{
  "id": "1203.1273",
  "version": "v1",
  "published": "2012-03-06T18:30:50.000Z",
  "updated": "2012-03-06T18:30:50.000Z",
  "title": "On a particular case of the Dirichlet's theorem and the Midy's property",
  "authors": [
    "John H. Castillo",
    "Gilberto García-Pulgarín",
    "Juan Miguel Velásquez-Soto"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give new characterizations of the Midy's property and using these results we obtain a new proof of a special case of the Dirichlet's theorem about primes in arithmetic progression.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-06T18:30:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A05",
      "11A07",
      "11A15",
      "11A63",
      "16U60"
    ],
    "keywords": [
      "dirichlets theorem",
      "midys property",
      "special case",
      "arithmetic progression"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.1273C"
    }
  }
}