{
  "id": "1202.2267",
  "version": "v1",
  "published": "2012-02-10T14:36:00.000Z",
  "updated": "2012-02-10T14:36:00.000Z",
  "title": "On The Solutions of The Equation (4^n)^x+p^y=z^2",
  "authors": [
    "Bilge Peker",
    "Selin Inag Cenberci"
  ],
  "comment": "4 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we gave solutions of the Diophantine equations 16^{x}+p^{y}=z^{2}, 64^{x}+p^{y}=z^{2} where p is an odd prime, n is a positive integer and x,y,z are non-negative integers. Finally we gave a generalization of the Diophantine equation (4^{n})^{x}+p^{y}=z^{2}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-10T14:36:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D61"
    ],
    "keywords": [
      "diophantine equation",
      "odd prime",
      "gave solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.2267P"
    }
  }
}