Odd Spoof Multiperfect Numbers
Number Theory
2025-02-25 v1
Abstract
We generalize the definition of spoof perfect numbers to multiperfect numbers and study their characteristics. As a result, we find several new odd spoof multiperfect numbers, akin to Descartes' number. An example is , which would be an odd multiperfect number, if one of its prime factors, , was a square. We briefly describe an algorithm for searching for such numbers and discuss a few of their properties.
Keywords
Cite
@article{arxiv.2502.16954,
title = {Odd Spoof Multiperfect Numbers},
author = {László Tóth},
journal= {arXiv preprint arXiv:2502.16954},
year = {2025}
}