paper

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

arXiv:1504.01645

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.

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