Question 9
An integer $m \gt 1$ is rich if for any positive integer $n$, there exist positive integers $x, y, z$ such that $n = m x^{2} - y^{2} - z^{2}$. An integer $m \gt 1$ is poor if it is not rich.
a) Find a poor integer.
b) Find a rich integer.
a) Find a poor integer.
b) Find a rich integer.