Odd Spoof Multiperfect Numbers Of Higher Order
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908573278142464 |
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| author | Tóth, László |
| author_facet | Tóth, László |
| contents | We extend our previous work on odd spoof multiperfect numbers to the case where spoof factor multiplicities exceed $2$. This leads to the identification of $11$ new integers that would be odd multiperfect numbers if one of their prime factors had higher multiplicity. An example is $181545$, which would be an odd multiperfect number if only one of its prime factors, $3$, had multiplicity $5$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01752 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Odd Spoof Multiperfect Numbers Of Higher Order Tóth, László Number Theory We extend our previous work on odd spoof multiperfect numbers to the case where spoof factor multiplicities exceed $2$. This leads to the identification of $11$ new integers that would be odd multiperfect numbers if one of their prime factors had higher multiplicity. An example is $181545$, which would be an odd multiperfect number if only one of its prime factors, $3$, had multiplicity $5$. |
| title | Odd Spoof Multiperfect Numbers Of Higher Order |
| topic | Number Theory |
| url | https://arxiv.org/abs/2510.01752 |