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On the sum of two powered numbers

Volume 214 / 2024

Jörg Brüdern, Olivier Robert Acta Arithmetica 214 (2024), 353-356 MSC: Primary 11B13 DOI: 10.4064/aa230609-26-9 Published online: 5 February 2024

Abstract

Any natural number $n\ge 4$ is representable as the sum $n=m_1+m_2$ where the largest squarefree divisor of each of the numbers $m_j$ does not exceed $2\sqrt[4]{27}\sqrt{m_j}$.

Authors

  • Jörg BrüdernUniversität Göttingen
    Mathematisches Institut
    D-37073 Göttingen, Germany
    e-mail
  • Olivier RobertUniversité Jean Monnet
    ICJ UMR5208, CNRS, École Centrale de Lyon
    INSA Lyon, Université Claude Bernard Lyon 1
    F-42023 Saint-Étienne, France
    e-mail

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