On the divisibility of sums of Fibonacci numbers

Oisín Flynn-Connolly

公開日: 2025/4/14

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.

On the divisibility of sums of Fibonacci numbers | SummarXiv | SummarXiv