English

On the Density of Weak Polignac Numbers

Number Theory 2015-01-28 v1

Abstract

Let kk be an integer which is the difference between prime numbers infinitely often. It is known that there are infinitely many such kk and, in this paper, we give a new unconditional proof that these kk have positive density and improve on current bounds, assuming a strong hypothesis.

Keywords

Cite

@article{arxiv.1501.06690,
  title  = {On the Density of Weak Polignac Numbers},
  author = {Stijn S. C. Hanson},
  journal= {arXiv preprint arXiv:1501.06690},
  year   = {2015}
}