"primehood" meaning in English

{
  "etymology_templates": [
    {
      "args": {
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        "2": "prime",
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      "expansion": "prime + -hood",
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    }
  ],
  "etymology_text": "From prime + -hood.",
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      "expansion": "primehood (uncountable)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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      "examples": [
        {
          "ref": "2008 January 31, Bart Van Kerkhove, Jean Paul Van Bendegem, “Pi on Earth, or Mathematics in the Real World”, in Erkenntnis, volume 68, number 3, →DOI:",
          "text": "Because it involves the addition of numbers defined in terms of multiplication, this problem is as hard to tackle as it is easy to phrase and grasp (as for the latter, it only takes one to master the concepts of evenness and primehood).",
          "type": "quote"
        }
      ],
      "glosses": [
        "The quality of being a prime number; primeness."
      ],
      "id": "en-primehood-en-noun-85itZgnQ",
      "links": [
        [
          "prime number",
          "prime number"
        ],
        [
          "primeness",
          "primeness"
        ]
      ],
      "raw_glosses": [
        "(rare) The quality of being a prime number; primeness."
      ],
      "tags": [
        "rare",
        "uncountable"
      ]
    }
  ],
  "word": "primehood"
}

{
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    {
      "args": {
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        "2": "prime",
        "3": "hood"
      },
      "expansion": "prime + -hood",
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    }
  ],
  "etymology_text": "From prime + -hood.",
  "head_templates": [
    {
      "args": {
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      "expansion": "primehood (uncountable)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        {
          "ref": "2008 January 31, Bart Van Kerkhove, Jean Paul Van Bendegem, “Pi on Earth, or Mathematics in the Real World”, in Erkenntnis, volume 68, number 3, →DOI:",
          "text": "Because it involves the addition of numbers defined in terms of multiplication, this problem is as hard to tackle as it is easy to phrase and grasp (as for the latter, it only takes one to master the concepts of evenness and primehood).",
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        }
      ],
      "glosses": [
        "The quality of being a prime number; primeness."
      ],
      "links": [
        [
          "prime number",
          "prime number"
        ],
        [
          "primeness",
          "primeness"
        ]
      ],
      "raw_glosses": [
        "(rare) The quality of being a prime number; primeness."
      ],
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        "rare",
        "uncountable"
      ]
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  "word": "primehood"
}