"Schinzel's hypothesis H" meaning in English

{
  "etymology_text": "Named after Andrzej Schinzel.",
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
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          "name": "Number theory",
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      "glosses": [
        "A famous open problem in mathematics, the hypothesis stating that, for every finite collection f_1,f_2,…,f_k of non-constant irreducible polynomials over the integers with positive leading coefficients, one of the following conditions holds: (i) there are infinitely many positive integers n such that all of f_1(n),f_2(n),…,f_k(n) are simultaneously prime numbers, or (ii) there is an integer m>1 (called a fixed divisor) which always divides the product f_1(n)f_2(n)⋯f_k(n)."
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      "id": "en-Schinzel's_hypothesis_H-en-name-Qo2fV~gl",
      "links": [
        [
          "number theory",
          "number theory"
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        [
          "finite",
          "finite"
        ],
        [
          "collection",
          "collection"
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        [
          "irreducible",
          "irreducible"
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        [
          "polynomial",
          "polynomial"
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        [
          "integer",
          "integer"
        ],
        [
          "coefficient",
          "coefficient"
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        [
          "prime numbers",
          "prime numbers"
        ]
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      "raw_glosses": [
        "(number theory) A famous open problem in mathematics, the hypothesis stating that, for every finite collection f_1,f_2,…,f_k of non-constant irreducible polynomials over the integers with positive leading coefficients, one of the following conditions holds: (i) there are infinitely many positive integers n such that all of f_1(n),f_2(n),…,f_k(n) are simultaneously prime numbers, or (ii) there is an integer m>1 (called a fixed divisor) which always divides the product f_1(n)f_2(n)⋯f_k(n)."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "Andrzej Schinzel"
      ]
    }
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  "word": "Schinzel's hypothesis H"
}

{
  "etymology_text": "Named after Andrzej Schinzel.",
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  "lang_code": "en",
  "pos": "name",
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      "glosses": [
        "A famous open problem in mathematics, the hypothesis stating that, for every finite collection f_1,f_2,…,f_k of non-constant irreducible polynomials over the integers with positive leading coefficients, one of the following conditions holds: (i) there are infinitely many positive integers n such that all of f_1(n),f_2(n),…,f_k(n) are simultaneously prime numbers, or (ii) there is an integer m>1 (called a fixed divisor) which always divides the product f_1(n)f_2(n)⋯f_k(n)."
      ],
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          "number theory",
          "number theory"
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          "finite",
          "finite"
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          "collection",
          "collection"
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          "irreducible",
          "irreducible"
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          "polynomial",
          "polynomial"
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          "integer"
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          "coefficient",
          "coefficient"
        ],
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          "prime numbers",
          "prime numbers"
        ]
      ],
      "raw_glosses": [
        "(number theory) A famous open problem in mathematics, the hypothesis stating that, for every finite collection f_1,f_2,…,f_k of non-constant irreducible polynomials over the integers with positive leading coefficients, one of the following conditions holds: (i) there are infinitely many positive integers n such that all of f_1(n),f_2(n),…,f_k(n) are simultaneously prime numbers, or (ii) there is an integer m>1 (called a fixed divisor) which always divides the product f_1(n)f_2(n)⋯f_k(n)."
      ],
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        "mathematics",
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      "wikipedia": [
        "Andrzej Schinzel"
      ]
    }
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  "word": "Schinzel's hypothesis H"
}