Gelfond’s constant

Gelfond’s constant eπ was one of the first numbers to be proven to be transcendental by appying Gelfond’s theorem. However, naming the constant after Gelfond comes from Eric Weisstein, with many people preferring to refer to it simply as e to the power of π.

Its value in base 10 is approximately 23.1406926327792690057290863679485473802661062426. Its continued fractionMathworldPlanetmath representation is neither terminating nor periodic, and begins

Title Gelfond’s constant
Canonical name GelfondsConstant
Date of creation 2013-03-22 18:54:34
Last modified on 2013-03-22 18:54:34
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 4
Author PrimeFan (13766)
Entry type Definition
Classification msc 11J81