Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers-Reference-Cited by-同舟云学术

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

Published:2016-02-17 Issue:8 Volume:144 Page:3347-3354
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Maier Helmut,Rassias Michael

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2016-144-08/S0002-9939-2016-13010-4/S0002-9939-2016-13010-4.pdf

Reference8 articles.

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3. A large sieve density estimate near 𝜎=1;Gallagher, P. X.;Invent. Math.,1970

4. London Mathematical Society Monographs, No. 4;Halberstam, H.,1974

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