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About: Gillies' conjecture     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatConjecturesyago:Abstraction100002137yago:Cognition100023271yago:Communication100033020yago:Concept105835747yago:Content105809192yago:Hypothesis105888929yago:Hypothesis107162545yago:Idea105833840yago:Message106598915yago:Proposal107162194yago:PsychologicalFeature100023100yago:WikicatHypothesesyago:Speculation105891783 New Facet based on Instances of this Class

In number theory, Gillies' conjecture is a conjecture about the distribution of prime divisors of Mersenne numbers and was made by Donald B. Gillies in a 1964 paper in which he also announced the discovery of three new Mersenne primes. The conjecture is a specialization of the prime number theorem and is a refinement of conjectures due to I. J. Good and Daniel Shanks. The conjecture remains an open problem: several papers give empirical support, but it disagrees with the widely accepted (but also open) Lenstra–Pomerance–Wagstaff conjecture.