Question 68
For any positive integer $n$, define
$$
X_n = \frac{n!}{2010n^2 + 2010n + 1}
$$
Show that $X_n$ is an integer for infinitely many $n$.
$$
X_n = \frac{n!}{2010n^2 + 2010n + 1}
$$
Show that $X_n$ is an integer for infinitely many $n$.
MathNet 2010 — Part 02 Question 68
Math Olympiad Vault · MathNet 2010 — Part 02