2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142618We give a simple and independent proof of the result of Jack Button and Paul Schmutz that the Markoff conjecture on the uniqueness of the Markoff triples (a,b,c), where a, b, and c are in increasing order, holds whenever $c$ is a prime power.5 pages, no figuresNumber TheoryGroup TheoryGeometric Topology11D45;11H55;11J06;20H10A simple proof of the Markoff conjecture for prime powerstext