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Two new factors of Fermat numbers

Brent, Richard P; Crandall, Richard E; Dilcher, Karl


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 2391 and 19694 decimal digits respectively.

CollectionsANU Research Publications
Date published: 1997
Type: Working/Technical Paper


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