{
  "id": "2209.10646",
  "version": "v1",
  "published": "2022-09-21T20:30:42.000Z",
  "updated": "2022-09-21T20:30:42.000Z",
  "title": "Consecutive primes which are widely digitally delicate and Brier numbers",
  "authors": [
    "Michael Filaseta",
    "Jacob Juillerat",
    "Thomas Luckner"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Making use of covering systems and a theorem of D. Shiu, the first and second authors showed that for every positive integer $k$, there exist $k$ consecutive widely digitally delicate primes. They also noted that for every positive integer $k$, there exist $k$ consecutive primes which are Brier numbers. We show that for every positive integer $k$, there exist $k$ consecutive primes that are both widely digitally delicate and Brier numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-21T20:30:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B25",
      "11A07",
      "11A51",
      "11A63"
    ],
    "keywords": [
      "brier numbers",
      "consecutive primes",
      "positive integer",
      "digitally delicate primes",
      "second authors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}