{
  "id": "1409.2463",
  "version": "v1",
  "published": "2014-09-08T18:58:09.000Z",
  "updated": "2014-09-08T18:58:09.000Z",
  "title": "On the Diophantine equation X^{2N} + 2^{2 alpha} 5^{2 beta} p^{2 gamma} = Z^5",
  "authors": [
    "Eva G. Goedhart",
    "Helen G. Grundman"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that for each odd prime p, positive integer alpha, and non-negative integers beta and gamma, the Diophantine equation X^{2N} + 2^{2 alpha} 5^{2 beta} p^{2 gamma} = Z^5 has no solution with X, Z, N in Z^+, N > 1, and gcd(X,Z) = 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-08T18:58:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diophantine equation",
      "odd prime",
      "positive integer alpha",
      "non-negative integers beta"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.2463G"
    }
  }
}