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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2024 MCQ for Mathematics of Computation is 1.78.

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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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    • BRYANT TUCKERMAN, Private communication with, International Business Machines Corporation, Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598. S. WAGSTAFF, JR., Private communication with, University of Illinois, Urbana, Illinois 61801.
  • 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