SE-SKOLORNAS 1984 Problem 5

Solve in natural numbers $a,b,c$ the system $\left\{ \begin{array}{l}a^3 -b^3 -c^3 = 3abc a^2 = 2(a+b+c) \end{array} \right.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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