# Putnam Product!

Algebra Level 3

$\displaystyle\prod _{ n=2 }^{ \infty }{ \frac { { n }^{ 3 }-1 }{ { n }^{ 3 }+1 } }$ The value of the infinite product above can expressed as $$\frac{p}{q}$$ where $$p$$ and $$q$$ are co-prime positive integers. What is the value of $$p+q$$?

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