Green-Tao Theorem

The Green-Tao theorem states that the prime numbers contain arbitrary long arithmetic progressions. For example, 5, 11, 17, 23, 29 is a sequence of five primes equally spaced, and so in arithmetic progression, the Green-Tao theorem says that you can find sequences of equally spaced primes which are as long as you like, though the spacing between them might be bigger.

Mathematics

Hot Topic: Arithmetic Combinatorics

The Institute Letter Summer 2008

During the first term of 2007–08, School of Mathematics Professor Jean Bourgain and Member Van Vu of Rutgers, The State University of New Jersey, ran a program on arithmetic combinatorics. The Members in residence for the program ranged from Endre...