We want to find odd integers $n > 1$ for which $n$ is a factor of $2023 ^ { n } - 1$. (a) Find the two smallest such integers. (b) Prove that there are infinitely many such integers.
We want to find odd integers $n > 1$ for which $n$ is a factor of $2023 ^ { n } - 1$.\\
(a) Find the two smallest such integers.\\
(b) Prove that there are infinitely many such integers.