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MathNet 2011 Question 80

Math Olympiad Vault · MathNet 2011

Question 80

Suppose a positive integer $n$ is a perfect square. Consider the set of numbers that can be represented as the product of 2 numbers, both of which are greater than or equal to $n$ (2 numbers may be the same). Express the number, which is the $n$-th smallest in this set, in terms of $n$.