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

Helmut Maier; Michael Th. Rassias

arxiv: 1504.01645 · v1 · pith:NSATV2AZnew · submitted 2015-04-07 · 🧮 math.NT

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

Helmut Maier , Michael Th. Rassias This is my paper

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keywords numbersprimeperfectpowerssquare-freeavoidanceconcerningconsecutive

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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.

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

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