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Looks scare but no

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October 23, 2024
TSTChilenumber theory

Problem Statement

Determine the smallest positive integer n n with the following property: for every triple of positive integers x,y,z x, y, z , with x x dividing y3 y^3 , y y dividing z3 z^3 , and z z dividing x3 x^3 , it also holds that (xyz) (xyz) divides (x+y+z)n (x + y + z)^n .
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