olymmath

AIME 1996 Problem 8

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The harmonic mean of two positive integers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs of positive integers (x,y)(x,y) with x<yx<y is the harmonic mean of xx and yy equal to 6206^{20}?

Dataset text AIME 1983 to 2026. Quoted with source.

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799

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