Question 72
A sequence $a_{1}, a_{2}, \ldots$ of positive integers satisfies
$$
a_{n+1}=a_{n}^{3}+103
$$
for every positive integer $n$. Prove that the sequence contains at most one perfect square.
$$
a_{n+1}=a_{n}^{3}+103
$$
for every positive integer $n$. Prove that the sequence contains at most one perfect square.