Gelfond–Schneider_constant
The Gelfond–Schneider constant or Hilbert number[1] is two to the power of the square root of two:
- 2√2 = 2.6651441426902251886502972498731...
which was proved to be a transcendental number by Rodion Kuzmin in 1930.[2] In 1934, Aleksandr Gelfond and Theodor Schneider independently proved the more general Gelfond–Schneider theorem,[3] which solved the part of Hilbert's seventh problem described below.