Gelfond's Constant is Transcendental/Historical Note

Historical Note on Gelfond's Constant is Transcendental
The transcendental nature of Gelfond's constant $e^\pi$ was established in $1929$ by.

It was since determined to be a special case of the Gelfond-Schneider Theorem, established.

The problem of the irrationality or transcendence of irrational powers of irrational numbers was the $7$th of the Hilbert $23$.

had mistakenly anticipated that such problems were on a par with the Riemann Hypothesis or Fermat's Last Theorem.