"Green-Tao theorem" meaning in English

{
  "etymology_text": "Proved by Ben Green and Terence Tao in 2004.",
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          "text": "The Green-Tao theorem on primes was a similar collaboration. Green is a specialist in an area called number theory, and Tao originally trained in an area called harmonic analysis.",
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        "A theorem stating that the sequence of prime numbers contains arbitrarily long arithmetic progressions."
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      "raw_glosses": [
        "(number theory) A theorem stating that the sequence of prime numbers contains arbitrarily long arithmetic progressions."
      ],
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        "mathematics",
        "number-theory",
        "sciences"
      ]
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  "word": "Green-Tao theorem"
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{
  "etymology_text": "Proved by Ben Green and Terence Tao in 2004.",
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        "A theorem stating that the sequence of prime numbers contains arbitrarily long arithmetic progressions."
      ],
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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"
}