David GraylessAug 17, 2025
The number e is a #mathematicalConstant approximately equal to 2.71828 that is the #base of the #naturalLogarithm and #exponentialFunction. It is sometimes called Euler's number, after the Swiss mathematician #LeonhardEuler, though this can invite confusion with #EulerNumbers, or with #EulersConstant, a different constant typically denoted γ {\displaystyle \gamma } . Alternatively, e can be called Napier's constant after #JohnNapier.
Pustam | पुस्तम | পুস্তম🇳🇵Feb 6, 2025

Euler–Mascheroni constant!  

In fact, the last one is:
\[\large\displaystyle\int_1^{+\infty}\mathrm dx\ \left(\frac{1}{\lfloor x\rfloor}-\frac1x\right)=\gamma\approx0.5772156649\]

Equivalently,
\[\large\displaystyle\lim_{n\to\infty}\left(\sum_{k=1}^n \frac1{k}-\ln n\right)=\gamma=0.5772156649\ldots\]
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Unsolved problem in mathematics:
Is Euler–Mascheroni constant irrational? If so, is it transcendental?

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