Question 174
The positive integers $m$ and $n$ are such that $m^{2016} + m + n^2$ is divisible by $mn$.
a) Give an example of such $m$ and $n$, with $m \gt n$.
b) Prove that $m$ is a perfect square.
a) Give an example of such $m$ and $n$, with $m \gt n$.
b) Prove that $m$ is a perfect square.