Green-Tao theorem

proper noun

A theorem stating that the sequence of prime numbers contains arbitrarily long arithmetic progressions.

Meanings

proper nounthe Green-Tao theorem
  1. mathematicsA 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

Proved by Ben Green and Terence Tao in 2004.

Full word history & related roots →
Cite this entry
APA

Green-Tao theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Green-Tao%20theorem

MLA

“Green-Tao theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Green-Tao%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Green-Tao theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Green-Tao%20theorem.

Source: Green-Tao theorem on Wiktionary, CC BY-SA 4.0.