KnowraGreen–Tao theoremLinked fromLinked fromThe 7 pages that link to Green–Tao theorem, each with the reason it gives.All 7Broader topic 1Related 4Compared with 2Dirichlet's theorem on arithmetic progressionsRelated: It extends the theme from primes within a fixed progression to progressions formed entirely of primes.Prime gapsRelated: It concerns additive patterns among primes rather than the differences of consecutive primes.Twin prime conjectureCompared with: It proves striking patterns among primes, but does not force two primes to differ by two.Additive combinatoricsBroader topic: Its proof combines additive structure with relative density inside the primes.Terence TaoRelated: Tao and Ben Green proved that primes contain progressions of every finite length.Brun's theoremCompared with: It proves an infinitude result for structured prime patterns, unlike Brun's reciprocal-sum result.Szemerédi's theoremRelated: It combines Szemerédi's dense-set principle with relative methods to handle primes.