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Happy Pi Day!
03-18-2017, 03:43 AM
Post: #20
RE: Happy Pi Day!
(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 seven correct digits.

Here's an even better one:

\(\frac{190187072856692307609014394471477033962159076831354633719252611556270433​96809635643200078081079293702997523451876888357413870030368533612856711580598677​02399073227994426905220194699766118756059055619036488502928002591}{6053842551464​20326102361023215940531716391478150345020739231253172134740688232476946000058713​77454979656144746826774641287402271754410094658714414873962680343513347328160666​3121381125761746030151344353855924025288111}\)

That's 433 digits (217 digits over 216 digits) that returns 435 digits of pi. Converting the above into a mnemonic is left as an exercise for the student. Smile

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Messages In This Thread
Happy Pi Day! - Gerson W. Barbosa - 03-14-2017, 01:14 AM
RE: Happy Pi Day! - Ángel Martin - 03-14-2017, 06:17 AM
RE: Happy Pi Day! - Csaba Tizedes - 03-14-2017, 08:22 AM
RE: Happy Pi Day! - Dave Britten - 03-14-2017, 12:47 PM
RE: Happy Pi Day! - Eddie W. Shore - 03-14-2017, 01:06 PM
RE: Happy Pi Day! - jebem - 03-14-2017, 01:22 PM
RE: Happy Pi Day! - Eddie W. Shore - 03-14-2017, 01:24 PM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-14-2017, 03:50 PM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-14-2017, 05:07 PM
RE: Happy Pi Day! - Joe Horn - 03-15-2017, 11:33 PM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-16-2017, 12:06 AM
RE: Happy Pi Day! - d b - 03-15-2017, 02:53 AM
RE: Happy Pi Day! - franz.b - 03-15-2017, 11:04 AM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-15-2017, 03:57 PM
RE: Happy Pi Day! - Valentin Albillo - 03-15-2017, 08:56 PM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-15-2017, 10:50 PM
RE: Happy Pi Day! - EdS2 - 03-17-2017, 10:00 PM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-18-2017, 02:17 AM
RE: Happy Pi Day! - Joe Horn - 03-18-2017 03:43 AM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-18-2017, 09:17 PM
RE: Happy Pi Day! - ttw - 03-16-2017, 01:22 AM
RE: Happy Pi Day! - pier4r - 03-28-2017, 10:30 AM
RE: Happy Pi Day! - Joe Horn - 03-28-2017, 11:59 AM
RE: Happy Pi Day! - pier4r - 03-28-2017, 09:23 PM



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