Odd Spoof Multiperfect Numbers
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909508028071936 |
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| author | Tóth, László |
| author_facet | Tóth, László |
| contents | 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 $8999757$, which would be an odd multiperfect number, if one of its prime factors, $61$, was a square. We briefly describe an algorithm for searching for such numbers and discuss a few of their properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16954 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Odd Spoof Multiperfect Numbers Tóth, László Number Theory 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 $8999757$, which would be an odd multiperfect number, if one of its prime factors, $61$, was a square. We briefly describe an algorithm for searching for such numbers and discuss a few of their properties. |
| title | Odd Spoof Multiperfect Numbers |
| topic | Number Theory |
| url | https://arxiv.org/abs/2502.16954 |