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

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Abstract

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

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Acknowledgments

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

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Authors and Affiliations

  1. Mathematical Sciences Institute, The Australian National University, Canberra, ACT, 2601, Australia

    Adrian W. Dudek

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  1. Adrian W. Dudek
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Correspondence to Adrian W. Dudek.

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Dedicated to the memory of Theodor Ray Dudek

The author is grateful for the financial support of an Australian Postgraduate Award and an ANU Supplementary Scholarship.

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Dudek, A.W. On the sum of a prime and a square-free number. Ramanujan J 42, 233–240 (2017). https://doi.org/10.1007/s11139-015-9736-2

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  • DOI: https://doi.org/10.1007/s11139-015-9736-2

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