{
  "id": "2211.08844",
  "version": "v1",
  "published": "2022-11-16T11:44:23.000Z",
  "updated": "2022-11-16T11:44:23.000Z",
  "title": "An explicit version of Chen's theorem assuming the Generalized Riemann Hypothesis",
  "authors": [
    "Matteo Bordignon",
    "Valeriia Starichkova"
  ],
  "comment": "23 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that assuming the Generalized Riemann Hypothesis every even integer larger than $\\exp(\\exp(15.85))$ can be written as the sum of a prime number and a number that has at most two prime factors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-16T11:44:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P32",
      "11N36",
      "11N13"
    ],
    "keywords": [
      "generalized riemann hypothesis",
      "chens theorem assuming",
      "explicit version",
      "integer larger",
      "prime number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}