Arithmetic progressions of integers that are relatively prime to their digital sums
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917255548239872 |
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| author | Blau, Ryan Harrington, Joshua Lohrey, Sarah Sosis, Eliel Wong, Tony W. H. |
| author_facet | Blau, Ryan Harrington, Joshua Lohrey, Sarah Sosis, Eliel Wong, Tony W. H. |
| contents | For an integer $b\geq 2$, we call a positive integer $b$-anti-Niven if it is relatively prime to the sum of the digits in its base-$b$ representation. In this article, we investigate the maximum lengths of arithmetic progressions of $b$-anti-Niven numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_05228 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Arithmetic progressions of integers that are relatively prime to their digital sums Blau, Ryan Harrington, Joshua Lohrey, Sarah Sosis, Eliel Wong, Tony W. H. Number Theory 11A63, 11B25 For an integer $b\geq 2$, we call a positive integer $b$-anti-Niven if it is relatively prime to the sum of the digits in its base-$b$ representation. In this article, we investigate the maximum lengths of arithmetic progressions of $b$-anti-Niven numbers. |
| title | Arithmetic progressions of integers that are relatively prime to their digital sums |
| topic | Number Theory 11A63, 11B25 |
| url | https://arxiv.org/abs/2308.05228 |