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 Josh70679)
Though there were a couple of parts where I had to pause and convince
myself of the validty, I think this a solid and rather clever argument.
Certainly an argument I would not have thought of in any timely
fashion; Good Job!
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Posted by owl
on 2005-08-16 23:08:40 |
re(3): what am I missing?
