Primes in Tuples IV: Density of small gaps between consecutive primes
Number Theory
2011-03-31 v1
Abstract
We show that a positive proportion of all gaps between consecutive primes are small gaps. We provide several quantitative results, some unconditional and some conditional, in this flavour.
Cite
@article{arxiv.1103.5886,
title = {Primes in Tuples IV: Density of small gaps between consecutive primes},
author = {D. A. Goldston and J. Pintz and C. Y. Yildirim},
journal= {arXiv preprint arXiv:1103.5886},
year = {2011}
}