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

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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):

Decimal (Data Warning):

Hexadecimal (Data Warning):


Special thanks to for storing these files, and Alexander J. Yee for developing and releasing y-cruncher (