A note on a result of Makowski

In this note, we fix a gap in a proof of the first author that 28 is the only even perfect number which is the sum of two perfect cubes. We also discuss the situation for higher powers.

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Publication Details

Journal
Elemente der Mathematik
Published
2025-04-30
DOI
https://doi.org/10.4171/em/558
Primary Topic
Functional Equations Stability Results
Type
article
Field-Weighted Citation Impact
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article

A note on a result of Makowski

Joshua Zelinsky, Luis H. Gallardo
Elemente der Mathematik
Functional Equations Stability Results
article

A note on a result of Makowski

Joshua Zelinsky, Luis H. Gallardo
article en

Abstract

In this note, we fix a gap in a proof of the first author that 28 is the only even perfect number which is the sum of two perfect cubes. We also discuss the situation for higher powers.

Elemente der Mathematik
Université de Bretagne Occidentale (FR)
Openalex Percentile: Top 87%
Functional Equations Stability Results
DOIOpen Access PDFOpenAlex
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A note on a result of Makowski — Joshua Zelinsky, Luis H. Gallardo · Elemente der Mathematik (2025) | TGRS Research Map | TGRS