Science art , math art, acrylic and oil pastel on canvas, 110X160cm
Ben Joseph Green is a British mathematician, interested in number theory and combinatorics, having published several results in both fields. Terence Chu-Shen Tao is an Australian mathematician working in random, matrix theory, analytic number theory, combinatorics, and some other fields of mathematics. In 2004 the two mathematicians solved an old conjecture according to which the sequence of prime numbers contains arbitrary long arithmetic progressions. (That is: we can always find somewhere in the infinity of integers a progression of prime numbers of any length with equal spacing – like 3, 7, and 11, which is a progression of primes with 4 spacing, and it is a 3 number progression as the next number, 15, is not a prime.) This theory is called the Green-Tao theorem, which is an extension of Szemerédi’s theorem (in 1975 Endre Szemerédi solved the Erdős-Turán conjecture for the general k).