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Later computers calculated pi to extraordinary numbers of digits (2.7 trillion as of August 2010), [4] and people began memorizing more and more of the output. The world record for the number of digits memorized has exploded since the mid-1990s, and it stood at 100,000 as of October 2006. [ 6 ]
The word "cadae" is the alphabetical equivalent of the first five digits of π, 3.1415. [5] The form of a cadae is based on pi on two levels. There are five stanzas, with 3, 1, 4, 1, and 5 lines each, respectively for a total of fourteen lines in the poem. Each line of the poem also contains an appropriate number of syllables.
It produces about 14 digits of π per term [133] 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, [134] and 100 trillion digits by Emma Haruka Iwao in 2022. [135]
The last 100 decimal digits of the latest world record computation are: [1] 7034341087 5351110672 0525610978 1945263024 9604509887 5683914937 4658179610 2004394122 9823988073 3622511852 Graph showing how the record precision of numerical approximations to pi measured in decimal places (depicted on a logarithmic scale), evolved in human history.
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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 ...
English: This image shows a colored distribution of repeating digits of pi. Double digits are highlighted yellow, triple digits are highlighted green, and the Feynman point is highlighted red. The Python script to produce the file is in the file itself — just remove the first line and rename it Pi_digits_distribution.py .
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.