Given positive integer n, consider the set of numbers {n²+1, n²+2, ... (n+1)²}. If we pick two numbers x and y out of that set, how many different values can the product xy take?

(In reply to A hint by Federico Kereki)

Yes, I think Josh meant to drop the n^2's, giving (2n+1)n instead. And as a check, this agrees with FK gentle prompting.

Posted by owl on 2005-08-16 23:15:33