{ "id": "1211.3108", "version": "v1", "published": "2012-11-13T20:53:39.000Z", "updated": "2012-11-13T20:53:39.000Z", "title": "Primitive divisors of Lucas and Lehmer sequences, III", "authors": [ "Paul Voutier" ], "journal": "Mathematical Proceedings of the Cambridge Philosophical Society, 123(1998), 407-419", "categories": [ "math.NT" ], "abstract": "In this paper we prove that if $n > 30,030$ then the $n$-th element of any Lucas or Lehmer sequence has a primitive divisor.", "revisions": [ { "version": "v1", "updated": "2012-11-13T20:53:39.000Z" } ], "analyses": { "subjects": [ "11B37", "11Y50" ], "keywords": [ "lehmer sequence", "primitive divisor", "th element" ], "tags": [ "journal article" ], "publication": { "doi": "10.1017/S0305004197002223", "journal": "Mathematical Proceedings of the Cambridge Philosophical Society", "year": 1998, "month": "May", "volume": 123, "number": 3, "pages": 407 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998MPCPS.123..407V" } } }