{
  "id": "1705.10766",
  "version": "v1",
  "published": "2017-05-30T17:39:17.000Z",
  "updated": "2017-05-30T17:39:17.000Z",
  "title": "On the moments of the gaps between consecutive primes",
  "authors": [
    "Marek Wolf"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We derive heuristically formula for the $k$--moments $M_k(x)$ of the gaps between consecutive primes$<x $ represented directly by $x$$\\pi(x)$ --- the number of primes up to: $M_k(x)= \\Gamma(k+1)x^k/\\pi^{k-1}(x)+\\mathcal{O}(x)$, We illustrate obtained results by computer data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-30T17:39:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A41",
      "11P32",
      "11N35",
      "11N05",
      "11Y55"
    ],
    "keywords": [
      "consecutive primes",
      "computer data",
      "illustrate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}