"Fermat number" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "",
        "2": "n",
        "3": "N"
      },
      "expansion": "N",
      "name": "yesno"
    },
    {
      "args": {
        "1": "lawyer and amateur mathematician",
        "2": "",
        "3": "",
        "4": "",
        "5": ""
      },
      "expansion": "lawyer and amateur mathematician",
      "name": "named-after/list"
    },
    {
      "args": {},
      "expansion": "|",
      "name": "!"
    },
    {
      "args": {
        "1": "en",
        "2": "Pierre de Fermat"
      },
      "expansion": "Pierre de Fermat",
      "name": "lang"
    },
    {
      "args": {
        "1": "en",
        "2": "Pierre de Fermat",
        "born": "1601",
        "died": "1665",
        "nat": "French",
        "occ": "lawyer and amateur mathematician",
        "wplink": "="
      },
      "expansion": "Named after French lawyer and amateur mathematician Pierre de Fermat (1601–1665)",
      "name": "named-after"
    }
  ],
  "etymology_text": "Named after French lawyer and amateur mathematician Pierre de Fermat (1601–1665).",
  "forms": [
    {
      "form": "Fermat numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Fermat number (plural Fermat numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "An integer which is one more than two raised to a power which is itself a power of two (i.e., is expressible in the form 2^(2ⁿ)+1 for some n>0); equivalently, a number that is one more than two raised to some power (is expressible as 2ⁿ+1) and is prime."
      ],
      "id": "en-Fermat_number-en-noun-Gl75pWJb",
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "prime",
          "prime"
        ]
      ],
      "raw_glosses": [
        "(number theory) An integer which is one more than two raised to a power which is itself a power of two (i.e., is expressible in the form 2^(2ⁿ)+1 for some n>0); equivalently, a number that is one more than two raised to some power (is expressible as 2ⁿ+1) and is prime."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "translations": [
        {
          "code": "pl",
          "lang": "Polish",
          "lang_code": "pl",
          "sense": "integer which is one more than two raised to a power which is itself a power of two",
          "tags": [
            "feminine"
          ],
          "word": "liczba Fermata"
        }
      ]
    }
  ],
  "word": "Fermat number"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "",
        "2": "n",
        "3": "N"
      },
      "expansion": "N",
      "name": "yesno"
    },
    {
      "args": {
        "1": "lawyer and amateur mathematician",
        "2": "",
        "3": "",
        "4": "",
        "5": ""
      },
      "expansion": "lawyer and amateur mathematician",
      "name": "named-after/list"
    },
    {
      "args": {},
      "expansion": "|",
      "name": "!"
    },
    {
      "args": {
        "1": "en",
        "2": "Pierre de Fermat"
      },
      "expansion": "Pierre de Fermat",
      "name": "lang"
    },
    {
      "args": {
        "1": "en",
        "2": "Pierre de Fermat",
        "born": "1601",
        "died": "1665",
        "nat": "French",
        "occ": "lawyer and amateur mathematician",
        "wplink": "="
      },
      "expansion": "Named after French lawyer and amateur mathematician Pierre de Fermat (1601–1665)",
      "name": "named-after"
    }
  ],
  "etymology_text": "Named after French lawyer and amateur mathematician Pierre de Fermat (1601–1665).",
  "forms": [
    {
      "form": "Fermat numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Fermat number (plural Fermat numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Polish translations",
        "en:Number theory"
      ],
      "glosses": [
        "An integer which is one more than two raised to a power which is itself a power of two (i.e., is expressible in the form 2^(2ⁿ)+1 for some n>0); equivalently, a number that is one more than two raised to some power (is expressible as 2ⁿ+1) and is prime."
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "prime",
          "prime"
        ]
      ],
      "raw_glosses": [
        "(number theory) An integer which is one more than two raised to a power which is itself a power of two (i.e., is expressible in the form 2^(2ⁿ)+1 for some n>0); equivalently, a number that is one more than two raised to some power (is expressible as 2ⁿ+1) and is prime."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "pl",
      "lang": "Polish",
      "lang_code": "pl",
      "sense": "integer which is one more than two raised to a power which is itself a power of two",
      "tags": [
        "feminine"
      ],
      "word": "liczba Fermata"
    }
  ],
  "word": "Fermat number"
}