Computational

Algorithm Design Manual - Number Theoretic Algorithms
A chapter from "The Algorithm Design Manual" by Steven S. Skiena.
http://www.cs.sunysb.edu/~algorith/major_section/1.2.shtml

Algorithmic Number Theory
Notes by Al Sethuraman.
http://www.csun.edu/~asethura/notes.html

Basics of Computational Number Theory
Notes and Javascript illustrations by Robert Campbell.
http://www.math.umbc.edu/~campbell/NumbThy/Class/BasicNumbThy.html

Computational Number Theory
Lecture notes by Robert Campbell, December 1997.
http://www.math.umbc.edu/~campbell/NumbThy/Class/

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.
http://www.ieeta.pt/~tos/hobbies.html

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.
http://aimath.org/WWN/primesinp/

Implementations of Extended LLL
Links and notes by Wilberd van der Kallen.
http://www.math.uu.nl/people/vdkallen/lllimplementations.html

The LLL Algorithm
Papers on the LLL algorithm and its applications collected by François Koeune.
http://www.dice.ucl.ac.be/~fkoeune/LLL.html

LLL Page
Maintained by Keith Matthews. Papers, examples, pseudocode.
http://www.numbertheory.org/lll.html

Some Number Records
Connected with divisibility and factoring.
http://www.loria.fr/~zimmerma/records/

Suggested Readings in Algorithmic Number Theory
Provided by the organizers of the MSRI Fall 2000 research program.
http://www.msri.org/local/library/reading_lists/0001-ant.html

Visible Euclidean Algorithm
Enter two positive integers, and click the button to see the operations of the Euclidean Algorithm.
http://www.math.umn.edu/~garrett/crypto/a01/Euclid.html