Find all possible positive integers (p,q) with p≤q such that (q³+1)/(pq-1) is an integer.
(In reply to re: Solution (a few questions)
When I refered to "both factors", I was refering to (pq-1) and f as in the prevoius statement. As to your second point, it seems I have some more work to do. I was getting cross-eyed looking at all the p's, q's, and n's when I was working on this problem, maybe I will have a solution tomorrow.