Is this product: \begin{align*} \prod_{\text{$p$ prime}}\frac{p^2+1}{p^2-1} \end{align*} rational? What is the value of it? What about for the natural numbers $p>1$?
2026-03-29 22:08:18.1774822098
Is the product $(p^2+1)/(p^2-1)$ for all $p$ rational? For all $n$?
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