Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers
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- by Helmut Maier and Michael Th. Rassias PDF
- Proc. Amer. Math. Soc. 144 (2016), 3347-3354 Request permission
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.References
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Additional Information
- Helmut Maier
- Affiliation: Department of Mathematics, University of Ulm, Helmholtzstrasse 18, 8901 Ulm, Germany
- MR Author ID: 210572
- Email: helmut.maier@uni-ulm.de
- Michael Th. Rassias
- Affiliation: Department of Mathematics, ETH-Zürich, Rämistrasse 101, 8092 Zürich, Switzerland – and – Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, New Jersey 08544-1000
- MR Author ID: 914866
- Email: michail.rassias@math.ethz.ch, michailrassias@math.princeton.edu
- Received by editor(s): May 14, 2015
- Received by editor(s) in revised form: September 25, 2015, and October 23, 2015
- Published electronically: February 17, 2016
- Communicated by: Matthew A. Papanikolas
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 3347-3354
- MSC (2010): Primary 11P32
- DOI: https://doi.org/10.1090/proc/13010
- MathSciNet review: 3503703