Skip navigation
Skip navigation

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

Download

File Description SizeFormat Image
TR-CS-96-02.pdf371.38 kBAdobe PDFThumbnail


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  17 November 2022/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator