Question 89
Determine all triples $(m, n, p)$ satisfying
$$
n^{2p} = m^2 + n^2 + p + 1
$$
where $m$ and $n$ are integers and $p$ is a prime number.
$$
n^{2p} = m^2 + n^2 + p + 1
$$
where $m$ and $n$ are integers and $p$ is a prime number.
Math Olympiad Vault · MathNet 2012