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Proofs of the mathematical result that the rational number 22 / 7 is greater than π (pi) date back to antiquity. One of these proofs, more recently developed but requiring only elementary techniques from calculus, has attracted attention in modern mathematics due to its mathematical elegance and its connections to the theory of Diophantine approximations.
Super PI by Kanada Laboratory [102] in the University of Tokyo is the program for Microsoft Windows for runs from 16,000 to 33,550,000 digits. It can compute one million digits in 40 minutes, two million digits in 90 minutes and four million digits in 220 minutes on a Pentium 90 MHz. Super PI version 1.9 is available from Super PI 1.9 page.
The first few convergents (3, 22/7, 333/106, 355/113, ...) are among the best-known and most widely used historical approximations of π. Sequences of constants [ edit ]
The article is really about the number; the proof that it exceeds pi is interesting & notable because 22/7 is an important approximation of pi. It was suggested on the AfD debate that the article be renamed, and this seems like the best suggestion to me. Mangojuice 15:48, 20 March 2006 (UTC) Absolutely should be moved!
Using Liu Hui's algorithm (which is based on the areas of regular polygons approximating a circle), Zu famously computed π to be between 3.1415926 and 3.1415927 [a] and gave two rational approximations of π, 22 / 7 and 355 / 113 , naming them respectively Yuelü (Chinese: 约率; pinyin: yuēlǜ; "approximate ratio") and Milü. [1]
2024 Pi Day pizza deals, 'free pizza' for Pi Day Blaze Pizza : Buy one 11" Pizza, get one for $3.14. Digiorno : According to an email to The Courier Journal, Digiorno is introducing its Pizza ...
There is a sequence of six nines in pi beginning at the 762nd decimal place of its decimal representation. For a randomly chosen normal number, the probability of a particular sequence of six consecutive digits—of any type, not just a repeating one—to appear this early is 0.08%. [7] Pi is conjectured, but not known, to be a normal number.
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.