The smallest integer n for which $4^{n} > 17^{19}$ holds, is closest to
37
35
33
39
$4^{n} > 17^{19}$
$\Rightarrow$ $16^{n/2} > 17^{19}$
Therefore, we can say that n/2 > 19
n > 38
Hence, option D is the correct answer.