{
  "id": "1603.00080",
  "version": "v1",
  "published": "2016-02-29T22:43:35.000Z",
  "updated": "2016-02-29T22:43:35.000Z",
  "title": "On integer solutions to x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n",
  "authors": [
    "Geoffrey B Campbell",
    "Aleksander Zujev"
  ],
  "comment": "3 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give an infinite number of integer solutions to the Diophantine equation x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n, and some solutions to some similar equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-29T22:43:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D45",
      "11D41"
    ],
    "keywords": [
      "integer solutions",
      "infinite number",
      "similar equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160300080C"
    }
  }
}