Approximate Relations between Pi and Euler's Number/e to the pi root 163/Historical Note
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Historical Note on Approximate Relations between $\pi$ and $e$: $e^{\pi \sqrt {163} }$
The fact that $e^{\pi \sqrt {163} }$ comes so close to an integer was noticed by Alexander Craig Aitken, who considered the property "amusing".
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $163$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $163$