\begin{definition}[Definition:Gelfond-Schneider Constant]
The '''Gelfond-Schneider constant''' is defined as $2$ raised to the power of the square root of $2$:
:$2^{\sqrt 2}$
Its decimal expansion begins:
:$2^{\sqrt 2} \approx 2 \cdotp 66514 \, 4$
{{OEIS|A007507}}
{{NamedforDef|Alexander Osipovich Gelfond|name2 = Theodor Schneider|cat = Gelfond|cat2 = Schneider}}
\end{definition}