Large gaps between consecutive prime numbers containing perfect powers

Kevin Ford, D. R. Heath-Brown, Sergei Konyagin

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

For any positive integer k, we show that infinitely often, perfect kth powers appear inside very long gaps between consecutive prime numbers, that is, gaps of size (formula) where p is the smaller of the two primes.

Original languageEnglish (US)
Title of host publicationAnalytic Number Theory
Subtitle of host publicationIn Honor of Helmut Maier's 60th Birthday
PublisherSpringer
Pages83-92
Number of pages10
ISBN (Electronic)9783319222400
ISBN (Print)9783319222394
DOIs
StatePublished - Jan 1 2015

ASJC Scopus subject areas

  • Mathematics(all)
  • Computer Science(all)

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