{
  "id": "1905.00533",
  "version": "v1",
  "published": "2019-05-02T00:06:02.000Z",
  "updated": "2019-05-02T00:06:02.000Z",
  "title": "Cardinality of a floor function",
  "authors": [
    "Randell Heyman"
  ],
  "comment": "9 pages. Comments welcome",
  "categories": [
    "math.NT"
  ],
  "abstract": "Fix a positive integer X. We quantify the cardinality of the set $\\{\\lfloor X/n \\rfloor\\}_{n=1}^X$. We discuss restricting the set to those elements that are prime, semiprime or similar.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-02T00:06:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A25",
      "11A41"
    ],
    "keywords": [
      "floor function",
      "cardinality",
      "positive integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}