Fun Math Facts

Euler’s Identity\(\ e^{i\pi} + 1 = 0\) is the most well-known relationship between \(e\) and \(\pi\). The following are a few less-known facts or coincidences between them: $$e^{\pi}\ -\ \pi\ -\ 20 \approx 0$$ $$\pi^4\ +\ \pi^5\ -\ e^6 \approx 0$$ $$e^{\pi\sqrt{163}}\ -\ 262537412640768744 \approx 0 $$