Question 181
Suppose $a, b, c$ are positive integers such that
$$
\begin{aligned}
& b=a^{2}-a \\
& c=b^{2}-b \\
& a=c^{2}-c
\end{aligned}
$$
Prove that $a=b=c=2$.
$$
\begin{aligned}
& b=a^{2}-a \\
& c=b^{2}-b \\
& a=c^{2}-c
\end{aligned}
$$
Prove that $a=b=c=2$.