Definition:Gelfond-Schneider Constant/Historical Note

Historical Note on Gelfond-Schneider Constant
The Gelfond-Schneider constant arises in the context of the $7$th of the Hilbert $23$: the Gelfond-Schneider Theorem.

believed that determining whether certain numbers are irrational or transcendental would be a problem more difficult than the Riemann Hypothesis of Fermat's Last Theorem.

However, $2^{\sqrt 2}$ was proved transcendental in $1930$, while Fermat's Last Theorem held out till $1994$ and the Riemann Hypothesis still refuses to yield.