"Carol prime" meaning in English

{
  "forms": [
    {
      "form": "Carol primes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Carol prime (plural Carol primes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
        },
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          "name": "Pages with 1 entry",
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          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        },
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          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
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          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2011, Scott B. Guthery, The Farey Sieve, page 8:",
          "text": "Carol Primes: FareySieve[{(2^#-1)^2-2&}]",
          "type": "quote"
        },
        {
          "ref": "2019, Bruce Pyne, Prime Recreations: An Olio of Curios about Prime Numbers, page 29:",
          "text": "16,127 The fifth Carol prime of the form (2n – 1)² – 2",
          "type": "quote"
        },
        {
          "ref": "2021, Elena Deza, Mersenne Numbers And Fermat Numbers, page 138:",
          "text": "By this approach, the Kynèa primes and the Carol primes can be consider as examples of generated Mersenne primes, with the polynomials f(x) = x² ± 2x − 1.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A Carol number that is also a prime number."
      ],
      "id": "en-Carol_prime-en-noun-LcNlb6~2",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Carol number",
          "Carol number"
        ],
        [
          "prime number",
          "prime number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A Carol number that is also a prime number."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Carol prime"
}

{
  "forms": [
    {
      "form": "Carol primes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Carol prime (plural Carol primes)",
      "name": "en-noun"
    }
  ],
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English countable nouns",
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        "English eponyms",
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        "English terms with quotations",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics",
        "en:Number theory"
      ],
      "examples": [
        {
          "ref": "2011, Scott B. Guthery, The Farey Sieve, page 8:",
          "text": "Carol Primes: FareySieve[{(2^#-1)^2-2&}]",
          "type": "quote"
        },
        {
          "ref": "2019, Bruce Pyne, Prime Recreations: An Olio of Curios about Prime Numbers, page 29:",
          "text": "16,127 The fifth Carol prime of the form (2n – 1)² – 2",
          "type": "quote"
        },
        {
          "ref": "2021, Elena Deza, Mersenne Numbers And Fermat Numbers, page 138:",
          "text": "By this approach, the Kynèa primes and the Carol primes can be consider as examples of generated Mersenne primes, with the polynomials f(x) = x² ± 2x − 1.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A Carol number that is also a prime number."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Carol number",
          "Carol number"
        ],
        [
          "prime number",
          "prime number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A Carol number that is also a prime number."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Carol prime"
}