English

Bounded intervals containing many primes

Number Theory 2015-05-08 v1

Abstract

By combining a sieve method of Harman with the work of Maynard and Tao we show that lim infn(pn+mpn)exp(3.815m).\liminf_{n\rightarrow \infty}(p_{n+m}-p_n)\ll \exp(3.815m).

Cite

@article{arxiv.1505.01815,
  title  = {Bounded intervals containing many primes},
  author = {R. C. Baker and A. J. Irving},
  journal= {arXiv preprint arXiv:1505.01815},
  year   = {2015}
}

Comments

24 pages

R2 v1 2026-06-22T09:29:56.941Z