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Three new Mersenne primes and a statistical theory


Author: Donald B. Gillies
Journal: Math. Comp. 18 (1964), 93-97
MSC: Primary 10.03
DOI: https://doi.org/10.1090/S0025-5718-1964-0159774-6
Corrigendum: Math. Comp. 31 (1977), 1051.
Corrigendum: Math. Comp. 31 (1977), 1051.
MathSciNet review: 0159774
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References [Enhancements On Off] (What's this?)

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  • [3] S. Kravitz, ``Divisors of Mersenne numbers $ 10,000 < p < 15,000$,'' Math. Comp. v. 15, 1961, p. 292-293. MR 0123508 (23:A833)
  • [4] D. H. Lehmer, ``An extended theory of Lucas' functions,'' Ann. of Math. v. 31, 1930, p. 419-448. MR 1502953
  • [5] H. Riesel, ``Mersenne numbers,'' MTAC v. 12, 1958, p. 207-213. MR 0101850 (21:657)
  • [6] H. Riesel, ``All factors $ q < {10^8}$ in all Mersenne numbers $ {2^p} - 1$, p prime $ <\,{{10}^{4}}$,'' Math. Comp. v. 16, 1962, p. 478-482. MR 0152484 (27:2462)
  • [7] D. Shanks, Solved and Unsolved Problems in Number Theory, Spartan Books, Washington, 1962, p. 198. MR 0160741 (28:3952)

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DOI: https://doi.org/10.1090/S0025-5718-1964-0159774-6
Article copyright: © Copyright 1964 American Mathematical Society

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