Smooth sums with small spacings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915602738708480 |
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| author | van Doorn, Wouter Everts, Anneroos R. F. |
| author_facet | van Doorn, Wouter Everts, Anneroos R. F. |
| contents | Solving a problem by Erdős, we prove that every positive integer $n$ can be written as a sum $$n = b_{1} + b_{2} + \ldots + b_{r}$$ of distinct $3$-smooth integers with $1 \le b_{1} < b_{2} < \ldots < b_{r} < 6b_{1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04585 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Smooth sums with small spacings van Doorn, Wouter Everts, Anneroos R. F. Number Theory Solving a problem by Erdős, we prove that every positive integer $n$ can be written as a sum $$n = b_{1} + b_{2} + \ldots + b_{r}$$ of distinct $3$-smooth integers with $1 \le b_{1} < b_{2} < \ldots < b_{r} < 6b_{1}$. |
| title | Smooth sums with small spacings |
| topic | Number Theory |
| url | https://arxiv.org/abs/2511.04585 |