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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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A new lower bound for odd perfect numbers
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by Richard P. Brent and Graeme L. Cohen PDF
Math. Comp. 53 (1989), 431-437 Request permission

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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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Math. Comp. 53 (1989), 431-437
  • MSC: Primary 11A25; Secondary 11Y05, 11Y70
  • DOI: https://doi.org/10.1090/S0025-5718-1989-0968150-2
  • MathSciNet review: 968150