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

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