{
  "id": "1404.1060",
  "version": "v2",
  "published": "2014-04-03T19:40:01.000Z",
  "updated": "2014-04-17T05:14:41.000Z",
  "title": "On the Diophantine equation $pq=x^2+ny^2$",
  "authors": [
    "Ja Kyung Koo",
    "Dong Hwa Shin"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $n$ be a positive integer. We discuss pairs of distinct odd primes $p$ and $q$ not dividing $n$ for which the Diophantine equations $pq=x^2+ny^2$ have integer solutions in $x$ and $y$. As its examples we classify all such pairs of $p$ and $q$ when $n=5$ and $14$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-17T05:14:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E25",
      "11E16"
    ],
    "keywords": [
      "diophantine equation",
      "distinct odd primes",
      "integer solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.1060K"
    }
  }
}