{
  "id": "2101.09906",
  "version": "v1",
  "published": "2021-01-25T06:07:05.000Z",
  "updated": "2021-01-25T06:07:05.000Z",
  "title": "A note on Carmichael numbers in residue classes",
  "authors": [
    "Carl Pomerance"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Improving on some recent results of Matom\\\"aki and of Wright, we show that the number of Carmichael numbers to $X$ in a coprime residue class exceeds $X^{1/(6\\log\\log\\log X)}$ for all sufficiently large $X$ depending on the modulus of the residue class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-25T06:07:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N25"
    ],
    "keywords": [
      "carmichael numbers",
      "coprime residue class exceeds",
      "sufficiently large"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}