Explicit Estimate on Primes between Consecutive Cubes

Details Explicit Estimate on Primes between Consecutive Cubes Explicit Estimate on Primes between Consecutive Cubes

2008-10-12

arxiv.org/abs/0810.2113v1

Mathematics

Number Theory

To appear on RMJM

Scientific paper

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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