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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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Divisors of Mersenne numbers
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by Samuel S. Wagstaff PDF
Math. Comp. 40 (1983), 385-397 Request permission


We add to the heuristic and empirical evidence for a conjecture of Gillies about the distribution of the prime divisors of Mersenne numbers. We list some large prime divisors of Mersenne numbers ${M_p}$ in the range $17000 < p < {10^5}$.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Math. Comp. 40 (1983), 385-397
  • MSC: Primary 10H15; Secondary 10-04, 10A25
  • DOI:
  • MathSciNet review: 679454