{
  "id": "1705.08305",
  "version": "v1",
  "published": "2017-05-22T12:06:10.000Z",
  "updated": "2017-05-22T12:06:10.000Z",
  "title": "A note on Fibonacci number of even index",
  "authors": [
    "Achille Frigeri"
  ],
  "comment": "5 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that a positive integer $n$ is a Fibonacci number of even index if and only if $\\langle n\\varphi\\rangle+\\frac{1}{n}>1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-22T12:06:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B39"
    ],
    "keywords": [
      "fibonacci number",
      "positive integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}