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 re(2): what am I missing? by pcbouhid)

How about the sequence {1,2,3,4,5,6}?
2*6=12
3*4=12
Does this help?

Posted by owl on 2005-08-16 20:43:22