{
  "id": "1404.3480",
  "version": "v1",
  "published": "2014-04-14T08:06:26.000Z",
  "updated": "2014-04-14T08:06:26.000Z",
  "title": "On a Lower Bound for $\\|(4/3)^k\\|$",
  "authors": [
    "Yury Pupyrev"
  ],
  "doi": "10.1142/S1793042115500177",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove, that $$ \\biggl\\|\\biggl(\\frac43\\biggr)^k\\biggr\\| >\\biggl(\\frac49\\biggr)^k\\qquad\\text{for}\\quad k\\ge6, $$ where $\\|\\cdot\\|$ is a distance to the nearest prime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-14T08:06:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bound",
      "nearest prime"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.3480P"
    }
  }
}