Category
page 1Real transcendental numbers

Pi
Euler's number
mathematical constant; limit of (1 + 1/n)^n as n approaches infinity; transcendental number approximately equal 2.718281828
Liouville number
transcendental number possessing an excellent sequence of rational number approximations
golden angle
division of 360° angle into two sub-angles, such that one is 1.618034 times bigger than the other (i.e. the golden ratio or ɸ)
Champernowne constant
decimal number formed by concatenating successive representations of integers
omega constant
constant such that omega*e^(omega) = 1
Gelfond's constant
e to the power of π
Gauss's constant
transcendental number; the reciprocal of the arithmetic–geometric mean of 1 and √2
Heegner number
square-free positive integer such that the corresponding imaginary quadratic field has unique factorization; one of 1, 2, 3, 7, 11, 19, 43, 67, or 163
Gelfond–Schneider constant
two to the square root of two power
Chaitin's constant
number that represents the probability that a randomly constructed program will halt
approximations of π
history of calculating π to degrees of precision
Cahen's constant
number, approximately 0.6434, the value of an alternating series derived from Sylvester's sequence
natural logarithm of 2
transcendental number
Dottie number
mathematical constant related to the cosine function
universal parabolic constant
the ratio, for any parabola, of the arc length of the parabolic segment formed by the latus rectum to the focal parameter; ln(1+√2)+√2
Prouhet–Thue–Morse constant
decimal number whose binary representation is given by its namesake sequence