{
  "id": "2504.09938",
  "version": "v2",
  "published": "2025-04-14T07:00:48.000Z",
  "updated": "2025-05-04T14:10:47.000Z",
  "title": "On the divisibility of sums of Fibonacci numbers",
  "authors": [
    "Oisín Flynn-Connolly"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2025-05-04T14:10:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "11B39",
      "11B50"
    ],
    "keywords": [
      "divisibility",
      "nonzero fibonacci numbers",
      "odd integers",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}