{
  "id": "1908.09742",
  "version": "v1",
  "published": "2019-08-26T15:35:11.000Z",
  "updated": "2019-08-26T15:35:11.000Z",
  "title": "A diophantine system",
  "authors": [
    "Ajai Choudhry"
  ],
  "comment": "4 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we find a parametric solution to the hitherto unsolved problem of finding three positive integers such that their sum, the sum of their squares and the sum of their cubes are simultaneously perfect squares.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-26T15:35:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D25"
    ],
    "keywords": [
      "diophantine system",
      "parametric solution",
      "simultaneously perfect squares",
      "hitherto unsolved problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}