# Calculation Results for the Golden Ratio up to 5,000,000,000 Digits

I have calculated 5,000,000,000 digits of the Golden Ratio, both in decimal and hexadecimal digits.

\[\varphi = \frac{1+\sqrt{5}}{2} = 1.6180339887\ldots\]Newton’s Method was used for computation.

**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/GoldenRatioNewton01

Decimal (Data Warning):

https://archive.org/download/GoldenRatioNewton01/Golden%20Ratio-Dec-Newton_01.txt

Hexadecimal (Data Warning):

https://archive.org/download/GoldenRatioNewton01/Golden%20Ratio-Hex-Newton_01.txt

Validation:

https://archive.org/download/GoldenRatioNewton01/Golden%20Ratio-20160729-221304_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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