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Positive Proportion of Small Gaps Between Consecutive Primes

Number Theory 2011-03-22 v1

Abstract

We prove that a positive proportion of the gaps between consecutive primes are short gaps of length less than any fixed fraction of the average spacing between primes.

Keywords

Cite

@article{arxiv.1103.3986,
  title  = {Positive Proportion of Small Gaps Between Consecutive Primes},
  author = {D. A. Goldston and J. Pintz and C. Y. Yildirim},
  journal= {arXiv preprint arXiv:1103.3986},
  year   = {2011}
}

Comments

9 pages

R2 v1 2026-06-21T17:42:17.241Z