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
what am I missing? by pcbouhid)
oops, pcbouhid comment prompts me to realize that x and y are probably
always different, which means the extra term I had of 2n+1 should not
be there. However, how do we know all of these products are different?
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Posted by owl
on 2005-08-16 20:32:05 |