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With a correct value for its seven first decimal digits, this value remained the most accurate approximation of π available for the next 800 years. [58] The Indian astronomer Aryabhata used a value of 3.1416 in his Āryabhaṭīya (499 AD). [59] Fibonacci in c. 1220 computed 3.1418 using a polygonal method, independent of Archimedes. [60]
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.
Value; Less than 22/7; ... Many of these formulae can be found in the article Pi, ... This gives the digits of π in base b up to N digits past the radix point.)
The purpose of the proof is not primarily to convince its readers that 22 / 7 (or 3 + 1 / 7 ) is indeed bigger than π; systematic methods of computing the value of π exist. If one knows that π is approximately 3.14159, then it trivially follows that π < 22 / 7 , which is approximately 3.142857.
In March 2019, Emma Haruka Iwao, an employee at Google, computed 31.4 (approximately 10 π) trillion digits of pi using y-cruncher and Google Cloud machines. This took 121 days to complete. [49] In January 2020, Timothy Mullican announced the computation of 50 trillion digits over 303 days. [50] [51]
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.
Pi 3.14159 26535 89793 ... Decimal representations are rounded or padded to 10 places if the values are known. Name Symbol ... has 2504 digits. One: 1 1.00000 00000 ...
The 2002 record for digits of π, 1,241,100,000,000, was obtained by Yasumasa Kanada of Tokyo University. The calculation was performed on a 64-node Hitachi supercomputer with 1 terabyte of main memory, performing 2 trillion operations per second.
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