The Ramanujan Journal

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

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



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


Prime number Square-free Additive number theory Goldbach 

Mathematics Subject Classification

11P32 11N05 



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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