Large prime gaps and progressions with few primes

Research output: Contribution to journalArticlepeer-review


We show that the existence of arithmetic progressions with few primes, with a quantitative bound on "few", implies the existence of larger gaps between primes less than x than is currently known unconditionally. In particular, we derive this conclusion if there are certain types of exceptional zeros of Dirichlet L-functions.

Original languageEnglish (US)
Pages (from-to)41-47
Number of pages7
JournalRivista di Matematica della Universita di Parma
Issue number1
StatePublished - 2021


  • Primes
  • exceptional character
  • exceptional zero
  • prime gaps
  • primes in progressions

ASJC Scopus subject areas

  • General Mathematics


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