"Green-Tao theorem" meaning in All languages combined

{
  "etymology_text": "Proved by Ben Green and Terence Tao in 2004.",
  "forms": [
    {
      "form": "the Green-Tao theorem",
      "tags": [
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
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          "kind": "other",
          "name": "English entries with incorrect language header",
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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",
      "links": [
        [
          "number theory",
          "number theory"
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        [
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        [
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        ],
        [
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          "arithmetic progression"
        ]
      ],
      "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.",
  "forms": [
    {
      "form": "the Green-Tao theorem",
      "tags": [
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    }
  ],
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
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      "glosses": [
        "A theorem stating that the sequence of prime numbers contains arbitrarily long arithmetic progressions."
      ],
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        [
          "number theory",
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          "sequence",
          "sequence"
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        ],
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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"
}