Happy Pi day

For discussing Olympiad Level Number Theory problems
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Phlembac Adib Hasan
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Happy Pi day

Unread post by Phlembac Adib Hasan » Wed Mar 14, 2012 6:12 pm

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 $\pi$.
\[ \pi = \frac{102857 - 4480 \sqrt{108}}{17920} - 3 \sum_{n = 2}^{\infty}
\left( \frac{\prod_{k = n}^{2 n - 1} \left( 2 k + 1 \right)}{2^{7 n - 1}
n!} \left( \frac{1}{4 n + 1} + \frac{4 n + 1}{4 \left( 4 n + 2 \right)
\left( 4 n + 3 \right)} \right) \right) \]
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Moon
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Re: Happy Pi day

Unread post by Moon » Wed Mar 14, 2012 7:42 pm

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

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Masum
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Re: Happy Pi day

Unread post by Masum » Wed Mar 14, 2012 10:08 pm

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

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samiul_samin
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Re: Happy Pi day

Unread post by samiul_samin » Thu Mar 14, 2019 8:48 am

Happy $\pi$ day.
Also,This is the first day of Einstein
And The last day of Hawking.
What a connection!What does it mean?
We can get the number $1971$ very early @ $\pi$.

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