Happy Pi Day!

[Valentin Albillo]

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Hi, Gerson:

(03-15-2017 03:57 PM)Gerson W. Barbosa Wrote:  

(03-15-2017 11:04 AM)franz.b Wrote:  355/113 is enough for me B-)

That's perhaps the most efficient rational approximation for \(\pi\): six digits in a mnemonic sequence giving six correct decimal places.

More like seven correct decimal places, not six: 3,1415929.. vs. 3,1415926...

In my so-so humble opinion, the very best \(\pi\) approximation (i.e.: the more correct digits using the less digits and operations) is by far:

          Ln(640320^3)/Sqrt(163) = 3,141592653589793016...

which gives 16 correct digits.

Regards.
V.
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