English

A Note on a Result of Makowski

Number Theory 2025-03-19 v4

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.

Keywords

Cite

@article{arxiv.2310.07077,
  title  = {A Note on a Result of Makowski},
  author = {Luis H. Gallardo and Joshua Zelinsky},
  journal= {arXiv preprint arXiv:2310.07077},
  year   = {2025}
}

Comments

5 pages. Accepted to Elemente der Mathematik

R2 v1 2026-06-28T12:46:42.031Z