KnowraTwin prime conjectureLinked fromLinked fromThe 15 pages that link to Twin prime conjecture, each with the reason it gives.All 15Broader topic 3Related 5Compared with 7Prime number theoremCompared with: The theorem counts primes overall but does not settle whether close pairs persist indefinitely.Dirichlet's theorem on arithmetic progressionsCompared with: Dirichlet handles one fixed residue class, not the simultaneous primality constraints in prime pairs.Goldbach's conjectureCompared with: It is another famous unresolved statement about the distribution of prime numbers.Bombieri–Vinogradov theoremCompared with: The theorem supports bounded-gap progress but does not prove the twin-prime conjecture.Green–Tao theoremCompared with: It asks for a fixed gap, a feature not supplied by arbitrarily long progressions with varying gaps.Brun's theoremCompared with: Brun's theorem leaves this central existence question unanswered.Bunyakovsky conjectureCompared with: It is another unproved prediction about prime patterns, corresponding to simultaneous linear polynomial values.