On the divisibility of sums of Fibonacci numbers
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918133278703616 |
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| author | Flynn-Connolly, Oisín |
| author_facet | Flynn-Connolly, Oisín |
| contents | We show that for infinitely many odd integers $n$, the sum of the first $n$ nonzero Fibonacci numbers is divisible by $n$. This resolves a conjecture of Fatehizadeh and Yaqubi. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09938 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the divisibility of sums of Fibonacci numbers Flynn-Connolly, Oisín Number Theory Combinatorics 05A10, 11B39, 11B50 We show that for infinitely many odd integers $n$, the sum of the first $n$ nonzero Fibonacci numbers is divisible by $n$. This resolves a conjecture of Fatehizadeh and Yaqubi. |
| title | On the divisibility of sums of Fibonacci numbers |
| topic | Number Theory Combinatorics 05A10, 11B39, 11B50 |
| url | https://arxiv.org/abs/2504.09938 |