{
  "id": "1504.00533",
  "version": "v1",
  "published": "2015-04-02T13:03:07.000Z",
  "updated": "2015-04-02T13:03:07.000Z",
  "title": "Almost prime tripes and Chen's Theorem",
  "authors": [
    "D. R. Heath-Brown",
    "Xiannan Li"
  ],
  "comment": "21 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that there are infinitely many primes $p$ such that not only does $p + 2$ have at most two prime factors, but $p + 6$ also has a bounded number of prime divisors. This refines the well known result of Chen.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-02T13:03:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P32"
    ],
    "keywords": [
      "prime tripes",
      "chens theorem",
      "prime factors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150400533H"
    }
  }
}