2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230993We prove Dejean's conjecture. Specifically, we show that Dejean's conjecture holds for the last remaining open values of n, namely 15 <= n <= 26.proof details addedCombinatoricsFormal Languages and Automata Theory68R15A proof of Dejean's conjecturetext