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

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mesa
#1
Mar6-14, 10:50 AM
P: 509
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
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UltrafastPED
#2
Mar7-14, 08:25 AM
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Formulas are listed here: http://mathworld.wolfram.com/Euler-M...iConstant.html
SteamKing
#3
Mar7-14, 09:16 AM
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Quote Quote by mesa View Post
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
Took care of it.

mesa
#4
Mar7-14, 11:55 AM
P: 509
What function was used for current record of decimal places of EM cnst

Quote Quote by UltrafastPED View Post
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.

Quote Quote by SteamKing View Post
Took care of it.
And yet another reason why I love PF.
lurflurf
#5
Mar9-14, 09:46 PM
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P: 2,263
See Alexander J. Yee's site
http://www.numberworld.org/y-cruncher/algorithms.html
He used Brent-McMillan with Refinement.
mesa
#6
Mar17-14, 11:17 AM
P: 509
Quote Quote by lurflurf View Post
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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