{
  "aliases": null,
  "backlinks": [
    {
      "field": "specializes",
      "target": "0F3Z22M2GT"
    },
    {
      "field": "defines",
      "target": "0GJBJ19NXR"
    }
  ],
  "body": "\n## Summary\n\nA Mersenne number is an integer of the form $2^n - 1$, one less than a power of two.\nThe [[definition of a Mersenne number|0GJBJ19NXR]] gives the precise form.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "inventory": [
      "4GNB3KXZRE"
    ],
    "kind": "concept",
    "msc": [
      "11A41"
    ],
    "name": "Mersenne number",
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Mersenne_prime"
      }
    ],
    "tag": "0YAG43TCXQ"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/0YAG43TCXQ/",
  "links": null,
  "markdown": "https://tamnd.github.io/math2/node/0YAG43TCXQ.md",
  "msc": [
    "11A41"
  ],
  "name": "Mersenne number",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0YA/0YAG43TCXQ.md",
  "status": null,
  "tag": "0YAG43TCXQ",
  "uri": "m2://0YAG43TCXQ",
  "url": "https://tamnd.github.io/math2/wiki/mersenne-number/",
  "writing": {
    "tag": "0YAG43TCXQ",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      }
    ]
  }
}
