Is $\prod\limits_{n=1}^{\infty}\frac{p_{n}^{2}+1}{p_{n}^{2}-1} = 2.5$?

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In this formula, $p_n$ represents the nth prime

$$ \prod\limits_{n=1}^{\infty}\frac{p_{n}^{2}+1}{p_{n}^{2}-1} = 2.5 $$

I don't know if this is true or just a coincidence but if someone can help me figure it out that would be much appreciated