{
  "id": "math/0405220",
  "version": "v1",
  "published": "2004-05-12T12:00:45.000Z",
  "updated": "2004-05-12T12:00:45.000Z",
  "title": "Classical and modular approaches to exponential Diophantine equations II. The Lebesgue-Nagell equation",
  "authors": [
    "Yann Bugeaud",
    "Maurice Mignotte",
    "Samir Siksek"
  ],
  "comment": "49 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We solve completely the Lebesgue-Nagell equation x^2+D=y^n, in integers x, y, n>2, for D in the range 1 =< D =< 100.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-12T12:00:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D61",
      "11J86",
      "11D59",
      "11Y50"
    ],
    "keywords": [
      "exponential diophantine equations",
      "lebesgue-nagell equation",
      "modular approaches"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5220B"
    }
  }
}