2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69077An asymptotic formula for the number of $n \le x$ such that $n$ does not divide $P(n)!$ is given, where P(n) is the largest prime factor of $n$.14 pagesNumber Theory11N25, 11N37On a problem of Erdős involving the largest prime factor of $n$text