{
  "id": "1901.05382",
  "version": "v1",
  "published": "2019-01-16T16:46:47.000Z",
  "updated": "2019-01-16T16:46:47.000Z",
  "title": "On perfect powers that are sums of cubes of a five term arithmetic progression",
  "authors": [
    "Alejandro Argáez-García"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that the equation $(x-2r)^3 + (x-r)^3 + x^3 + (x+r)^3 + (x+2r)^3= y^p$ only has solutions which satisfy $xy=0$ for $1\\leq r\\leq 10^6$ and $p\\geq 5$ prime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-16T16:46:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "term arithmetic progression",
      "perfect powers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}