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Name |
Euler's Constant
Euler-Mascheroni constant |
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Symbol |
γ, C |
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Value |
0.577 215 664 901 532 86061 |
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Category |
General Mathematical Constants |
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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 10244663. |
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References |
http://paulliac.inria.fr/algo/bsolve/constant/constant.html and references therein |