Find all couples of positive integers $m$ and $n$ such that $$n!+5=m^3$$
Problem
Source: Mathematics Regional Olympiad of Mexico Southeast 2017 P4
Tags: number theory, Diophantine equation, factorial
Source: Mathematics Regional Olympiad of Mexico Southeast 2017 P4
Tags: number theory, Diophantine equation, factorial
Find all couples of positive integers $m$ and $n$ such that $$n!+5=m^3$$