynomial time primality test Is In P Computational developed by Manindra Agarwal, Nitin Saxena and Neeraj Kayal of IIT Kanpur. Preprint in PS/PDF and links to media reports.
Aliquot - Computational
Science: Aliquot, Number Theory Computational
· A DOS tool to compute aliquot chains with small starting numbers Computational by Ivo Düntsch.
SIMATH - Computational
Science: SIMATH, Number Theory Computational
· Computer algebra system for number theoretic applications Computational .
Number Field Tables - Computational
Science: Number, Number Theory Computational
· FTP site at the University of Bordeaux Field Tables Computational Fields of degree up to 7.
Tables of Number Fields - Computational
Science: Tables, Number Theory Computational
· Hilbert class field of totally real fields of degree 2 of Number Fields Computational 3 and 4; Totally real fields with small root discriminant; Totally real quintic dihedral fields. By Xavier-François Roblot.
Three Years of Computing - Computational
Math Number Theory
- Palindrome Quest Years of Computing Computational Reporting computations on the 196 problem.
About Two Months of Computing
Math Number Theory
- Work on the 196 palindrome problem by Tim Irvin Two Months of Computing .
Lehmer's Conjecture - Computational
Math Number Theory
- That the Mahler measure of an algebraic number is bounded away from 1 Conjecture Computational Pages by Michael Mossinghoff, UCLA.
The Arithmetic Properties of Binomial Coefficients
Math Number Theory
- Activated text by Andrew Granville Properties of Binomial Coefficients .
Number Theory Foundation - Computational
Math Number Theory
- Aims to collect donations from supporters of number theory and to disburse these donations to encourage research Theory Foundation Computational .


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