{
  "id": "2402.10808",
  "version": "v1",
  "published": "2024-02-16T16:35:00.000Z",
  "updated": "2024-02-16T16:35:00.000Z",
  "title": "Most integers are not a sum of two palindromes",
  "authors": [
    "Dmitrii Zakharov"
  ],
  "comment": "3 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "For $g \\ge 2$, we show that the number of positive integers at most $X$ which can be written as sum of two base $g$ palindromes is at most $\\frac{X}{\\log^c X}$. This answers a question of Baxter, Cilleruelo and Luca.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-02-16T16:35:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "palindromes",
      "positive integers",
      "cilleruelo"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}