The celebrated Green-Tao theorem states that the prime numbers contain arbitrarily long arithmetic progressions. We give an exposition of the proof, incorporating several simplifications that have been discovered since the original paper.
Cite this article
David Conlon, Jacob Fox, Yufei Zhao, The Green-Tao theorem: an exposition. EMS Surv. Math. Sci. 1 (2014), no. 2 pp. 249–282