http://www.asahi-net.or.jp/~KC2H-MSM/cn/index.htm
http://www.rechenkraft.net/wiki/index.php?...lotomic_Numbers
Find factorizations of cyclotomic numbers at Factorizations of Cyclotomic Numbers. This site doesn't appear to be organized as an official distributed computing project and doesn't have any precompiled client software or explicit instructions for participating, so it is probably best suited for people who understand the Mathematical principles behind the project and how to compile source code.
The Phi(92) series was completely factored by November 2, 2002: the last composite number was factored by Tetsuya Kobayashi on that date. Katsuyuki Okeya finished the Phi(61) and Phi(122) series on December 30, 2002. The Phi(69) series was completely factored by January 12, 2003: the last composite number was factored by Alexander Kruppa. The Phi(112) series is completely factored as of September 25, 2004. The Phi(144) series is completely factored as of October 12, 2004. The Phi(104) series is completely factored as of November 30, 2004. The Phi(168) series is completely factored as of December 24, 2004. The Phi(180) series is completely factored as of January 18, 2005. The Phi(65) series is completely factored as of February 9, 2005. The Phi(130) series is completely factored as of February 26, 2005. The Phi(156) series is completely factored as of March 6, 2005. The Phi(210) series is completely factored as of March 22, 2005. The Phi(53) series is completely factored as of July 1, 2006. The Phi(198) series is completely factored as of September 13, 2008. The Phi(118) series is completely factored as of September 22, 2008.
To participate in the project, you can download and compile a GMP or UBASIC factorization program, view a page of reserved numbers, then select a range of numbers to factorize and send email to Hisanori Mishima with the range information.
Read a paper about cyclotomic polynomials and prime numbers by Yves Gallot.