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In number theory, the Green–Tao theorem, proved by Ben Green and Terence Tao in 2004, states that the sequence of prime numbers contains arbitrarily long arithmetic progressions. In other words, for every natural number k {\displaystyle k} , there exist arithmetic progressions of primes with k {\displaystyle k} terms.
Ben Joseph Green FRS (born 27 February 1977) is a British mathematician, specialising in combinatorics and number theory. He is the Waynflete Professor of Pure Mathematics at the University of Oxford .
Any given arithmetic progression of primes has a finite length. In 2004, Ben J. Green and Terence Tao settled an old conjecture by proving the Green–Tao theorem: The primes contain arbitrarily long arithmetic progressions. [1] It follows immediately that there are infinitely many AP-k for any k.
Terence Chi-Shen Tao FAA FRS (Chinese: 陶哲軒; born 17 July 1975) is an Australian-American mathematician, Fields medalist, and professor of mathematics at the University of California, Los Angeles (UCLA), where he holds the James and Carol Collins Chair in the College of Letters and Sciences.
Announcement by Ben Green and Terence Tao – the preprint is available at math.NT/0404188; Discussion of Szemerédi's theorem (part 1 of 5) Ben Green and Terence Tao: Szemerédi's theorem on Scholarpedia; Weisstein, Eric W. "SzemeredisTheorem". MathWorld. Grime, James; Hodge, David (2012). "6,000,000: Endre Szemerédi wins the Abel Prize ...
Green Bay "Jeopardy!" champ Ben Chan was honored by the Wisconsin Assembly with Joint Resolution 114 at the Capitol in February. He's pictured with Rep. Kristina Shelton (D-Green Bay), who ...
Numberphile is an educational YouTube channel featuring videos that explore topics from a variety of fields of mathematics. [2] [3] In the early days of the channel, each video focused on a specific number, but the channel has since expanded its scope, [4] featuring videos on more advanced mathematical concepts such as Fermat's Last Theorem, the Riemann hypothesis [5] and Kruskal's tree ...
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