English

Primes in Tuples II

Number Theory 2007-10-16 v1

Abstract

We prove that there are infinitely often pairs of primes much closer than the average spacing between primes - almost within the square root of the average spacing. We actually prove a more general result concerning the set of values taken on by the differences between primes.

Keywords

Cite

@article{arxiv.0710.2728,
  title  = {Primes in Tuples II},
  author = {D. A. Goldston and J. Pintz and C. Y. Yildirim},
  journal= {arXiv preprint arXiv:0710.2728},
  year   = {2007}
}

Comments

35 pages

R2 v1 2026-06-21T09:31:40.683Z