Is 2 to the power of Pi Rational?

Open Question

It is not known whether $2$ to the power of $\pi$ (pi):

$2^\pi$

is rational or irrational.


Sources

  • 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {B}.18$: Algebraic and Transcendental Numbers. $e$ is Transcendental