## 07 Aug Math Art | Green-Tao Theorem with Endre Szemerédi

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*).

Entered in the 1st MODESSQE International painting contests in Poland. Received a distiction making it a part of their”Perfectionists” main collection.

Modessqe 1st International Painting Contest organised at Skwer “Fabryka Trzciny Art Center”, Warsaw, Poland.

Oliver Sin is exhibiting at the Modessqe 1st International Painting Contest organized at Skwer – a branch of the Fabryka Trzciny Art Center, Warsaw, Poland.The topic of the first edition of the Contest is “Perfectionists”.The awards include the royalty fee: Grand Prix – €3500, €1600 – for the second place, €1200 – for the third place and 5 x €700 – for Honourable Mentions and Distinctions.Full list of artist: Arkadiusz Andrejkow, Katarina Balunova, Natalia Bazowska, Grzegorz Bozek, Monika Chlebek, Piotr Kmita, Bartosz Kokosinski, Piotr Korzeniowski, Agata Kus, Paraic Leahy, Jakub Laczny, Pawel Matyszewski, Anita Mikas, Marta Nadolle, Lukasz Patelczyk, Oliver Sin, Seweryn Swacha, Sebastian Sleczka, Marta Tomasik, Artur Trojanowski, Jane Walker. The Award Ceremony will be held on the 6th of September 2013.

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