# A number theory problem by Furkan Nane

**Number Theory**Level 4

For how many positive integer triplets \(a,b,c\) we have \[ (a^3+b)(b^3+a)=2^c?\]

This question is flagged because the answer is not 0. It is clear that \( (1, 1, 2) \) is a solution.

For how many positive integer triplets \(a,b,c\) we have \[ (a^3+b)(b^3+a)=2^c?\]

This question is flagged because the answer is not 0. It is clear that \( (1, 1, 2) \) is a solution.

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