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The Euler-Mascheroni constant (often incorrectly called Euler's constant) is a

mathematical constant that constantly pops up in analysis and number theory.

It's defined as the limiting difference between the harmonic series and the natural

logarithm, and is usually denoted by the lowercase Greek letter gamma (γ).

Rounded to the nearest 10-8, the number is γ = 0.5772156 6 .

γ should not be confused with the base of the natural logarithm, e, which is

sometimes called Euler's number or Euler's constant.

That number, rounded to the nearest 10-8, is e = 2.71828 183 .

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