Is there any parametric formula to solutions of the equation $a^3+b^3+c^3=d^3$, where $a,b,c,d$ are all integers, yielding all such $(a,b,c,d)$ satisfying the equation? Thank you very much.
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2Yes, there are parametric solutions, see this MO-question. But it is not known how to obtain all solutions. – Dietrich Burde Dec 06 '19 at 14:38
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1@Dietrich Burde Thanks so much. +1 for your detailed explanation to the problem. – Fermat Dec 06 '19 at 14:48