Divisibility of generalized Mersenne numbers
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911341146537984 |
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| author | Chan, Alex |
| author_facet | Chan, Alex |
| contents | In this article, I present a theorem determining a criterion for divisibility of two generalized Mersenne numbers, which are repunits of the same length in base-$a^m$ and base-$a^k$. In addition to the general proof, I present an alternative proof for a special case of the theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22645 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Divisibility of generalized Mersenne numbers Chan, Alex General Mathematics 11A07 In this article, I present a theorem determining a criterion for divisibility of two generalized Mersenne numbers, which are repunits of the same length in base-$a^m$ and base-$a^k$. In addition to the general proof, I present an alternative proof for a special case of the theorem. |
| title | Divisibility of generalized Mersenne numbers |
| topic | General Mathematics 11A07 |
| url | https://arxiv.org/abs/2512.22645 |