# Irrationality of powers of $\pi$

Everyone recognizes that $\pi$ is an illogical number, and also one can describe this page for the evidence that $\pi^{2}$ is additionally illogical.

What concerning the highers powers of $\pi$, definition is $\pi^{n}$ illogical for all $n \in \mathbb{N}$ or does there exists a $m \in \mathbb{N}$ when $\pi^{m}$ is sensible.

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