Medical student and aspiring computational biomedicine researcher. Current and former World Record Holder of the Euler–Mascheroni Constant, Apéry’s Constant, Catalan’s Constant, and other mathematical constants as of May 2023. If you are interested in receiving assistance to set a world record for various mathematical constants, including Pi, contact me using the email below. Copying or using any website content without permission is prohibited.

less than 1 minute read

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 Alexander J. Yee for developing and releasing y-cruncher (http://www.numberworld.org/y-cruncher/).

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