Toda primes
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911284485685248 |
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| author | McKean, Stephen |
| author_facet | McKean, Stephen |
| contents | A Toda prime of an integer $n$ is an odd prime $p$ such that $4n=(p-1)k$ with $k$ coprime to $p$. We conjecture that every positive integer admits at least two Toda primes. We give a partial proof that every positive integer admits at least one Toda prime. We conclude by discussing connections to denominators of Bernoulli numbers and a generalization of Sophie Germain primes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19744 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Toda primes McKean, Stephen Number Theory 11A41, 11B68, 55Q40 A Toda prime of an integer $n$ is an odd prime $p$ such that $4n=(p-1)k$ with $k$ coprime to $p$. We conjecture that every positive integer admits at least two Toda primes. We give a partial proof that every positive integer admits at least one Toda prime. We conclude by discussing connections to denominators of Bernoulli numbers and a generalization of Sophie Germain primes. |
| title | Toda primes |
| topic | Number Theory 11A41, 11B68, 55Q40 |
| url | https://arxiv.org/abs/2511.19744 |