About de Polignac's conjecture
Number Theory
2017-07-28 v2
Abstract
In this note we present a method to bound gaps between primes via the divergence of the series of reciprocals of the prime numbers, a consequence of a version of the Bertrand's test for convergence of series of positive numbers and a suitable series of positive terms related to the logarithmic integral function. Using this proposed method we discuss the Polignac's conjecture and present some consequences.
Cite
@article{arxiv.1707.04890,
title = {About de Polignac's conjecture},
author = {Douglas Azevedo},
journal= {arXiv preprint arXiv:1707.04890},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1706.09058