olymmath

CGMO 2011 Problem 1

    Find all positive integers nn such that the equation 1x+1y=1n\frac{1}{x} + \frac{1}{y} = \frac{1}{n} has exactly 20112011 positive integer solutions (x,y)(x,y) where x≤yx \leq y .

    Dataset text AI-MO AoPS. Quoted with source.

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