{
  "id": "1604.05334",
  "version": "v1",
  "published": "2016-04-18T20:05:21.000Z",
  "updated": "2016-04-18T20:05:21.000Z",
  "title": "Difference of powers of consecutive primes which are perfect squares",
  "authors": [
    "Alessandro Ventullo"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We investigate the consecutive primes $p$ and $q$ ($p > q$) for which there exists a pair of natural numbers $(x,y)$ such that $p^x-q^y$ is a perfect square and make some conjectures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-18T20:05:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perfect square",
      "consecutive primes",
      "difference"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160405334V"
    }
  }
}