KnowraCatalan's conjectureLinked fromLinked fromThe 5 pages that link to Catalan's conjecture, each with the reason it gives.All 5Broader topic 2Related 1Compared with 2Diophantine equationBroader topic: It isolates an exceptionally rare integer coincidence between powers.Zsigmondy's theoremCompared with: Its resolution concerns exceptional coincidences between powers, not primitive prime divisors.Catalan–Mersenne conjectureRelated: The shared name distinguishes this conjecture from a separate problem associated with Catalan.Goormaghtigh conjectureCompared with: Unlike Goormaghtigh's conjecture, this neighboring exponential equation has been completely resolved.Tijdeman's theoremBroader topic: It is the sharp special case where the fixed difference equals one.