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The smallest integer n for which $$4^{n} > 17^{19}$$ holds, is closest to
$$4^{n} > 17^{19}$$
$$\Rightarrow$$ $$16^{n/2} > 17^{19}$$
Therefore, we can say that n/2 > 19
n > 38
Hence, option D is the correct answer.
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