Explicit Estimate on Primes between Consecutive Cubes

@article{Cheng2008ExplicitEO,
  title={Explicit Estimate on Primes between Consecutive Cubes},
  author={Yuanyou Furui Cheng},
  journal={arXiv: Number Theory},
  year={2008}
}
  • Y. Cheng
  • Published 12 October 2008
  • Mathematics
  • arXiv: Number Theory
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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