• DOI:10.1216/RMJ-2010-40-1-117
Corpus ID: 15502941

Explicit Estimate on Primes between Consecutive Cubes

@article{Cheng2008ExplicitEO,
  title={Explicit Estimate on Primes between Consecutive Cubes},
  author={Y. Cheng},
  journal={arXiv: Number Theory},
  year={2008}
}

• Y. Cheng
• Published 2008
• Mathematics
• arXiv: Number Theory

View PDF on arXiv

Save to Library

Create Alert

Cite

Launch Research Feed

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 $\log\log x\ge 15$.