KnowraDirichlet's theorem on arithmetic progressionsLinked fromLinked fromThe 18 pages that link to Dirichlet's theorem on arithmetic progressions, each with the reason it gives.All 18Broader topic 3Related 9Narrower topic 2Compared with 4Diophantine approximationCompared with: It is a distinct theorem by Dirichlet, unlike his foundational approximation theorem.Chebotarev density theoremCompared with: It is the abelian arithmetic-progression case that Chebotarev broadly generalizes.Sophie Germain primeCompared with: It guarantees primes in simple progressions, but does not establish infinitely many Sophie Germain primes.Brun–Titchmarsh theoremCompared with: Dirichlet’s theorem guarantees infinitude; Brun–Titchmarsh gives a quantitative upper bound.