English

Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers

Number Theory 2015-04-08 v1

Abstract

We prove a modification as well as an improvement of a result of K. Ford, D. R. Heath-Brown and S. Konyagin concerning prime avoidance of square-free numbers and perfect powers of prime numbers.

Keywords

Cite

@article{arxiv.1504.01645,
  title  = {Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers},
  author = {Helmut Maier and Michael Th. Rassias},
  journal= {arXiv preprint arXiv:1504.01645},
  year   = {2015}
}