OMA 2014 Problem 5

An integer $n \geq 3$ is called special if it does not divide $\left ( n-1 \right )!\left ( 1+\frac{1}{2}+\cdot \cdot \cdot +\frac{1}{n-1} \right )$ . Find all special numbers $n$ such that $10 \leq n \leq 100$ .