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is the number of collisions made (in ideal conditions, perfectly elastic with no friction) by an object of mass m initially at rest between a fixed wall and another object of mass b 2N m, when struck by the other object. [1] (This gives the digits of π in base b up to N digits past the radix point.)
It produces about 14 digits of π per term [134] 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, [135] and 100 trillion digits by Emma Haruka Iwao in 2022. [136]
The Chudnovsky brothers have held records, at different times, for computing π to the largest number of places, including two billion digits in the early 1990s on a supercomputer they built (dubbed "m-zero") in their apartment in Manhattan.
According to its author, it can compute one million digits in 3.5 seconds on a 2.4 GHz Pentium 4. [98] PiFast can also compute other irrational numbers like e and √ 2. It can also work at lesser efficiency with very little memory (down to a few tens of megabytes to compute well over a billion (10 9) digits).
Computation of binary digits: 80 days; Conversion to base 10: 8.2 days; Verification of the conversion: 45.6 hours; Verification of the binary digits: 64 hours (Bellard formula), 66 hours (BBP formula) Verification of the binary digits were done simultaneously on two separate computers during the main computation.
Last week, the Moscow Times reported that Putin signed a law creating a legal tax framework for crypto miners and transactions. The outlet said Russia expects to earn $2 billion worth of rubles a ...
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 ...
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