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Chudnovsky algorithm. The Chudnovsky algorithm is a fast method for calculating the digits of π, based on Ramanujan 's π formulae. Published by the Chudnovsky brothers in 1988, [ 1] it was used to calculate π to a billion decimal places. [ 2]
As of July 2024, π has been calculated to 202 trillion decimal digits. The last 100 decimal digits of the latest world record computation are: [1] Graph showing how the record precision of numerical approximations to pi measured in decimal places (depicted on a logarithmic scale), evolved in human history.
It produces about 14 digits of π per term [130] and has been used for several record-setting π calculations, including the first to surpass 1 billion (10 9) digits in 1989 by the Chudnovsky brothers, 10 trillion (10 13) digits in 2011 by Alexander Yee and Shigeru Kondo, [131] and 100 trillion digits by Emma Haruka Iwao in 2022. [132]
Bailey–Borwein–Plouffe formula. The Bailey–Borwein–Plouffe formula ( BBP formula) is a formula for π. It was discovered in 1995 by Simon Plouffe and is named after the authors of the article in which it was published, David H. Bailey, Peter Borwein, and Plouffe. [ 1] Before that, it had been published by Plouffe on his own site. [ 2]
Super PI by Kanada Laboratory [98] in the University of Tokyo is the program for Microsoft Windows for runs from 16,000 to 33,550,000 digits. It can compute one million digits in 40 minutes, two million digits in 90 minutes and four million digits in 220 minutes on a Pentium 90 MHz. Super PI version 1.9 is available from Super PI 1.9 page.
Haraguchi holds the current unofficial world record for reciting 100,000 digits of pi in 16 hours, starting at 9:00 a.m. (16:28 GMT) on October 3, 2006. He equaled his previous record of 83,500 digits by nightfall and then continued until stopping with digit number 100,000 at 1:28 a.m. on October 4, 2006. The event was filmed in a public hall ...
This means all digits except the middle digit are equal. 101, ... pi(x) through x=3*10^13 ... Interface to a list of the first 98 million primes (primes less than ...
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...