{
  "id": "1209.3729",
  "version": "v3",
  "published": "2012-09-17T17:37:14.000Z",
  "updated": "2012-09-19T17:22:02.000Z",
  "title": "Some new inequalities for primes",
  "authors": [
    "Zhi-Wei Sun"
  ],
  "comment": "6 pages. Make Theorem 1.2 general",
  "categories": [
    "math.NT"
  ],
  "abstract": "For n=1,2,3,... let p_n be the n-th prime. We mainly show that p_n>n+sum_{k=1}^n p_k/k for all n>124, and sum_{k=1}^n kp_k<n^2p_n/3 for all n>30.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-09-19T17:22:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A41",
      "11B75"
    ],
    "keywords": [
      "inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.3729S"
    }
  }
}