2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166355For an odd positive integer $n\ge 5$, assuming the truth of the $abc$ conjecture, we show that for a positive proportion of pairs $(a,b)$ of integers the trinomials of the form $t^n+at+b (a,b\in \mathbb Z)$ are irreducible and their discriminants are squarefree.9 PagesNumber Theory11R09,11C08text