English

Odd Spoof Multiperfect Numbers Of Higher Order

Number Theory 2025-10-03 v1

Abstract

We extend our previous work on odd spoof multiperfect numbers to the case where spoof factor multiplicities exceed 22. This leads to the identification of 1111 new integers that would be odd multiperfect numbers if one of their prime factors had higher multiplicity. An example is 181545181545, which would be an odd multiperfect number if only one of its prime factors, 33, had multiplicity 55.

Keywords

Cite

@article{arxiv.2510.01752,
  title  = {Odd Spoof Multiperfect Numbers Of Higher Order},
  author = {László Tóth},
  journal= {arXiv preprint arXiv:2510.01752},
  year   = {2025}
}
R2 v1 2026-07-01T06:12:39.566Z