\begin{definition}[Definition:Brown Numbers]
'''Brown numbers''' are pairs of integers $\left({m, n}\right)$ such that:
:$n! + 1 = m^2$
There are only $3$ known such pairs:
:$\left({5, 4}\right)$
:$\left({11, 5}\right)$
:$\left({71, 7}\right)$
\end{definition}