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Factorization of the tenth and eleventh Fermat numbers

Brent, Richard P

Description

We describe the complete factorization of the tenth and eleventh Fermat numbers. The tenth Fermat number is a product of four prime factors with 8, 10, 40 and 252 decimal digits. The eleventh Fermat number is a product of five prime factors with 6, 6, 21, 22 and 564 decimal digits. We also note a new 27-decimal digit factor of the thirteenth Fermat number. This number has four known prime factors and a 2391-decimal digit composite factor. All the new factors reported here were found by the...[Show more]

CollectionsANU Research Publications
Date published: 1996
Type: Working/Technical Paper
URI: http://hdl.handle.net/1885/40767
http://digitalcollections.anu.edu.au/handle/1885/40767

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