A transcendental number is a real or complex number that is not algebraic. that is, it is not a root of a non-zero polynomial equation with integer (or, equivalently, rational) coefficients.

List of Transcendental Number

1)   √2^√2 – Siegel saw how to extend Gelfonds result to the case where b is a real quadratic irrational.
2)   √2^3√2 – Gelfond and Schneider independently solved the full version Hilberts seventh problem.
3)    e – the first non-contrived example of a transcendental number.
4)