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Diophantine No Sols

Source: The 1st India-Iran Friendly Competition Problem 4

June 13, 2024
number theorydiophantine

Problem Statement

Prove that there are no integers x,y,zx, y, z satisfying the equation x2+y2−z2=xyz−2.x^2+y^2-z^2=xyz-2.
Proposed by Navid Safaei
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