{
  "id": "math/0504579",
  "version": "v2",
  "published": "2005-04-28T18:01:00.000Z",
  "updated": "2009-07-03T16:21:10.000Z",
  "title": "A new algorithm to search for small nonzero |x^3 - y^2| values",
  "authors": [
    "I. Jimenez Calvo",
    "J. Herranz",
    "G. Saez"
  ],
  "comment": "9 pages, 1 figure",
  "journal": "Math. Comp. 78(2009), 2435-2444",
  "categories": [
    "math.NT"
  ],
  "abstract": "In relation to Hall's conjecture, a new algorithm is presented to search for small k = |x^3 -y^2| values. Thirteen new values of k < x^(1/2) are reported.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-07-03T16:21:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11Y50",
      "65A05"
    ],
    "keywords": [
      "small nonzero",
      "halls conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Math. Comp."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4579J"
    }
  }
}