That's boring. Here's something pretty for e and π:pic.twitter.com/ExC8MXN7WA
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Writing "π^4 + π^5 ≈ e^6" looks prettier to me. But this is surely just numerology?
That's not a curious fact, just some integer powers intentionally picked in order to show a connection that doesn't exist.
True. Very true.
Er.... here's another...
One thing multiplied in a convoluted way nearly equals another thing 
@vogonjeltz101 a new pointless one to learn like e^pi - pi = 20
There's so many degrees of freedom in that first expression though. The choice of taking powers, the choice of the powers themselves, and that dividing it by e gets close to 1. It's possible to generate lots of numerical coincidences such as this.
That the number of decimals of agreement is close to the number of degrees of freedom in the general version of the expression is telling.
Idly reminds me of https://xkcd.com/217/ too :p
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