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arXiv:2504.09938 [math.NT]AbstractReferencesReviewsResources

On the divisibility of sums of Fibonacci numbers

Oisín Flynn-Connolly

Published 2025-04-14, updated 2025-05-04Version 2

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.

Comments: 6 pages
Categories: math.NT, math.CO
Subjects: 05A10, 11B39, 11B50
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