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  2. Bailey–Borwein–Plouffe formula - Wikipedia

    en.wikipedia.org/wiki/Bailey–Borwein–Plouffe...

    This does not compute the nth decimal digit of π (i.e., in base 10). [3] But another formula discovered by Plouffe in 2022 allows extracting the nth digit of π in decimal. [4] BBP and BBP-inspired algorithms have been used in projects such as PiHex [5] for calculating many digits of π using distributed computing. The existence of this ...

  3. Chudnovsky algorithm - Wikipedia

    en.wikipedia.org/wiki/Chudnovsky_algorithm

    The Chudnovsky algorithm is a fast method for calculating the digits of π, based on Ramanujan's π formulae.Published by the Chudnovsky brothers in 1988, [1] it was used to calculate π to a billion decimal places.

  4. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    For example, the constant π may be defined as the ratio of the length of a circle's circumference to its diameter. The following list includes a decimal expansion and set containing each number, ordered by year of discovery. The column headings may be clicked to sort the table alphabetically, by decimal value, or by set.

  5. Gauss–Legendre algorithm - Wikipedia

    en.wikipedia.org/wiki/Gauss–Legendre_algorithm

    The arithmetic–geometric mean of two numbers, a 0 and b 0, is found by calculating the limit of the sequences + = +, + =, which both converge to the same limit. If = and = ⁡ then the limit is (⁡) where () is the complete elliptic integral of the first kind

  6. PiHex - Wikipedia

    en.wikipedia.org/wiki/PiHex

    PiHex was a distributed computing project organized by Colin Percival to calculate specific bits of π. [1] 1,246 contributors [2] used idle time slices on almost two thousand computers [citation needed] to make its calculations.

  7. Chronology of computation of π - Wikipedia

    en.wikipedia.org/wiki/Chronology_of_computation...

    Pi, (equal to 3.14159265358979323846264338327950288) is a mathematical sequence of numbers. The table below is a brief chronology of computed numerical values of, or ...

  8. Leibniz formula for π - Wikipedia

    en.wikipedia.org/wiki/Leibniz_formula_for_π

    In mathematics, the Leibniz formula for π, named after Gottfried Wilhelm Leibniz, states that = + + = = +,. an alternating series.. It is sometimes called the Madhava–Leibniz series as it was first discovered by the Indian mathematician Madhava of Sangamagrama or his followers in the 14th–15th century (see Madhava series), [1] and was later independently rediscovered by James Gregory in ...

  9. Pi - Wikipedia

    en.wikipedia.org/wiki/Pi

    The number π (/ p aɪ / ⓘ; spelled out as "pi") is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter.It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve.