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We prove that every positive integer n which is not equal to 1, 2, 3, 6, 11, 30, 155, or 247 can be represented as a sum of a squarefree number and a prime not exceeding \(\sqrt{n}\) .

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Representing Positive Integers as a Sum of a Squarefree Number and a Small Prime

  • 会议论文

  • 发表日期：

    2025年

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  • Jack Dalton,
  • Ognian Trifonov

摘要

We prove that every positive integer n which is not equal to 1, 2, 3, 6, 11, 30, 155, or 247 can be represented as a sum of a squarefree number and a prime not exceeding \(\sqrt{n}\) .