"Green-Tao theorem" meaning in All languages combined

{
  "etymology_text": "Proved by Ben Green and Terence Tao in 2004.",
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      "form": "the Green-Tao theorem",
      "tags": [
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  "lang_code": "en",
  "pos": "name",
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      "glosses": [
        "A theorem stating that the sequence of prime numbers contains arbitrarily long arithmetic progressions."
      ],
      "id": "en-Green-Tao_theorem-en-name-EShGRBzh",
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          "arithmetic progression",
          "arithmetic progression"
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      ],
      "raw_glosses": [
        "(number theory) A theorem stating that the sequence of prime numbers contains arbitrarily long arithmetic progressions."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "Green-Tao theorem"
}

{
  "etymology_text": "Proved by Ben Green and Terence Tao in 2004.",
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    {
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      "tags": [
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  "lang_code": "en",
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        "(number theory) A theorem stating that the sequence of prime numbers contains arbitrarily long arithmetic progressions."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "Green-Tao theorem"
}