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 for a 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 to Alexander J. Yee for developing and releasing y-cruncher (http://www.numberworld.org/y-cruncher/).
