English

The Green-Tao theorem: an exposition

Number Theory 2018-03-06 v4 Combinatorics

Abstract

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.

Keywords

Cite

@article{arxiv.1403.2957,
  title  = {The Green-Tao theorem: an exposition},
  author = {David Conlon and Jacob Fox and Yufei Zhao},
  journal= {arXiv preprint arXiv:1403.2957},
  year   = {2018}
}

Comments

26 pages, 4 figures

R2 v1 2026-06-22T03:25:13.097Z