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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 2020 MCQ for Mathematics of Computation is 1.78.

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A search for large twin prime pairs
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by R. E. Crandall and M. A. Penk PDF
Math. Comp. 33 (1979), 383-388 Request permission

Abstract:

Two methods are discussed for finding large integers m such that $m - 1$ and $m + 1$ are both primes. Eight such numbers m of magnitudes 22, 22, 32, 64, 136, 154, 203, and 303 digits are listed; together with primitive roots (for $m + 1$) and Lucas-Lehmer parameters (for $m - 1$). The Hardy-Littlewood twin prime conjecture is supported by a statistical test involving the generation of 249 twin prime pairs in the 50-to-54 digit region.
References
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Math. Comp. 33 (1979), 383-388
  • MSC: Primary 10A25; Secondary 10J10
  • DOI: https://doi.org/10.1090/S0025-5718-1979-0514834-3
  • MathSciNet review: 514834