Divisors of Mersenne Numbers

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1983Publisher:JSTORJournal:Mathematics of Computation, volume 40, page 385 (issn: 0025-5718,

Copyright policy )

Authors: Wagstaff, Samuel S. jun.;

doi: 10.2307/2007383 , 10.1090/s0025-5718-1983-0679454-x

Divisors of Mersenne Numbers

- Summary
- Subjects
- Metrics

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 numbersMp{M_p}in the range17000>p>10517000 > p > {10^5}.

Related Organizations

University of Georgia Press
United States
American Mathematical Society
United States

Keywords

Gillies conjecture, Mersenne numbers, table of large prime divisors, Fibonacci and Lucas numbers and polynomials and generalizations, Software, source code, etc. for problems pertaining to number theory, Mersenne primes, heuristic argument, empirical data, Primes

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	37
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average