KnowraBombieri–Vinogradov theoremLinked fromLinked fromThe 7 pages that link to Bombieri–Vinogradov theorem, each with the reason it gives.All 7Broader topic 1Related 3Compared with 3Sieve theoryRelated: Distribution estimates of this kind can strengthen sieve arguments beyond their basic bounds.Prime number theorem for arithmetic progressionsBroader topic: It achieves strong distribution across many moduli without assuming the hypothesis.Linnik's theoremRelated: Later analytic number theory strengthened average distribution estimates beyond Linnik's individual-class bound.Elliott–Halberstam conjectureCompared with: The gap between its proven range and the conjectured range is a central unresolved challenge.Siegel–Walfisz theoremCompared with: It reaches much larger moduli on average, while Siegel–Walfisz gives uniform control for each small modulus.Brun–Titchmarsh theoremCompared with: It averages over moduli to obtain distribution information beyond a single-class upper bound.Friedlander–Iwaniec theoremRelated: Average distribution estimates are a major analytic input in sieve-based prime problems.