On a new property of primes that leads to a generalization of Cramer's conjecture

2010/10/07 by Nilotpal Kanti Sinha, Sinha, Nilotpal Kanti
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1010.1399

10 pages

arxiv created 2010/10/10 · arxiv updated 2010/10/12

Abstract

I present a new property of prime numbers that leads to a generalization of Cramer's conjecture. The study of the gap between consecutive primes is treated as a special case of the gap between consecutive terms of sequences having a certain property called pseudo equidistribution. Both rigorous as well as heuristic arguments are given in support of the generalized Cramer's conjectures.

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