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Explore: Computational, Number Theory

Algorithmic, or Computational, Number Theory studies algorithms for performing number theoretic calculations such as highest common factor, factorisation or testing for primality....
This page was last updated on June 26th, 2008
Computational (from Number Theory)
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Suggested Readings in Algorithmic Number TheorySuggested Readings in Algorithmic Number Theory
Provided by the organizers of the MSRI Fall 2000 research program.
Some Number RecordsSome Number Records
Connected with divisibility and factoring.
Algorithmic Number TheoryAlgorithmic Number Theory
Notes by Al Sethuraman.
Future Directions in Algorithmic Number TheoryFuture Directions in Algorithmic Number Theory
Some of the conjectures and open problems motivated by the "PRIMES is in P" papers, compiled at the AIM.
Computational Number TheoryComputational Number Theory
Lecture notes by Robert Campbell, December 1997.
Visible Euclidean AlgorithmVisible Euclidean Algorithm
Enter two positive integers, and click the button to see the operations of the Euclidean Algorithm.
CLINTCLINT
Hugh Montgomery's Computational Laboratories in Number Theory. TeX files and Pascal source code.
Algorithm Design Manual - Number Theoretic AlgorithmsAlgorithm Design Manual - Number Theoretic Algorithms
A chapter from "The Algorithm Design Manual" by Steven S. Skiena.
The LLL AlgorithmThe LLL Algorithm
Papers on the LLL algorithm and its applications collected by François Koeune.
Implementations of Extended LLLImplementations of Extended LLL
Links and notes by Wilberd van der Kallen.
Computational Projects in Number TheoryComputational Projects in Number Theory
Interesting problems, usually requiring extensive verifications or enumerations, to occupy the idle CPU time of workstations and personal computers. Compiled by Tomás Oliveira e Silva.
LLL PageLLL Page
Maintained by Keith Matthews. Papers, examples, pseudocode.
Basics of Computational Number TheoryBasics of Computational Number Theory
Notes and Javascript illustrations by Robert Campbell.

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