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223 ⁄ 71 < π < 22 ⁄ 7: 3.140845... < π < 3.142857... 2: 15 BC: Vitruvius [7] 25 ⁄ 8: 3.125: 1 Between 1 BC and AD 5: Liu Xin [7] [11] [12] Unknown method giving a figure for a jialiang which implies a value for π ≈ 162 ⁄ (√ 50 +0.095) 2. 3.1547... 1 AD 130: Zhang Heng (Book of the Later Han) [2] √ 10 = 3.162277... 736 ⁄ 232: ...
The early string of six 9s is also the first occurrence of four and five consecutive identical digits. The next sequence of six consecutive identical digits is again composed of 9s, starting at position 193,034. [5] The next distinct sequence of six consecutive identical digits after that starts with the digit 8 at position 222,299. [7]
In 2004, Andrew Huang wrote a song that was a mnemonic for the first fifty digits of pi, titled "I am the first 50 digits of pi". [14] [15] The first line is: Man, I can’t - I shan’t! - formulate an anthem where the words comprise mnemonics, dreaded mnemonics for pi. In 2013, Huang extended the song to include the first 100 digits of pi ...
Pi Day is celebrated each year on March 14 because the date's numbers, 3-1-4 match the first three digits of pi, the never-ending mathematical number. "I love that it is so nerdy.
In August 2009, a Japanese supercomputer called the T2K Open Supercomputer more than doubled the previous record by calculating π to roughly 2.6 trillion digits in approximately 73 hours and 36 minutes. In December 2009, Fabrice Bellard used a home computer to compute 2.7 trillion decimal digits of π. Calculations were performed in base 2 ...
The Gauss–Legendre algorithm is an algorithm to compute the digits of π. It is notable for being rapidly convergent, with only 25 iterations producing 45 million correct digits of π . However, it has some drawbacks (for example, it is computer memory -intensive) and therefore all record-breaking calculations for many years have used other ...
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 ...
For example, German mathematician Ludolph van Ceulen of the 16th century spent a major part of his life calculating the first 35 digits of pi. [22] Using computers and supercomputers , some of the mathematical constants, including π, e , and the square root of 2, have been computed to more than one hundred billion digits.