Abstract: dvi (3K), pdf (32K), ps (28K).
Paper: dvi (2K), pdf (19K), ps (14K).
This abstract announces the complete factorization of the 617-digit Fermat number F11 = 2211 + 1:
F11 = 319489 . 974849 . 167988556341760475137 . 3560841906445833920513 . p564
where the two 6-digit factors were already known (Cunningham, 1899), the 21-digit and 22-digit prime factors were found using the two-phase elliptic curve algorithm on a Fujitsu VP100 computer, and p564 is a 564-decimal digit prime (primality proof by F. Morain, using the method of Atkin).
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