Calculation Results for Pi up to 50,000,000,000 Digits
Calculation of the first 50,000,000,000 digits of Pi (\(\pi\)), both in decimal and hexadecimal digits.
\[\pi = \int_{-1}^1 \frac{dx}{\sqrt{1-x^2}}\] \[\pi = \frac{4}{1} - \frac{4}{3} + \frac{4}{5} - \frac{4}{7} + \frac{4}{9} - \frac{4}{11} + \frac{4}{13} - \cdots\]Chudnovsky Formula (Used to Compute Digits):
\[\frac{1}{\pi} = 12 \sum^\infty_{k=0} \frac{(-1)^k (6k)! (545140134k + 13591409)}{(3k)!(k!)^3 \left(640320\right)^{3k + 3/2}}\]Note that the digits are released under an Attribution-NonCommercial-NoDerivatives 4.0 International License, which prohibits commercial use and distribution of remixed, transformed, or built upon versions without consent. Proper attribution and indication of changes are required even if it is not a prohibited use case.
Archive (Just a Registry):
https://archive.org/details/pififtyb_181126
Decimal (Data Warning):
https://archive.org/download/pififtyb_181126/Pi-Dec-Chudnovsky_02.txt
Hexadecimal (Data Warning):
https://archive.org/download/pififtyb_181126/Pi-Hex-Chudnovsky_02.txt
Validation:
https://archive.org/download/pififtyb_181126/Pi-20181126-122913_02.txt
Calculation results are also available as smaller 1,000,000,000 digits.
Archive (Just a Registry):
https://archive.org/details/PiChudnovsky01
Decimal (Data Warning):
https://archive.org/download/PiChudnovsky01/Pi-Dec-Chudnovsky_01.txt
Hexadecimal (Data Warning):
https://archive.org/download/PiChudnovsky01/Pi-Hex-Chudnovsky_01.txt
Validation:
https://archive.org/download/PiChudnovsky01/Validation-Pi-1%2C000%2C000%2C000_01.txt
Special thanks to archive.org for storing these files, and Alexander J. Yee for developing and releasing y-cruncher (http://www.numberworld.org/y-cruncher/).
