A sequence of six consecutive nines occurs in the decimal representation of the number pi (π), starting at the 762nd decimal place. It has become famous...

identity Six nines in pi Gauss–Legendre algorithm Gaussian function History of π A History of Pi (book) Indiana Pi Bill Leibniz formula for pi Lindemann–Weierstrass...

as square root of 2 are irrational.) Almost integer Normal number Six nines in pi Darling, David (2004), The Universal Book of Mathematics: From Abracadabra...

Pi is 3 is a misunderstanding that the Japanese public believed that, due to the revision of the Japanese Curriculum guideline in 2002, the approximate...

A History of Pi (also titled A History of π) is a 1970 non-fiction book by Petr Beckmann that presents a layman's introduction to the concept of the mathematical...

contradiction. In 1882, Ferdinand von Lindemann proved that π {\displaystyle \pi } is not just irrational, but transcendental as well. In 1761, Johann Heinrich...

Smith number, admirable number, number of 1's in all partitions of 25 into odd parts, see also Six nines in pi 763 = 7 × 109, sum of nine consecutive primes...

The Indiana pi bill was bill 246 of the 1897 sitting of the Indiana General Assembly, one of the most notorious attempts to establish mathematical truth...

Pi Day is an annual celebration of the mathematical constant π (pi). Pi Day is observed on March 14 (the 3rd month) since 3, 1, and 4 are the first three...

significance, describing them as "angel numbers". Six nines in pi Beiler, Albert (1966). Recreations in the Theory of Numbers: The Queen of Mathematics...

to be found in the Great Pyramid of Giza, but it is highly improbable that this was intentional. There is a sequence of six nines in pi, popularly known...

comics were ambiguous images, made in such a way that one could read the six-panel comic, flip the book and keep reading. In The Wonderful Cure of the Waterfall...

The number π (/paɪ/; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal...

5 − 1 7 + 1 9 − ⋯ = ∑ k = 0 ∞ ( − 1 ) k 2 k + 1 , {\displaystyle {\frac {\pi }{4}}=1-{\frac {1}{3}}+{\frac {1}{5}}-{\frac {1}{7}}+{\frac {1}{9}}-\cdots...

constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era. In Chinese mathematics...

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...

of these formulae can be found in the article Pi, or the article Approximations of π. π = C d = C 2 r {\displaystyle \pi ={\frac {C}{d}}={\frac {C}{2r}}}...

whispered quietly, "I ignore". — Mike Keith, First verse of Near a Raven Six nines in pi (handled at the start of chapter 2, "Change") Near A Raven, cadaeic...

of computed numerical values of, or bounds on, the mathematical constant pi (π). For more detailed explanations for some of these calculations, see Approximations...

{\pi }{4}}{\frac {2\pi te^{2\pi t}-e^{2\pi t}+1}{\pi t^{2}e^{2\pi t}+te^{2\pi t}-t}}\\[6pt]&=\lim _{t\to 0}{\frac {\pi ^{3}te^{2\pi t}}{2\pi \left(\pi t^{2}e^{2\pi...

{\displaystyle n{\frac {3\sin {\frac {\pi }{n}}}{2+\cos {\frac {\pi }{n}}}}<\pi <n\left(2\sin {\frac {\pi }{3n}}+\tan {\frac {\pi }{3n}}\right).} This for n = 48...

to the diameter of the earth, 92/29) or as π ≈ 10 ≈ 3.162 {\displaystyle \pi \approx {\sqrt {10}}\approx 3.162} . Liu Hui was not satisfied with this value...

determinant (the first in 1683, the complete version no later than 1710) are attributed to him. Seki also calculated the value of pi correct to the 10th...

many digits of the mathematical constant π. The word is a play on the word "pi" itself and of the linguistic field of philology. There are many ways to memorize...

In transcendental number theory, the Lindemann–Weierstrass theorem is a result that is very useful in establishing the transcendence of numbers. It states...

In 1882, the task was proven to be impossible, as a consequence of the Lindemann–Weierstrass theorem, which proves that pi ( π {\displaystyle \pi }...

Qi dynasties. He was most notable for calculating pi as between 3.1415926 and 3.1415927, a record in precision which would not be surpassed for nearly...

Kanada held the world record calculating the number of digits in the decimal expansion of pi – exactly 1.2411 trillion digits. The calculation took more...

letter Pi) to represent the ratio of the circumference of a circle to its diameter. He was a close friend of Sir Isaac Newton and Sir Edmund Halley. In November...

give a better approximation to the value of the mathematical constant π (pi) than the partial sum approximation obtained by truncating the Madhava–Leibniz...