# Calculation Results for Pi up to 50,000,000,000 Digits

I have calculated 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 digits are released as an Attribution-NonCommercial-NoDerivatives 4.0 International License, meaning no commercial purposes and you cannot distribute a remixed, transformed, or built upon version without my consent. You must also give appropriate credit, provide a link to the license, and indicate if changes were made 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/).

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