Divisors of Mersenne numbers-Reference-Cited by-同舟云学术

Divisors of Mersenne numbers

Published:1983 Issue:161 Volume:40 Page:385-397
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Wagstaff Samuel S.

Abstract

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 {M_p} in the range 17000 > p > 10 5 17000 > p > {10^5} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1983-40-161/S0025-5718-1983-0679454-X/S0025-5718-1983-0679454-X.pdf

Reference13 articles.

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2. On the factors of certain Mersenne numbers. II;Brillhart, John;Math. Comp.,1964

3. Note on the distribution of the intervals between prime numbers;Cherwell;Quart. J. Math. Oxford Ser.,1946

4. The frequency of prime-patterns;Cherwell;Quart. J. Math. Oxford Ser. (2),1960

5. The number of prime divisors of certain Mersenne numbers;Ehrman, John R.;Math. Comp.,1967

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