English

Bounded gaps between primes

Number Theory 2014-02-25 v2

Abstract

These are notes on Zhang's work and subsequent developments produced in preparation for 5 hours of talks for a general mathematical audience given in Cambridge, Edinburgh and Auckland over the last year. Being for colloquium-style talks, these notes are at a much lower level than other accounts in the literature. In places they are deliberately quite nonrigorous. Whether anyone will find them helpful is unclear but some care was taken on their preparation and there is, I hope, little harm in making them available here.

Keywords

Cite

@article{arxiv.1402.4849,
  title  = {Bounded gaps between primes},
  author = {Ben Green},
  journal= {arXiv preprint arXiv:1402.4849},
  year   = {2014}
}

Comments

20 double-spaced pages. Submitted to Eureka. Second version corrects a few typos and updates the already obsolete bound of H = 264 to the current record of H = 252

R2 v1 2026-06-22T03:12:01.759Z