Euler's constant

Euler's constant
γ
0.57721...[1]
General information
TypeUnknown
Fields
History
Discovered1734
ByLeonhard Euler
First mentionDe Progressionibus harmonicis observationes
Named after
The area of the blue region converges to Euler's constant.

Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually denoted by the lowercase Greek letter gamma (γ), defined as the limiting difference between the harmonic series and the natural logarithm, denoted here by log:

Here, ⌊·⌋ represents the floor function.

The numerical value of Euler's constant, to 50 decimal places, is:[1]

0.57721566490153286060651209008240243104215933593992...
  1. ^ a b Cite error: The named reference A001620 was invoked but never defined (see the help page).