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Since the middle of the 20th century, the approximation of π has been the task of electronic digital computers (for a comprehensive account, see Chronology of computation of π). On June 28, 2024, the current record was established by the StorageReview Lab team with Alexander Yee's y-cruncher with 202 trillion (2.02× 10 14 ) digits.
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
A pi pie. Many pies are circular, and "pie" and π are homophones, making pie a frequent subject of pi puns. Perhaps because of the simplicity of its definition and its ubiquitous presence in formulae, π has been represented in popular culture more than other mathematical constructs. [214]
Although rough estimates for pi were given in the Zhou Li (compiled in the 2nd century BC), [29] it was Zhang Heng who was the first to make a concerted effort at creating a more accurate formula for pi. Zhang Heng approximated pi as 730/232 (or approx 3.1466), although he used another formula of pi in finding a spherical volume, using the ...
Until the 20th century, the number of digits of pi which mathematicians had the stamina to calculate by hand remained in the hundreds, so that memorization of all known digits at the time was possible. [5] In 1949 a computer was used to calculate π to 2,000 places, presenting one of the earliest opportunities for a more difficult challenge.
A History of Pi was originally published as A History of π in 1970 by Golem Press. This edition did not cover any approximations of π calculated after 1946. A second edition, printed in 1971, added material on the calculation of π by electronic computers, but still contained historical and mathematical errors, such as an incorrect proof that there exist infinitely many prime numbers. [4]
260 BC – Greece, Archimedes proved that the value of π lies between 3 + 1/7 (approx. 3.1429) and 3 + 10/71 (approx. 3.1408), that the area of a circle was equal to π multiplied by the square of the radius of the circle and that the area enclosed by a parabola and a straight line is 4/3 multiplied by the area of a triangle with equal base ...
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.