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Aug 16, 2019 at 7:42 vote accept Dominic van der Zypen
Aug 16, 2019 at 7:42 comment added Achim Krause Yes it is. He explained how the trivial solution $(a, b) =(0, n) $, which was excluded in the question, gives rise to a solution in positive integers $(a, b)=(n^3,n)$ for any $n$.
Aug 16, 2019 at 7:03 comment added Fan Zheng This is not an answer.
Aug 16, 2019 at 6:59 history answered Dmitry Krachun CC BY-SA 4.0