A note on bounded gaps between primes
Number Theory
2013-07-18 v4
Abstract
As a refinement of the celebrated recent work of Yitang Zhang we show that any admissible k-tuple of integers contains at least two primes and almost primes in each component infinitely often if k is at least 181000. This implies that there are infinitely many gaps between consecutive primes of size at most 2530338, with an improved admissible k-tuple of Andrew W. Sutherland to 2326476.
Cite
@article{arxiv.1306.1497,
title = {A note on bounded gaps between primes},
author = {Janos Pintz},
journal= {arXiv preprint arXiv:1306.1497},
year = {2013}
}
Comments
This paper became irrelevant due to a quick progress in the Polymath project of Terrence Tao