English

There Are No Odd Perfect Numbers

General Mathematics 2023-03-20 v4

Abstract

While the general form of even perfect numbers is well-known, the existence or non-existence of odd perfect numbers is still an open problem. We address this problem and prove that if a natural number is odd, then it's not perfect.

Keywords

Cite

@article{arxiv.2101.07176,
  title  = {There Are No Odd Perfect Numbers},
  author = {Hooshang Saeid-Nia},
  journal= {arXiv preprint arXiv:2101.07176},
  year   = {2023}
}
R2 v1 2026-06-23T22:16:57.761Z