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Aliquot Sequences
Offers an effort to extend the aliquot sequence which begins with integers greater than 1000 and is not yet known to terminate.
http://www.loria.fr/~zimmerma/records/aliquot.html
Cunningham Project
Provides an introduction to the Cunningham Project, which seeks to factor numbers of the form b^n +/- 1 for 2 <= b <= 12 up to high powers n.
http://www.cerias.purdue.edu/homes/ssw/cun/index.html
ECMNET
Find tools and data for elliptic-curve factorization. Includes a historical overview, goals and a bibliography.
http://www.loria.fr/~zimmerma/records/ecmnet.html
Equal sums of like powers
Find a project that seeks solutions to the Diophantine equation involving equal sums of like powers. Includes downloadable software programs.
http://euler.free.fr/index.htm
Great Internet Mersenne Prime Search
Find an Internet-based project about Mersenne primes, or "perfect numbers" Includes links to other distributed computing projects.
http://www.mersenne.org/prime.htm

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