But if 11n + 32 = 1, then n = -31/11, which isn't an integer input.
In fact, if 11n + 32 = -1, we get n = -3,, which is the other solution to q(n) being prime. So my question then is, why are we testing if 11n + 32 = -1 and if n = -1.
I could just say it works because "it works", but... why?