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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Factorization of the eighth Fermat number

Authors: Richard P. Brent and John M. Pollard
Journal: Math. Comp. 36 (1981), 627-630
MSC: Primary 10A25; Secondary 10-04, 65C05
MathSciNet review: 606520
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Abstract: We describe a Monte Carlo factorization algorithm which was used to factorize the Fermat number $ {F_8} = {2^{256}} + 1$. Previously $ {F_8}$ was known to be composite, but its factors were unknown.

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Keywords: Fermat numbers, factorization, Monte Carlo methods
Article copyright: © Copyright 1981 American Mathematical Society