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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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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