Science
Constants
Name
Euler's Constant
Euler-Mascheroni constant
Symbol
γ, C
Value
0.57721566490153286061
Category
General Mathematical Constants
Comments
Euler's constant is defined as
lim
n
→
∞
 
 
Σ
 
 
 
 
 
k
 
 
=
 
 
1
 
 
n
1
k
-
ln
⁢
 
n
. So far Euler's constant has been calculated to more than a million decimal places, although it is still not known if it is transcendental or even irrational. It has been proven that if it is rational then its denominator is not smaller than 10
244663
.
References
http://paulliac.inria.fr/algo/bsolve/constant/constant.html
and references therein
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