Gelfond-Schneider constant

The Gelfond-Schneider constantMathworldPlanetmath 22 was one of the first numbers to be proven to be transcendental by appying Gelfond’s theorem. However, naming the constant after Gelfond and Schneider comes from Eric Weisstein, with many people preferring to refer to it simply as 2 to the power of square root of 2MathworldPlanetmath.

Its value in base 10 is approximately 2.66514414269022518865029724987313984827421131371. Its continued fractionDlmfMathworldPlanetmath representation is neither terminating nor periodic, and begins

Title Gelfond-Schneider constant
Canonical name GelfondSchneiderConstant
Date of creation 2013-03-22 18:54:36
Last modified on 2013-03-22 18:54:36
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 4
Author PrimeFan (13766)
Entry type Definition
Classification msc 11J81