Damn lateness...
So we have q(n) = n(11n+32). Now for q(n) to be prime, either n = +-1 or 11n+32 = +-1. If n = -1, then q(n) is negative, so it's not prime. But if we have 11n+32 = -1, then we have q(n) positive, and prime. So if you sub n = -3, you get q(n) = 3, which is prime.
n can be any...