Question 30
Find the smallest positive integer $N$ that satisfies the following two conditions:
* $N$ has at least two distinct prime factors.
* For any prime factors $p$ and $q$ of $N$, with $p$ different from $q$, the sum $p+q$ divides $N$.
* $N$ has at least two distinct prime factors.
* For any prime factors $p$ and $q$ of $N$, with $p$ different from $q$, the sum $p+q$ divides $N$.