On the largest value of the solutions of Erdős's last equation

István Pink, Csaba Sándor

Let $n$ be a positive integer. The Diophantine equation $n(x_1+x_2+\cdots +x_n)=x_1{x}_2\dots x_n$, $1\le x_1\le x_2\le \cdots \le x_n$ is called Erdős's last equation. We prove that…