Question 112
An integer $n$ is chosen uniformly at random from the set $\{1,2,3, \ldots, 2023!\}$. Compute the probability that
$$
\gcd\left(n^{n}+50, n+1\right)=1
$$
$$
\gcd\left(n^{n}+50, n+1\right)=1
$$
Math Olympiad Vault · MathNet 2023-part-07 — 187 problems (EN–VI)