"Carol prime" meaning in English

{
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      "form": "Carol primes",
      "tags": [
        "plural"
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    }
  ],
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      "args": {},
      "expansion": "Carol prime (plural Carol primes)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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          "name": "Mathematics",
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      "examples": [
        {
          "ref": "2011, Scott B. Guthery, The Farey Sieve, page 8",
          "text": "Carol Primes: FareySieve[{(2^#-1)^2-2&}]",
          "type": "quotation"
        },
        {
          "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": "quotation"
        },
        {
          "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": "quotation"
        }
      ],
      "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"
}

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    {
      "form": "Carol primes",
      "tags": [
        "plural"
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    }
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      "expansion": "Carol prime (plural Carol primes)",
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  "lang_code": "en",
  "pos": "noun",
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      "examples": [
        {
          "ref": "2011, Scott B. Guthery, The Farey Sieve, page 8",
          "text": "Carol Primes: FareySieve[{(2^#-1)^2-2&}]",
          "type": "quotation"
        },
        {
          "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": "quotation"
        },
        {
          "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": "quotation"
        }
      ],
      "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"
}