KnowraLucas sequenceLinked fromLinked fromThe 7 pages that link to Lucas sequence, each with the reason it gives.All 7Broader topic 1Related 5Narrower topic 1Fibonacci sequenceRelated: It generalizes the same recurrence beyond the initial pair 0, 1.Édouard LucasBroader topic: Lucas studied these sequences and used their divisibility properties in number theory.Catalan's conjectureRelated: Mihăilescu's argument draws on results about divisibility in such sequences.Tower of HanoiRelated: Lucas’s mathematical work provides context for the puzzle’s original author, though not its solution.Ramanujan–Nagell equationRelated: Recurrence sequences arising from algebraic factorization help constrain possible exponents.Zsigmondy's theoremNarrower topic: Primitive-divisor theorems for Lucas sequences generalize the setting of Zsigmondy's result.Cassini's identityRelated: Cassini-type identities extend naturally to these recurrence sequences.