What function was used for current record of decimal places of EM cnst

AI Thread Summary
The current record for the number of decimal places of the Euler-Mascheroni constant is 119,377,958,182, achieved by Alexander J. Yee and Raymond Chan. They utilized the Brent-McMillan algorithm with refinement to set this record. Earlier records included 31,000,000,000 decimal places, which was also noted in the discussion. The fastest converging formula mentioned is from Flajolet and Vardi, although its application remains unclear to some participants. Resources for further information include links to MathWorld and Alexander J. Yee's site.
mesa
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The record for the number of decimal places of accuracy for the Euler-Mascheroni constant stands at just over 29,000,000,000 decimal places set by Alexander J. Yee & Raymond Chan back in 2009. Does anyone know what function they used to set this record?

***EDIT***
On further searching the record now stands at 31,000,000,000 decimal places, Wow!
How do we update wikipedia? :P
***EDIT***
Make that 119,377,958,182 :biggrin:
 
Last edited:
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mesa said:
The record for the number of decimal places of accuracy for the Euler-Mascheroni constant stands at just over 29,000,000,000 decimal places set by Alexander J. Yee & Raymond Chan back in 2009. Does anyone know what function they used to set this record?

***EDIT***
On further searching the record now stands at 31,000,000,000 decimal places, Wow!
How do we update wikipedia? :P
***EDIT***
Make that 119,377,958,182 :biggrin:

Took care of it.
 
UltrafastPED said:
Formulas are listed here: http://mathworld.wolfram.com/Euler-MascheroniConstant.html

I looked through those before, it seems the fastest converging of the bunch is the one done by Flajolet and Vardi in '96 although I do not understand how the 'n' is used so could be wrong.

SteamKing said:
Took care of it.

And yet another reason why I love PF.
 
lurflurf said:
See Alexander J. Yee's site
http://www.numberworld.org/y-cruncher/algorithms.html
He used Brent-McMillan with Refinement.

I was on his site not too long ago, I have no idea how I miss these things...
Thanks for the link, it has exactly what I was asking for!
 

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