Gelfond's constant

Gelfond's constant, denoted as \( G \), is a transcendental number defined as: \[ G = 2^{\sqrt{2}} \] It is named after the Russian mathematician Aleksandr Gelfond, who, along with Theodor Schneider, proved that \( G \) is transcendental in 1934. A transcendental number is a number that is not a root of any non-zero polynomial equation with rational coefficients.