francois viete has calculated the most digits of pi.
francois viete has calculated the most digits of pi.
who has calculated the most digits of pi?
francois viete
it produces about 14 digits of per term, and has been used for several record-setting calculations, including the first to surpass 1 billion (10) digits in 1989 by the chudnovsky brothers, 2.7 trillion (2.7×10) digits by fabrice bellard in 2009, 10 trillion (10) digits in 2011 by alexander yee and shigeru kondo, and over 22 trillion digits in 2016 by peter trueb. for similar formulas, see also the ramanujan–sato series.









































in 2006, mathematician simon plouffe used the pslq integer relation algorithm to generate several new formulas for , conforming to the following template:
pi
section::::fundamentals.:approximate value and digits.









































some approximations of "pi" include:









































bullet::::- integers: 3









































bullet::::- fractions: approximate fractions include (in order of increasing accuracy) , , , , , , and . (list is selected terms from and .)









































bullet::::- digits: the first 50 decimal digits are (see )









































digits in other number systems









































bullet::::- the first 48 binary (base 2) digits (called bits) are (see )









































bullet::::- the first 20 digits in hexadecimal (base 16) are (see )









































bullet::::- the first five sexagesimal (base 60) digits are 3;8,29,44,0,47 (see )









































section::::fundamentals.:complex numbers and euler's identity.
pi