Ononot — Let xn = 3^{2^n} + 1 for n \ge 0. What is the greatest commo

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Divisibilityhard

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Let $x_n = 3^{2^n} + 1$ for $n \ge 0$ . What is the greatest common divisor of $x_m$ and $x_n$ for any distinct non-negative integers $m$ and $n$ ?