Tuesday, May 13, 2008

Chronological history of complete Fermat number factorizations

Source: http://www.prothsearch.net/fermat.html

1732F5Euler
123 year gap
1855F6Clausen
115 year gap
1970F7Morrison & Brillhart
10 year gap
1980F8Brent & Pollard
8 year gap
1988F11Brent & Morain
2 year gap
1990F9Lenstra, Manasse & a larger team
5 year gap
1995F10Brent
13 year gap......and counting
2008(today)

We are now in the third largest gap between Fermat number complete factorizations. The next milestone is the year 2110 when another 115 years will have again passed between complete factorizations. Will F12 (or greater) be factored before then?

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