ANU Computer Science Technical Reports

TR-CS-97-11

Richard P. Brent, Richard E. Crandall, and Karl Dilcher.
Two new factors of Fermat numbers.
May 1997.

[POSTSCRIPT (112002 bytes)]

Abstract: We report the discovery of new 27-decimal digit factors of the thirteenth and sixteenth Fermat numbers. Each of the new factors was found by the elliptic curve method. After division by the new factors and other known factors, the quotients are seen to be composite numbers with 2,391 and 19,694 decimal digits respectively.

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Last modified: Wed May 28 15:30:09 EST 1997