2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135869Given two cyclotomic polynomials $Φ_n(x)$ and $Φ_m(x)$, $n\not= m$, we determine the minimal natural number k such that we can write $$k=a(x)Φ_n (x)+b(x)Φ_m(x),$$ with a(x) and b(x) integer polynomials.4 pages, Problem 10914 in Amer. Math. Monthly 109 (Jan 2002)Number Theory11C08text