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Mathematics of Computation

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A method of factoring and the factorization of $F_{7}$

Authors: Michael A. Morrison and John Brillhart
Journal: Math. Comp. 29 (1975), 183-205
MSC: Primary 10A25; Secondary 10-04
Erratum: Math. Comp. 35 (1980), 1444.
MathSciNet review: 0371800
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Abstract: The continued fraction method for factoring integers, which was introduced by D. H. Lehmer and R. E. Powers, is discussed along with its computer implementation. The power of the method is demonstrated by the factorization of the seventh Fermat number ${F_7}$ and other large numbers of interest.

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Keywords: Factorization of integers, Fermat numbers, continued fraction method
Article copyright: © Copyright 1975 American Mathematical Society