Word.ws English Dictionary

Green-Tao theorem

Green-Tao theorem proper noun: a theorem stating that the sequence of prime numbers contains arbitrarily long arithmetic progressions.

Proper noun

the Green-Tao theorem

  1. A theorem stating that the sequence of prime numbers contains arbitrarily long arithmetic progressions.
    • 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.2015 July 24, Gareth Cook, “The Singular Mind of Terry Tao”, in The New York Times Magazine, New York, N.Y.: The New York Times Company, →ISSN, →OCLC, archived from the original on 18 Mar 2020

Origin of Green-Tao theorem

Proved by Ben Green and Terence Tao in 2004.

Questions about Green-Tao theorem

What does Green-Tao theorem mean?
Green-Tao theorem means a theorem stating that the sequence of prime numbers contains arbitrarily long arithmetic progressions.
What part of speech is Green-Tao theorem?
Green-Tao theorem is a proper noun.

Words near Green-Tao theorem in the dictionary

  1. green-tailed towhee
  2. green-tailed towhees
  3. green-tailed trainbearer
  4. green-tailed trainbearers
  5. green-tails
  6. Green-Tao theorem
  7. green-tea cake
  8. green-tea cakes
  9. green-thumbed
  10. green-to-green
  11. green-tree ant

Source and license

Adapted from Wiktionary: Green-Tao theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “Green-Tao theorem.” Word.ws, https://word.ws/green-tao_theorem. Based on Wiktionary, CC BY-SA 4.0.