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

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

2010-10-07

arxiv.org/abs/1010.1399v2

Mathematics

Number Theory

10 pages

Scientific paper

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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