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  2. Pi - Wikipedia

    en.wikipedia.org/wiki/Pi

    The number π (/ p aɪ /; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.The number π appears in many formulae across mathematics and physics.

  3. Approximations of π - Wikipedia

    en.wikipedia.org/wiki/Approximations_of_π

    Of these, is the only fraction in this sequence that gives more exact digits of π (i.e. 7) than the number of digits needed to approximate it (i.e. 6). The accuracy can be improved by using other fractions with larger numerators and denominators, but, for most such fractions, more digits are required in the approximation than correct ...

  4. Piphilology - Wikipedia

    en.wikipedia.org/wiki/Piphilology

    Recent decades have seen a surge in the record number of digits memorized. [4]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]

  5. Six nines in pi - Wikipedia

    en.wikipedia.org/wiki/Six_nines_in_pi

    A sequence of six consecutive nines occurs in the decimal representation of the number pi (π), starting at the 762nd decimal place. [1] [2] It has become famous because of the mathematical coincidence, and because of the idea that one could memorize the digits of π up to that point, and then suggest that π is rational.

  6. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]

  7. Chronology of computation of π - Wikipedia

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

    Computation: Intel Core i7 @ 2.93 GHz (4 cores, 6 GiB DDR3-1066 RAM) Storage: 7.5 TB (5x 1.5 TB) Red Hat Fedora 10 (x64) Computation of the binary digits (Chudnovsky algorithm): 103 days; Verification of the binary digits (Bellard's formula): 13 days; Conversion to base 10: 12 days; Verification of the conversion: 3 days

  8. 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 the numbers 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 ...

  9. List of formulae involving π - Wikipedia

    en.wikipedia.org/wiki/List_of_formulae_involving_π

    is the number of collisions made (in ideal conditions, perfectly elastic with no friction) by an object of mass m initially at rest between a fixed wall and another object of mass b 2N m, when struck by the other object. [1] (This gives the digits of π in base b up to N digits past the radix point.)