{
  "id": "1201.6659",
  "version": "v1",
  "published": "2012-01-31T19:49:39.000Z",
  "updated": "2012-01-31T19:49:39.000Z",
  "title": "Primitive divisors of Lucas and Lehmer sequences",
  "authors": [
    "Paul M Voutier"
  ],
  "journal": "Math. Comp. 64 (1995), 869-888",
  "doi": "10.1090/S0025-5718-1995-1284673-6",
  "categories": [
    "math.NT"
  ],
  "abstract": "Stewart reduced the problem of determining all Lucas and Lehmer sequences whose $n$-th element does not have a primitive divisor to solving certain Thue equations. Using the method of Tzanakis and de Weger for solving Thue equations, we determine such sequences for $n \\leq 30$. Further computations lead us to conjecture that, for $n > 30$, the $n$-th element of such sequences always has a primitive divisor.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-31T19:49:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D61"
    ],
    "keywords": [
      "primitive divisor",
      "lehmer sequences",
      "th element",
      "solving thue equations",
      "conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Mathematics of Computation",
      "year": 1995,
      "volume": 64,
      "number": 210,
      "pages": 869
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1995MaCom..64..869V"
    }
  }
}