{
  "id": "1706.04049",
  "version": "v1",
  "published": "2017-06-13T13:24:15.000Z",
  "updated": "2017-06-13T13:24:15.000Z",
  "title": "Improving the Estimates for a Sequence Involving Prime Numbers",
  "authors": [
    "Christian Axler"
  ],
  "comment": "4 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Based on new explicit estimates for the prime counting function, we improve the currently known estimates for the particular sequence $C_n = np_n - \\sum_{k \\leq n}p_k$, $n \\geq 1$, involving the prime numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-13T13:24:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A41",
      "11N05"
    ],
    "keywords": [
      "prime numbers",
      "prime counting function",
      "explicit estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}