{
  "id": "1108.2107",
  "version": "v2",
  "published": "2011-08-10T06:51:25.000Z",
  "updated": "2011-08-13T21:49:49.000Z",
  "title": "Several new relations for the $n^{th}$ prime number",
  "authors": [
    "Boris B. Benyaminov"
  ],
  "comment": "6 pages. Withdrawn by author due to a problem with a preceding paper on which the results here are based. Section three in particular is affected",
  "categories": [
    "math.NT"
  ],
  "abstract": "We arrive at some new relations for the prime number $P_n$, based on the logarithmic and absolute-value properties of the function $\\pi(x)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-13T21:49:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A41",
      "11M26"
    ],
    "keywords": [
      "prime number",
      "absolute-value properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.2107B"
    }
  }
}