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x^3-3x=1728^y 1733^z -17

Source: Own (Oliforum contest 2009/round2/3)

October 18, 2009
modular arithmeticcalculusintegrationalgebrapolynomialfunctionquadratics

Problem Statement

Find all (x,y,z)āˆˆZ3 (x,y,z) \in \mathbb{Z}^3 such that x^3 \minus{} 5x \equal{} 1728^{y}\cdot 1733^z \minus{} 17. (Paolo Leonetti)
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