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The dance between 𝑒 and π continues.. 
The infinite product for 𝑒 becomes the famous Wallis product for π if you replace all the powers with 1pic.twitter.com/CvOWz2KRtz
Out of curiosity I divided the two equalities, and the Mersenne Number's popped out in the exponent.
A Mersenne Number is of the form 2ⁿ - 1
A Mersenne Number is prime only if 𝑛 is prime
The largest known Mersenne prime is 2⁸²⁵⁸⁹⁹³³-1pic.twitter.com/Hms50narC4
For those interested, there’s a nice review paper (with other very neat identities) here : https://arxiv.org/pdf/1005.2712.pdf …
This infinite product for e/2 wasn’t discovered until 1980 by Nicholas Pippenger.
The proof only makes use of Stirling’s formula!
If noone is there to count these numbers do they exist?
Only yesterday, I saw a @YouTube video by @preshtalwalkar !!!
Do you have a link?
Do you guys think that irrational numbers are, in a sense, more "imaginative" than complex numbers?
I think all numbers are equally “imaginative”
I'm going to start calling these, variations on a quantum theme.
Beautiful
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