## Happy Pi day

For discussing Olympiad Level Number Theory problems
Posts: 1016
Joined: Tue Nov 22, 2011 7:49 pm
Location: 127.0.0.1
Contact:

### Happy Pi day

Happy Pi day to everyone.Wish a loong and meaningful life to everyone.I'll ask everyone to post any wonderful fact about pi here.I'm starting by giving a self-made series of computing value of $\pi$.
$\pi = \frac{102857 - 4480 \sqrt{108}}{17920} - 3 \sum_{n = 2}^{\infty} \left( \frac{\prod_{k = n}^{2 n - 1} \left( 2 k + 1 \right)}{2^{7 n - 1} n!} \left( \frac{1}{4 n + 1} + \frac{4 n + 1}{4 \left( 4 n + 2 \right) \left( 4 n + 3 \right)} \right) \right)$
Welcome to BdMO Online Forum. Check out Forum Guides & Rules

Moon
Posts: 751
Joined: Tue Nov 02, 2010 7:52 pm
Contact:

### Re: Happy Pi day

Haha nice! Same to you.

A wonderful fact about pi is that you can make infinitely many series like this!
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin

Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.

Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### Re: Happy Pi day

Happy birthday to Einstein as well.
One one thing is neutral in the universe, that is $0$.

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: Happy Pi day

Happy $\pi$ day.
Also,This is the first day of Einstein
And The last day of Hawking.
We can get the number $1971$ very early @ $\pi$.