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Explicit Estimate on Primes between Consecutive Cubes

Authors
  • Cheng, Yuanyou Furui
Type
Preprint
Publication Date
Jan 25, 2013
Submission Date
Oct 12, 2008
Source
arXiv
License
Yellow
External links

Abstract

We give an explicit form of Ingham's Theorem on primes in the short intervals, and show that there is at least one prime between every two consecutive cubes $x\sp{3}$ and $(x+1)\sp{3}$ if $\log\log x\ge 15$.

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