KnowraLegendre's conjectureLinked fromLinked fromThe 5 pages that link to Legendre's conjecture, each with the reason it gives.All 5Broader topic 1Related 2Compared with 2Adrien-Marie LegendreBroader topic: Legendre proposed this striking claim about the distribution of primes.Prime gapsRelated: It would impose a simple upper bound on gaps throughout the number line.Twin prime conjectureCompared with: It concerns prime gaps too, but asks for a much broader interval than two.Bertrand's postulateCompared with: It proposes prime existence in shorter, differently positioned intervals and remains unproved.Brocard's conjectureRelated: Its square-bounded intervals resemble Brocard's, but their endpoints are consecutive integer squares.