True or False: The minimum value of n for which $\tan^{-1}\Large {\frac{n}{\pi}}\;>\Large {\frac{\pi}{4}},\normalsize\;n\in N,$ is valid is 5

Question

$\begin{array}{1 1} \text{False, Minimum Value is 4} \\ \text{Yes Minimum Value if 5} \\ \text{False, Minimum Value is 3} \\ \text{Cannot be Determined }\end{array}$