{
  "id": "1311.1161",
  "version": "v2",
  "published": "2013-11-05T18:58:11.000Z",
  "updated": "2013-11-14T11:59:14.000Z",
  "title": "On the greatest prime factor of ab+1",
  "authors": [
    "Étienne Fouvry"
  ],
  "comment": "38 pages. Theorem 3 of this version is improved. One bibliographical item is added",
  "categories": [
    "math.NT"
  ],
  "abstract": "We improve some results on the size of the greatest prime factor of integers of the form ab+1, where a and b belong to finite sets of integers with rather large density.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-14T11:59:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "greatest prime factor",
      "finite sets",
      "large density"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.1161F"
    }
  }
}