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The n-th smallest number in a set

Source: India Postal Set 1 P4 2016

January 18, 2017
number theoryinequalitiesalgebra

Problem Statement

Suppose nn is a perfect square. Consider the set of all numbers which is the product of two numbers, not necessarily distinct, both of which are at least nn. Express the nāˆ’n-th smallest number in this set in terms of nn.
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