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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. Gauss–Legendre algorithm - Wikipedia

    en.wikipedia.org/wiki/Gauss–Legendre_algorithm

    It repeatedly replaces two numbers by their arithmetic and geometric mean, in order to approximate their arithmetic-geometric mean. The version presented below is also known as the Gauss–Euler , Brent–Salamin (or Salamin–Brent ) algorithm ; [ 1 ] it was independently discovered in 1975 by Richard Brent and Eugene Salamin .

  5. Spigot algorithm - Wikipedia

    en.wikipedia.org/wiki/Spigot_algorithm

    A variant of the spigot approach uses an algorithm which can be used to compute a single arbitrary digit of the transcendental without computing the preceding digits: an example is the Bailey–Borwein–Plouffe formula, a digit extraction algorithm for π which produces base 16 digits. The inevitable truncation of the underlying infinite ...

  6. Chronology of computation of π - Wikipedia

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

    Finds a formula that allows the nth hexadecimal digit of pi to be calculated without calculating the preceding digits. 28 August 1995 Yasumasa Kanada and Daisuke Takahashi: HITAC S-3800/480 (dual CPU) [36] [37] 56.74 hours? 4,294,960,000: 11 October 1995 Yasumasa Kanada and Daisuke Takahashi: HITAC S-3800/480 (dual CPU) [38] [37] 116.63 hours ...

  7. Transcendental number - Wikipedia

    en.wikipedia.org/wiki/Transcendental_number

    In other words, the n th digit of this number is 1 only if n is one of 1! = 1, 2! = 2, 3! = 6, 4! = 24, etc. Liouville showed that this number belongs to a class of transcendental numbers that can be more closely approximated by rational numbers than can any irrational algebraic number, and this class of numbers is called the Liouville numbers ...

  8. List of Unicode characters - Wikipedia

    en.wikipedia.org/wiki/List_of_Unicode_characters

    The format is the same as for any entity reference: &name; where name is the case-sensitive name of the entity. The semicolon is required. Because numbers are harder for humans to remember than names, character entity references are most often written by humans, while numeric character references are most often produced by computer programs. [1]

  9. Approximations of π - Wikipedia

    en.wikipedia.org/wiki/Approximations_of_π

    TachusPi by Fabrice Bellard [99] is the program used by himself to compute world record number of digits of pi in 2009. y -cruncher by Alexander Yee [ 47 ] is the program which every world record holder since Shigeru Kondo in 2010 has used to compute world record numbers of digits .