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What is the sum of the 2\displaystyle 22 smallest possible values of n∈Z\displaystyle n \in \mathbb{Z}n∈Z, such that both 2n+1\displaystyle 2n+12n+1 and 3n+1\displaystyle 3n+13n+1 are perfect squares?
Bonus Find the GCD of all such nnn.
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