Mathematical coincidences concerning the numbers $\pi$, $e$ and $163$

$$\frac{163}{e}+\frac{e}{163}+\frac{\pi }{163}\approx 60$$

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EDIT

$163 (\pi -e)\approx 69$


The number $e^{\pi\sqrt{163}}$ is very close to the integer $262537412640768744$ the difference is about $7.5\times 10^{-13}$

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Pi

Recreational Mathematics

Exponential Function

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