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Mathematics of Computation

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



A new lower bound for odd perfect numbers

Authors: Richard P. Brent and Graeme L. Cohen
Journal: Math. Comp. 53 (1989), 431-437
MSC: Primary 11A25; Secondary 11Y05, 11Y70
MathSciNet review: 968150
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Abstract: We describe an algorithm for proving that there is no odd perfect number less than a given bound K (or finding such a number if one exists). A program implementing the algorithm has been run successfully with $K = {10^{160}}$, with an elliptic curve method used for the vast number of factorizations required.

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Article copyright: © Copyright 1989 American Mathematical Society