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∏p primep2p2+1 \large \prod_{p \text{ prime}} \dfrac{p^2}{p^2 + 1 } p prime∏p2+1p2
If the product above is equal to πAB \frac{\pi^A}{B} BπA for positive integers AAA and BBB, find 2A+B2A+B2A+B.
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