Sum divides product?
Number Theory
Level
5
\[ \large \prod_{j=1}^n j \not \equiv 0 \quad \left ( \text{mod} \ \sum_{j=1}^n j \right) \]
For how many integers \(n\) satisfying \(1 \le n \le 180\) is the non-congruence above fulfilled?
You may use this List of Primes as a reference.
by
Dylan Pentland