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December 2017 On the representation of an even perfect number as the sum of five cubes
Bakir Farhi
Funct. Approx. Comment. Math. 57(2): 277-278 (December 2017). DOI: 10.7169/facm/1639

Abstract

The aim of this note is to show that any even perfect number, other than $6$, can be written as the sum of at most five positive integral cubes. We also conjecture that any such number can even be written as the sum of at most three positive integral cubes.

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Bakir Farhi. "On the representation of an even perfect number as the sum of five cubes." Funct. Approx. Comment. Math. 57 (2) 277 - 278, December 2017. https://doi.org/10.7169/facm/1639

Information

Published: December 2017
First available in Project Euclid: 28 March 2017

zbMATH: 06864175
MathSciNet: MR3732899
Digital Object Identifier: 10.7169/facm/1639

Subjects:
Primary: 11A25
Secondary: 11B13

Rights: Copyright © 2017 Adam Mickiewicz University

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Vol.57 • No. 2 • December 2017
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