dasselbstgesprach asked: What is the difference between Euler‘s number and Euler‘s constant?

Euler’s constant is a mathematical constant defined by the (limiting) difference between the harmonic series and natural log.

(denoted as gamma).

This is about 0.57721 56649 01532 86060 65120 90082 40243 10421 59335 93992 …

Euler’s number, or e, is also a mathematical constant, but where the slope of the tangent line (or value of the derivative) of the function f(x) = e^x at the point x = 0 is exactly 1. The number e is also defined as the base of a natural logarithm.

e is approximately 2.71828 18284 59045 23536….

Euler’s number, e, is a transcendental number.

Euler’s constant has not been proven to be.