The Cram\'er conjecture holds with a positive probability
Number Theory
2018-02-26 v1
Abstract
We prove that a positive proportion of the intervals of any fixed scalar multiple of in the dyadic interval contain a prime number. We also show that a positive proportion of the congruence classes modulo contain a prime number smaller than any fixed scalar multiple of
Cite
@article{arxiv.1802.08524,
title = {The Cram\'er conjecture holds with a positive probability},
author = {Naser T. Sardari},
journal= {arXiv preprint arXiv:1802.08524},
year = {2018}
}