Question 93
be $m$ and $n$ two integers such as $0 \leqslant m \leqslant 2n$. Prove that the integer
$$
2^{2n+2} + 2^{m+2} + 1
$$
is a perfect square if, and only if, $m = n$.
$$
2^{2n+2} + 2^{m+2} + 1
$$
is a perfect square if, and only if, $m = n$.