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arXiv · 2504.09938

On the divisibility of sums of Fibonacci numbers

Oisín Flynn-Connolly
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Abstract

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.

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Oisín Flynn-Connolly. 2025-08-31. On the divisibility of sums of Fibonacci numbers. https://arxiv.org/abs/2504.09938

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