{
  "id": "1105.1621",
  "version": "v1",
  "published": "2011-05-09T10:24:04.000Z",
  "updated": "2011-05-09T10:24:04.000Z",
  "title": "The equation $ω(n)=ω(n+1)$",
  "authors": [
    "Jan-Christoph Schlage-Puchta"
  ],
  "comment": "The result is no obsolete: Buttkewitz found a non-computational proof, and the Goldston-Pintz-Yildirim-sieve yields more precise information",
  "journal": "Mathematika 50 (2003), no. 1-2, 99--101 (2005)",
  "doi": "10.1112/S0025579300014820",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that there are infinitely many integers $n$ such that $n$ and $n+1$ have the same number of distinct prime divisors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-09T10:24:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N37"
    ],
    "keywords": [
      "distinct prime divisors"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.1621S"
    }
  }
}