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Equation dio

Source: Tuymaada 2016, P4, Senior

July 20, 2016
number theory proposedDiophantine Equationsnumber theoryTuymaada 2016

Problem Statement

For each positive integer kk find the number of solutions in nonnegative integers x,y,zx,y,z with x≤y≤zx\le y \le z of the equation 8k=x3+y3+z3−3xyz8^k=x^3+y^3+z^3-3xyz
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