Factorization of the tenth Fermat number

نویسنده

  • Richard P. Brent
چکیده

We describe the complete factorization of the tenth Fermat number F10 by the elliptic curve method (ECM). F10 is a product of four prime factors with 8, 10, 40 and 252 decimal digits. The 40-digit factor was found after about 140 Mflop-years of computation. We also discuss the complete factorization of other Fermat numbers by ECM, and summarize the factorizations

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عنوان ژورنال:
  • Math. Comput.

دوره 68  شماره 

صفحات  -

تاریخ انتشار 1999