# 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):

Validation:

Calculation results are also available as smaller 1,000,000,000 digits.

Archive (Just a Registry):

https://archive.org/details/PiChudnovsky01

Decimal (Data Warning):

Validation: