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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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The 25th and 26th Mersenne primes
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by Curt Noll and Laura Nickel PDF
Math. Comp. 35 (1980), 1387-1390 Request permission

Abstract:

The 25th and 26th Mersenne primes are ${2^{21701}} - 1$ and ${2^{23209}} - 1$, respectively. Their primality was determined with an implementation of the Lucas-Lehmer test on a CDC Cyber 174 computer. The 25th and 26th even perfect numbers are $({2^{21701}} - 1)\;{2^{21700}}$ and $({2^{23209}} - 1)\;{2^{23208}}$, respectively.
References
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  • David Slowinski, Searching for the 27th Mersenne prime, J. Recreational Math. 11 (1978/79), no. 4, 258–267. MR 536930
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Math. Comp. 35 (1980), 1387-1390
  • MSC: Primary 10A25
  • DOI: https://doi.org/10.1090/S0025-5718-1980-0583517-4
  • MathSciNet review: 583517