{
  "id": "1407.7158",
  "version": "v2",
  "published": "2014-07-26T20:30:31.000Z",
  "updated": "2014-08-15T19:20:46.000Z",
  "title": "Explicit estimates on prime numbers",
  "authors": [
    "Yuanyou Cheng",
    "Glenn J. Fox",
    "Mehdi Hassani"
  ],
  "comment": "This submission has been withdrawn by arXiv admins due to fraudulent affiliation claims by the original submitter",
  "categories": [
    "math.NT"
  ],
  "abstract": "This submission has been withdrawn by arXiv admins due to fraudulent affiliation claims by the original submitter.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-08-15T19:20:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N05",
      "11Y35"
    ],
    "keywords": [
      "prime numbers",
      "explicit estimates",
      "fraudulent affiliation claims",
      "original submitter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.7158C"
    }
  }
}