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The Ramanujan Journal

, Volume 42, Issue 1, pp 233–240 | Cite as

On the sum of a prime and a square-free number

  • Adrian W. Dudek
Article

Abstract

We prove that every integer greater than two may be written as the sum of a prime and a square-free number.

Keywords

Prime number Square-free Additive number theory Goldbach 

Mathematics Subject Classification

11P32 11N05 

Notes

Acknowledgments

The author wishes to thank Dr Timothy Trudgian for many helpful conversations regarding the present paper.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Mathematical Sciences InstituteThe Australian National UniversityCanberraAustralia

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