PUMaC 2017 Number Theory B Problem 7

Let p(n) = n^4 - 6n^2 - 160. If a_n is the least odd prime dividing q(n) = |p(n - 30) \cdot p(n + 30)|, find \sum_{n=1}^{2017} a_n. (Note: a_n = 3 if q(n) = 0.)