On the divisibility of sums of Fibonacci numbers

2025/04/14 by Oisín Flynn-Connolly, Flynn-Connolly, Oisín
Physics and Astronomy · Mathematics · #Advanced Mathematical Theories and Applications #Advanced Mathematical Identities #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.2504.09938

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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