(Last updated: March 7, 2011)
By Alexander J. Yee
Below is a listing of all the large computations that have been performed on "Nagisa", my dualprocessor gaming computer/workstation.
The program that was used in all computations here is ycruncher.
Computations:
Date Completed: 
Constant: 
Decimal Digits: 
Purpose/Comments: 
100,000,000,000 
World Record Size Computation 

1,000,000,000,000 
World Record Size Computation 

250,000,000,000 
Test for v0.5.3. 

100,000,000,000 
BurnIn after motherboard RMA. 

31,026,000,000 
World Record Size Computation 

29,844,489,545 
World Record Size Computation 

31,026,000,000 
World Record Size Computation 

31,026,000,000 
World Record Size Computation 

31,026,000,000 
World Record Size Computation 

31,026,000,000 
Test run for 31 billion digit arithmetic. 

15,510,000,000 
World Record Size Computation 

15,510,000,000 
World Record Size Computation 

14,922,244,771 
World Record Size Computation 

15,500,000,000 
World Record Size Computation 
Back To:
Zeta(3)  Apery's Constant  100,000,001,000 digits
(World Record: September 17, 2010)
This computation improves the previous verified record of 31,026,000,000 digits by Raymond Chan and myself.
The purpose of this computation was to test if any bugs were introduced into the other constants since the February 2009 computation.
There had been a lot of changes to the program since February 2009. So it became necessary to retest some of the less commonly used features.
Neither the computation nor the verification was done in a single contiguous run.
Decimal Digits Computed:  1,000,000,001,000 


Hexadecimal Digits Computed:  83,048,203,203 


Algorithm for Computation:  AmdeberhanZeilberger Formula 2 

Algorithm for Verification:  AmdeberhanZeilberger Formula 1 

Computers Involved:  Computation: "Nagisa" 2 x Intel Xeon X5482 Harpertown @ 3.2 GHz 64 GB (16 x 4 GB) DDR2 FBDIMM @ 800 MHz 8 x 2 TB Hitachi Deskstar 7200 RPM 

Verification: "Ushio" Intel Core i7 920 @ 2.67 GHz (overclock 3.5 GHz) 12 GB (6 x 2 GB) DDR3 @ 1066 MHz (overclock 1333 MHz) 4 x 1 TB Seagate 7200 RPM 
Golden Ratio  1,000,000,000,000 digits
(World Record: July 8, 2010)
This computation improves the previous verified record of 100,000,000,000 digits by Shigeru Kondo and Steve Pagliarulo.
This computation also verifies the previous unverified record of 300,647,710,720 digits by Yuliyan Anastasov and Steve Pagliarulo.
Decimal Digits Computed:  1,000,000,000,000 


Hexadecimal Digits Computed:  830,482,023,722 


Algorithm for Computation:  Newton's Method of sqrt(5) 

Algorithm for Verification:  Newton's Method of sqrt(125) 
Catalan's Constant  31,026,000,000 digits
(World Record: April 16, 2009)
This computation improves the previous record of 15,510,000,000 digits by Raymond Chan and myself.
This is also the first "very long" computation that was completed without any interrupts, on this computer.
Decimal Digits Computed:  31,026,000,000 


Hexadecimal Digits Computed:  25,766,535,268 


Algorithm for Computation:  Lupas Formula 

Algorithm for Verification:  Ramanujan's Formula 
EulerMascheroni Constant  29,844,489,545 digits
(World Record: March 13, 2009)
This computation improves the previous record of 14,922,244,771 digits by Raymond Chan and myself.
Note that this computation was supposed to be a compute and verify done in one contiguous run starting from February 17, 2009 and ending sometime around March 7  9.
However, a power outage occurred roughly 9 hours after the computation run had finished (and 9 hours into the verification). The backup battery surprisingly failed to handle the load.
The timing was very fortunate in that, had it been 9 hours earlier, it would have ruined the computation.
After taking a few days to test some new code, compute Log(10), and do some gaming, the verification was restarted on March 2, 2009.
Decimal Digits Computed:  29,844,489,545 


Hexadecimal Digits Computed:  24,785,312,074 


Algorithm for Computation:  BrentMcMillan with Refinement (n = 2^{33}) 

Algorithm for Verification:  BrentMcMillan (alone) (n = 2^{34}) 

Log(10)  31,026,000,000 digits
(World Record: March 13, 2009)
This computation verifies the previous record of 10,000,000,000 digits by S. Kondo and S. Pagliarulo.
Decimal Digits Computed:  31,026,000,000 


Hexadecimal Digits Computed:  25,766,535,268 

Algorithm for Computation:  Machinlike Formula 

Algorithm for Verification:  Machinlike Formula 
Zeta(3)  Apery's Constant  31,026,000,000 digits
(World Record: March 13, 2009)
This computation improves the previous record of 15,510,000,000 digits by Raymond Chan and myself.
Note that this computation was supposed to be a compute and verify done in one contiguous run starting from February 11, 2009 and ending 4 days later.
Since Zeta(3) is a relatively fast constant to compute, we decided to use this 31 billion digit run as a part of a multitasking test on the computer. (So that it's no big deal if we crashed the computer.)
The computation was given 60 GB of ram and set to low priority to make it a background program. This left 4 GB of ram for everything else  which is just enough to run Crysis on 64bit Vista... Then throughout the computation, we played games (mainly Crysis), watched Anime, did backups, defragmented, etc... Hence why the computation was slower than the verification.
Of all the things we did, nothing really destabilized the computer. Crysis did cause the computer to stall a few times from pagefile thrashing due to its memory leaks, but it never killed the computer.
After the computation had finished (and the verification had just started), we decided to test whether the computer could go into standby in the middle of a computation. The test failed  it turned off the monitors but it didn't power down  nor did it wake back up. (We have yet to resolve this issue.)
The computer was rebooted and the verification run was restarted a few hours later. (Hence why the timings below don't add up.)
In the future we'll try a hibernate test. It'll be interesting to see how long it takes to hibernate 64 GB of ram in the middle of a computation.
Decimal Digits Computed:  31,026,000,000 


Hexadecimal Digits Computed:  25,766,535,268 


Algorithm for Computation:  AmdeberhanZeilberger Formula 2 


Algorithm for Verification:  AmdeberhanZeilberger Formula 1 
Log(2)  31,026,000,000 digits
(World Record: March 13, 2009)
This computation improves the previous record of 15,500,000,000 digits by Raymond Chan and myself.
Decimal Digits Computed:  31,026,000,000 


Hexadecimal Digits Computed: 
25,766,535,268 


Algorithm for Computation:  Machinlike Formula 

Algorithm for Verification:  Machinlike Formula 
No size record here  obviously... The purpose of this computation was to test ycruncher's ability to handle 31 billion digit arithmetic.
This might be a new speed record for a nonsupercomputer though...
Decimal Digits Computed:  31,026,000,000 


Hexadecimal Digits Computed:  25,766,535,268 


Algorithm for Computation:  Chudnovsky Formula 

Algorithm for Verification:  Ramanujan's Fomula 
Catalan's Constant  15,510,000,000 digits
(World Record: January 31, 2009)
This computation verifies the previous record of 10,000,000,000 digits by S. Kondo and S. Pagliarulo.
Finally!!! After a hard drive failure during verification and a long day of swapfile salvaging, I have FINALLY verified my 15.5 billion digits of Catalan's Constant!!!
Decimal Digits Computed:  15,510,000,000 


Hexadecimal Digits Computed:  12,880,776,188 


Algorithm for Computation:  Lupas Formula 

Algorithm for Verification:  Ramanujan's Formula 
Zeta(3)  Apery's Constant  15,510,000,000 digits
(World Record: January 21, 2009)
This computation verifies the previous record of 10,000,000,000 digits by S. Kondo and S. Pagliarulo.
Decimal Digits Computed:  15,510,000,000 


Hexadecimal Digits Computed:  12,880,776,188 


Algorithm for Computation:  AmdeberhanZeilberger Formula 2 

Algorithm for Verification:  AmdeberhanZeilberger Formula 1 
EulerMascheroni Constant  14,922,244,771 digits
(World Record: January 20, 2009)
This computation verifies the previous record of 10,000,000,000 digits by S. Kondo and S. Pagliarulo.
Decimal Digits Computed:  14,922,244,771 


Hexadecimal Digits Computed:  12,392,656,036 


Algorithm for Computation:  BrentMcMillan with Refinement (n = 2^{32}) 

Algorithm for Verification:  BrentMcMillan (alone) (n = 2^{33}) 

Log(2)  15,500,000,000 digits
(World Record: January 20, 2009)
This computation verifies the previous record of 10,000,000,000 digits by S. Kondo and S. Pagliarulo.
Decimal Digits Computed:  15,500,000,000 


Hexadecimal Digits Computed: 



Algorithm for Computation:  Machinlike Formula 

Algorithm for Verification:  Machinlike Formula 
Questions or Comments
Contact me via email. I'm pretty good with responding unless it gets caught in my school's junk mail filter.