{
  "id": "2210.09699",
  "version": "v1",
  "published": "2022-10-18T09:16:03.000Z",
  "updated": "2022-10-18T09:16:03.000Z",
  "title": "Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$",
  "authors": [
    "Kouessi Norbert Adedji",
    "Alan Filipin",
    "Salah Eddine Rihane",
    "Alain Togbe"
  ],
  "comment": "17 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $b$ be a positive integer such that $2 \\leq b \\leq 10$. In this study, we find all Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$. As a corollary, it is show that the largest Pell or Pell-Lucas numbers which can be expressible as a concatenations of two repdigits in base $b$ are $P_{11} = 5741$ and $Q_5 = 82$, respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-18T09:16:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B39",
      "11D61",
      "11J86"
    ],
    "keywords": [
      "pell-lucas numbers",
      "concatenations",
      "largest pell"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}