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Indian Mathematical Olympiad 1986 - Problem 7

Source:

August 13, 2009
algebra proposedalgebra

Problem Statement

If a a, b b, x x, y y are integers greater than 1 such that a a and b b have no common factor except 1 and x^a \equal{} y^b show that x \equal{} n^b, y \equal{} n^a for some integer n n greater than 1.
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