Ben Joseph Green (born February 27, 1977, Bristol, United Kingdom) is a British mathematician, specializing in combinatorics and number theory. He studied at Cambridge University under William Timothy Gowers. He is as of 2005 a Professor of Mathematics at Bristol University and also a Research Fellow of the Clay Mathematics Institute. He received the Clay Research Award in 2004. February 27 is the 58th day of the year in the Gregorian Calendar. ... 1977 was a common year starting on Saturday (the link is to a full 1977 calendar). ... Bristol is an English city and county and one of the two administrative centres of South West England (the other being Plymouth). ... Combinatorics is a branch of mathematics that studies finite collections of objects that satisfy specified criteria. ... Traditionally, number theory is that branch of pure mathematics concerned with the properties of integers. ... REDIRECT [1] ... William Timothy Gowers (born November 20, 1963, Wiltshire, United Kingdom) is a British mathematician. ... 2005 is a common year starting on Saturday of the Gregorian calendar. ... The University of Bristol was founded in 1876 as the University College, Bristol. ... The Clay Mathematics Institute (CMI) is a private, non-profit foundation, based in Cambridge, Massachusetts, and dedicated to increasing and disseminating mathematical knowledge. ... The Clay Research Award is given annually by the Clay Mathematics Institute to mathematicians to recognize their achievement in mathematical research. ... 2004 is a leap year starting on Thursday of the Gregorian calendar. ...

In 2004, Ben Green and Terence Tao released a preprint which claimed to prove that there exist arbitrarily long arithmetic progressions of prime numbers. Terence Tao (陶哲轩, born July 17, 1975, Adelaide, Australia), is a mathematician working primarily on harmonic analysis, partial differential equations, combinatorics, analytic number theory and representation theory. ... In mathematics, an arithmetic progression is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. ... In mathematics, a prime number (or prime) is a natural number greater than one whose only positive divisors are one and itself. ...

External links

• Ben Green Homepage
• Clay Research Award announcement
• math.NT/0404188 - Preprint on arbitrarily long arithmetic progressions on primes