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Algorithmic, or Computational, Number Theory studies algorithms for performing number theoretic calculations such as highest common factor, factorisation or testing for primality.

Factoring@	Primality_Tests@
Computational Algebra	Cryptography
Software	Tables

• Algorithm Design Manual - Number Theoretic Algorithms A chapter from "The Algorithm Design Manual" by Steven S. Skiena.
• Algorithmic Number Theory Notes by Al Sethuraman.
• Basics of Computational Number Theory Notes and Javascript illustrations by Robert Campbell.
• Computational Number Theory Lecture notes by Robert Campbell, December 1997.
• Computational 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.
• Future Directions in Algorithmic Number Theory Some of the conjectures and open problems motivated by the "PRIMES is in P" papers, compiled at the AIM.
• Implementations of Extended LLL Links and notes by Wilberd van der Kallen.
• Implementations of Extended LLL By Wilberd van der Kallen.
• LLL Page Maintained by Keith Matthews. Papers, examples, pseudocode.
• Some Number Records Connected with divisibility and factoring.
• Suggested Readings in Algorithmic Number Theory Provided by the organizers of the MSRI Fall 2000 research program.
• The LLL Algorithm Papers on the LLL algorithm and its applications collected by François Koeune.
• Visible Euclidean Algorithm Enter two positive integers, and click the button to see the operations of the Euclidean Algorithm.

 

 

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