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It produces about 14 digits of π per term [131] 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, [132] and 100 trillion digits by Emma Haruka Iwao in 2022. [133]
It was used in the world record calculations of 2.7 trillion digits of π in December 2009, [3] 10 trillion digits in October 2011, [4] [5] 22.4 trillion digits in November 2016, [6] 31.4 trillion digits in September 2018–January 2019, [7] 50 trillion digits on January 29, 2020, [8] 62.8 trillion digits on August 14, 2021, [9] 100 trillion ...
The table below is a brief chronology of computed numerical values of, or bounds on, the mathematical constant pi (π). For more detailed explanations for some of these calculations, see Approximations of π. As of July 2024, π has been calculated to 202 trillion decimal digits. The last 100 decimal digits of the latest world record ...
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]
Machin-like formula. In mathematics, Machin-like formulas are a popular technique for computing π (the ratio of the circumference to the diameter of a circle) to a large number of digits. They are generalizations of John Machin 's formula from 1706: which he used to compute π to 100 decimal places. [1][2] Machin-like formulas have the form.
where C is the circumference of a circle, d is the diameter, and r is the radius.More generally, = where L and w are, respectively, the perimeter and the width of any curve of constant width.
Emma Haruka Iwao (born April 21, 1984) is a Japanese computer scientist and cloud developer advocate at Google. [5][6] In 2019 Haruka Iwao calculated the then world record for most accurate value of pi (π); which included 31.4 trillion digits, exceeding the previous record of 22 trillion. [7][8][9][10][11] This record was surpassed in 2020 by ...
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.