Records Set by y-cruncher

(Last updated: November 18, 2018)

 

 

 

Rules:

 

Ever since y-cruncher was unlocked in 2010 to allow anybody to set a record, it's become somewhat of a competition to stay atop the board. And because of this, some rules need to be set to keep things fair and to ensure an acceptable level of confidence that the computations are correct.

 

If you wish to set a record, you must:

  1. Run the computation twice using different algorithms.
  2. If using y-cruncher v0.7.5 or later, both computations must be done with "Verify Output" enabled.
  3. If using y-cruncher v0.7.6 or later, digit output must be enabled. You can't claim a record if the digits are never saved!
  4. The digits from both computations need to match.
  5. Then send me the validation files, but do not make any attempt to modify* them. It is recommended to zip or compress the file when sending over email (or any other medium) to protect it from being corrupted by file formatters.

*The validation files are protected with a checksum to prevent tampering/cheating. People have tried to cheat before - which is why we can't have nice things.

 

 

Exceptions for Pi:

 

Pi is special since it is the constant and everybody pushes to the extreme limit to compute it. Therefore there is a special method to verify Pi that doesn't require a second computation.

 

Note that for anyone attempting to set a Pi world record: Should the attempt succeed, I kindly ask that you make yourself sufficiently available for external requests to access or download the digits in its entirety (at least until it is broken again by someone else). Pi is popular enough that people do actually want to see the digits.

 

To compute and verify Pi using only one computation, you must:

  1. Run the main computation using the built-in Chudnovsky or Ramanujan formulas. Do not use a custom formula implementation.
  2. You must run the above computation in swap mode. Do not use ram only mode. (you're not likely to have the memory for it anyway)
  3. Hexadecimal digits must be enabled.
  4. Digit output must be enabled. You can't claim a record if the digits are never saved!
  5. "Verify Output" must be enabled.
  6. You must then run the BBP formula to the appropriate hexadecimal offset to match the main computation.
  7. The results of the BBP formula computation must match the last hexadecimal digits in the main computation.

#1 and #2 are needed because only the built-in swap mode implementations have the final verification step to ensure that errors are propagated to the last digits.

#3 is needed because you need the hexadecimal digits to compare with the BBP computation.

The rest are self-explanatory.

 

The BBP formula computation (#6) is very fast compared to the main computation. If you're attempting a Pi world record and you've been in contact with me the whole time, I will probably be doing this step for you on my own hardware as you near the end of your computation. So I will probably have the hexadecimal digits waiting for you at the end of the main computation.

 

This BBP formula method can theoretically be extended to other constants as well. But none of them have the additional verification steps to make this valid.

 

 

Custom Formulas:

 

The rule is that in order to claim a world record, you must do the computation using two computationally independent methods. This (unwritten) rule has existed for many decades and has long preceeded y-cruncher. Exceptions can be made only if there is an alternate method of verification.

 

"Computationally independent" means that any errors (hardware or software) that occur in either computation will (with extreme probability) cause the computations to either fail, or have mismatching digits.

 

For example, the following two methods to compute sqrt(Pi) are dependent:

If there is a bug in the implementation of the square root function, both computations will yield the same (incorrect) results. It doesn't matter if Pi itself is done using different algorithms*.

 

Up until y-cruncher v0.7.6, all the algorithms that it has provided for the same constant are indeed independent. This was intentional so that anybody can pick any two algorithms and run a compute/verify pair - no questions asked. But this changes in y-cruncher v0.7.7 due to the custom formula feature. Now you can enter your own formulas. And thus there is no longer any protection against using two formulas that are computationally dependent.

 

The line between whether a pair of formulas is sufficiently independent is not well-defined. So I will be making a judgement call on these. And I will reject world records done using a pair of formulas if I deem them to be too similar or not computationally independent.

 

*The same argument can be made about y-cruncher's radix conversion since all computations and all formulas will go through the same radix conversion code. The "Output Verify" option enables a series of verification steps for both the radix conversion and the output of digits to disk. This ensures that there is no single point of failure (hardware or software) that can lead to incorrect digits being undetected.

 

 

 

What Constants are Tracked:

 

Since there's an unlimited number of things that can be computed, I will only track a small subset of them.

 

The official list is (in approximate order of popularity and mathematical importance):

Constant First Digits Current World Record
Verified Unverified
Pi 3.14159265358979323846264338327950288419716939937510... 22,459,157,718,361  
e 2.71828182845904523536028747135266249775724709369995... 5,000,000,000,000 8,000,000,000,000
Euler-Mascheroni Constant 0.57721566490153286060651209008240243104215933593992... 477,511,832,674  
Sqrt(2) 1.41421356237309504880168872420969807856967187537694... 10,000,000,000,000  
Golden Ratio 1.61803398874989484820458683436563811772030917980576... 2,600,000,000,000 10,000,000,000,000
Log(2) 0.69314718055994530941723212145817656807550013436025... 500,000,000,000  
Zeta(3) - Apery's Constant 1.20205690315959428539973816151144999076498629234049... 500,000,000,000  
Catalan's Constant 0.91596559417721901505460351493238411077414937428167... 250,000,000,000 500,000,000,000
Lemniscate 5.24411510858423962092967917978223882736550990286324... 250,000,000,000  
Gamma(1/4) 3.62560990822190831193068515586767200299516768288006... 50,000,000,000  
Log(10) 2.30258509299404568401799145468436420760110148862877... 500,000,000,000  
Zeta(5) 1.03692775514336992633136548645703416805708091950191... 20,000,000,000  

As of this writing, all of these records are currently held by y-cruncher. But of course this can and will eventually change in the future.

 

 

Record Size Computations:

 

Blue: Current World Record

Green: Former World Record

Red: Unverified computation.*

 

*To protect against computation errors from software bugs and/or hardware instability, a computation must be verified before it counts as a world record.

This is usually done by repeating the computation using a different and independent formula.

Date Announced Date Completed: Source: Who: Constant: Decimal Digits: Time: Computer:
October 29, 2018 October 29, 2018 Screen Alexander Yee Gamma(1/4) 50,000,000,000 Compute:  15.5 hours

Verify:  19.1 hours

Intel Core i7 5960X @ 4.0 GHz

64 GB - 16 x 2TB 7200 RPM

October 27, 2018 October 27, 2018 Screen Alexander Yee Gamma(1/4) 20,000,000,000 Compute:  60.4 minutes

Verify:  149 minutes

Intel Core i9 7940X @ 3.6 GHz

128 GB DDR4

October 6, 2018 October 6, 2018 Screen Alexander Yee Zeta(5) 20,000,000,000 Compute:  25.3 hours

Verify:  17.3 hours

Intel Core i9 7940X @ 3.6 GHz

128 GB DDR4

September 23, 2018 September 23, 2018   Tizian Hanselmann Golden Ratio 2,600,000,000,000 Compute:  9.25 days

Verify:  9.03 days

2 x Intel Xeon E5620 @ 2.4 GHz
128/144 GB DDR4
4 x 4TB

August 28, 2018 August 28, 2018  

"yoyo" &

Ryan Moore

Golden Ratio 2,500,000,000,000 Compute:  42.2 hours

Verify:  169 hours

2 x Intel Xeon E5-2696 v4 @ 2.2 GHz
768 GB

Intel Core i7 7700K @ 4.2 GHz

32 GB

August 9, 2018 August 4, 2018   Gerald Hofmann e 8,000,000,000,000 Compute:  28.5 days

Not Verified

2 x AMD Epyc 7551 @ 2.0 GHz

256 GB

August 24, 2017 August 23, 2017   Ron Watkins Euler-Mascheroni Constant 477,511,832,674

Compute:  34.4 days

Verify:  34.4 days

4 x Xeon E5-4660 v3 @ 2.1 GHz - 1 TB
2 x Xeon X5690 @ 3.47 GHz - 128 GB
August 14, 2017 August 13, 2017   Ron Watkins Zeta(3) - Apery's Constant 500,000,000,000

Compute:  19.7 days

Verify:  29.8 days

8 x Xeon 6550 @ 2.0 GHz - 512 GB

2 x Xeon X5690 @ 3.46 GHz - 142 GB

November 15, 2016 November 11, 2016 Blog
Sponsor
Peter Trueb Pi 22,459,157,718,361 Compute:  105 days

Verify:  28 hours

Validation File

4 x Xeon E7-8890 v3 @ 2.50 GHz
1.25 TB DDR4
20 x 6 TB 7200 RPM Seagate
September 3, 2016 August 29, 2016   Ron Watkins e 5,000,000,000,000

Compute:  48.6 days

Verify:  48.7 days

2 x Xeon X5690 @ 3.47 GHz
141 GB
July 11, 2016 July 5, 2016   "yoyo" Golden Ratio 10,000,000,000,000

Compute:  6.2 days

Not Verified

2 x Intel Xeon E5-2696 v4 @ 2.2 GHz
768 GB
June 28, 2016 June 19, 2016   Ron Watkins Square Root of 2 10,000,000,000,000

Compute:  18.8 days

Verify:  25.2 days

2 x Xeon X5690 @ 3.47 GHz
141 GB
June 4, 2016 May 29, 2016   Ron Watkins Lemniscate 250,000,000,000

Compute:  91.7 hours

Verify:  270 hours

4 x Xeon E5-4660 v3 @ 2.1 GHz - 1TB
4 x Xeon X6550 @ 2 GHz - 512 GB
June 4, 2016 May 29, 2016   "yoyo" e 2,500,000,000,000

Compute:  55.8 hours

Not Verified

2 x Intel Xeon E5-2696 v4 @ 2.2 GHz
768 GB
June 4, 2016 June 2, 2016   "yoyo" Golden Ratio 5,000,000,000,000

Compute:  67.9 hours

Not Verified

2 x Intel Xeon E5-2696 v4 @ 2.2 GHz
768 GB
May 25, 2016 May 18, 2016   Ron Watkins Euler-Mascheroni Constant 250,000,000,000

Compute:  35.9 days

Verify:  30.65 days

2 x Xeon E5-4660 v3 @ 2.1 GHz - 1 TB
4 x Xeon X6550 @ 2.0 GHz - 512 GB
April 28, 2016 April 28, 2016   "yoyo" Golden Ratio 2,500,000,000,000

Compute:  42.2 hours

Verified by Ryan Moore

2 x Intel Xeon E5-2696 v4 @ 2.2 GHz
768 GB
April 24, 2016 April 18, 2016   Ron Watkins Log(2) 500,000,000,000

Compute:  12.8 days

Verify:  14.4 days

4 x Xeon X5690 @ 3.47 GHz - 141 GB
April 17, 2016 April 12, 2016   Ron Watkins Catalan's Constant 250,000,000,000

Compute:  204 hours

Verify:  207 hours

4 x Xeon E5-4660 v3 @ 2.1 GHz
1 TB
April 9, 2016 April 3, 2016   Ron Watkins Lemniscate 200,000,000,000

Compute:  61.6 hours

Verify:  73.7 hours

4 x Xeon X6550 @ 2 GHz - 492 GB
April 9, 2016 April 3, 2016   Ron Watkins Log(10) 500,000,000,000

Compute:  14.4 days

Verify:  15.2 days

2 x Xeon X5690 @ 3.47 GHz
141 GB
April 3, 2016 April 2, 2016   Ron Watkins Square Root of 2 5,000,000,000,000

Compute:  19.6 days

Verify:  20.8 days

4 x Xeon X7350 @ 2.93 GHz
96 GB
March 16, 2016 March 15, 2016   Peter Trueb Euler-Mascheroni Constant 160,000,000,000

Compute:  60.6 hours

Verify:  104 hours

4 x Xeon E7-8890 v3 @ 2.5 GHz
1.25 TB
February 9, 2016   Peter Trueb Lemniscate 190,000,000,000

Compute:  26.2 hours

Verify:  31.3 hours

4 x Xeon E7-8890 v3 @ 2.5 GHz
1.25 TB
February 17, 2016 February 14, 2016   Ron Watkins e 1,500,000,000,000

Compute:  116 hours

Verify:  116 hours

2 x Xeon X5690 @ 3.47 GHz
141 GB
February 8, 2016 February 7, 2016   Ron Watkins Log(10) 250,000,000,000

Compute:  70.1 hours

Verify:  79.3 hours

4 x Xeon X6550 @ 2 GHz - 512 GB
February 8, 2016   Johan Lundqvist Log(10) 240,000,000,000

Compute:  63.7 hours

Not Verified

2 x Intel Xeon E5-2698 v3 @ 2.3 GHz
204 GB
February 6, 2016   Mike A Catalan's Constant 500,000,000,000

Compute:  26.1 days

Not Verified

2 x Intel Xeon E5-2697 v3 @ 2.6 GHz
128 GB
February 1, 2016 January 30, 2016   Ron Watkins Log(2) 350,000,000,000

Compute:  132 hours

Verify:  92 hours

4 x Xeon X6550 @ 2 GHz - 512 GB
January 23, 2016 January 18, 2016   Ben Hadad Log(10) 211,111,111,111

Compute:  10.9 days

Not Verified

Intel Core i7 5960X @ 3 GHz
32 GB
January 20, 2016 January 14, 2016   Ron Watkins Square Root of 2 2,000,000,000,100

Compute:  213 hours

Verify:  284 hours

2 x Xeon X5690 @ 3.47 GHz
128 GB
December 21, 2015 December 21, 2015   Dipanjan Nag Zeta(3) - Apery's Constant 400,000,000,000

Compute:  22 days

Verify:  24 days

Xeon E5-2698B @ 2.0 GHz - 224 GB
December 21, 2015 December 21, 2015   Ron Watkins Lemniscate 130,000,000,000

Compute:  269 hours

Verify:  304 hours

4 x Xeon X6550 @ 2 GHz - 492 GB
November 26, 2015 August 1, 2014   David Hickox Log(2) 300,000,000,000

Compute:  75 days

Not Verified

Intel Core i7 4770K @ 3.5 GHz
16 GB DDR3
November 22, 2015 November 14, 2015   Ron Watkins Lemniscate 125,000,000,000

Compute:  217 hours

Verify:  251 hours

4 x Xeon X6550 @ 2 GHz - 256 GB
October 12, 2015 October 12, 2015   Ethan Gallagher Lemniscate 120,000,000,000

Compute:  111 days

Verified by Ron Watkins

Intel Core i5 4300U @ 2.5 GHz - 8 GB
August 11, 2015 August 7, 2015   Ron Watkins Zeta(3) - Apery's Constant 250,000,000,000

Compute:  152 hours

Verify:  162 hours

4 x Xeon X6550 @ 2 GHz - 512 GB
July 24, 2015 July 22, 2015
July 23, 2015
Source Ron Watkins
Dustin Kirkland
Golden Ratio 2,000,000,000,000

Compute:  77.3 hours

Verify:  76.33 hours

Compute:  79.3 hours

Verify:  80.8 hours

4 x Xeon X6550 @ 2 GHz - 512 GB
Xeon E5-2676 v3 @ 2.4 GHz - 64 GB
July 13, 2015 July 12, 2015   Ron Watkins Log(2) 250,000,000,000

Compute:  126 hours

Verify:  140 hours

4 x Xeon X6550 @ 2 GHz - 512 GB
July 8, 2015 July 5, 2015   Ron Watkins Lemniscate 100,000,000,000

Compute:  123 hours

Verify:  146 hours

4 x Xeon X6550 @ 2 GHz - 512 GB
June 26, 2015 June, 24, 2015   Ellie Hebert e 1,400,000,000,000

Compute:  15 days

Verify:  22 days

FX-8370 @ 4.0 GHz - 8 GB
FX-8370 @ 4.0 GHz - 16 GB
June 13, 2015 June 13, 2015   Andreas Stiller Lemniscate 80,000,000,000

Compute:  8.6 hours

Verify:  10.6 hours

4 x Intel Xeon E7-8890v3 @ 2.5 GHz
512 GB
June 8, 2015 June 7, 2015   Setti Financial LLC Catalan's Constant 200,000,001,100

Compute:  185 days

Verify:  72 days

 

Validations: 1, 2

Intel Core i7 4820K @ 4.5 GHz
24 GB DDR3
April 1, 2015 April 12, 2015   Ben Hadad Lemniscate 55,000,000,000

Compute:  40.4 hours

Verify:  6.99 days

2 x Xeon E5-2670 v2 @ 2.5 GHz
(32 vCPU only) - 244 GB
Intel Core i7 4790K - 8 GB
March 21, 2015 March 19, 2015   Andreas Stiller Lemniscate 40,000,000,000

Compute:  15.3 hours

Verify:  15.5 hours

4 x Xeon E7-4890 v2 @ 2.8 GHz
256 GB DDR3
February 9, 2015 February 9, 2015   Randy Ready Lemniscate 15,000,000,000

Compute:  6.0 hours

Verify:  7.2 hours

Amazon Web Services
2 x Xeon E5-2670 v2 @ 2.5 GHz
(32 Logical Cores only)
240 GB DDR3
October 8, 2014 October 7, 2014  

Sandon Van Ness

"houkouonchi"

Pi 13,300,000,000,000

Compute:  208 days

Verify:  182 hours

Validation File

2 x Xeon E5-4650L @ 2.6 GHz
192 GB DDR3 @ 1333 MHz
24 x 4 TB + 30 x 3 TB
March 24, 2014 March 10, 2014   Shigeru Kondo Log(10) 200,000,000,050

Compute: 44.4 hours

Verify: 49.7 hours

 

Validations: 1, 2

2 x Xeon E5-2690 @ 3.3 GHz
256 GB DDR3 @ 1600 MHz
12 x 3 TB
February 28, 2014   Shigeru Kondo Log(2) 200,000,000,050

Compute: 55.8 hours

Verify: 56.5 hours

 

Validations: 1, 2

2 x Xeon E5-2690 @ 3.3 GHz
256 GB DDR3 @ 1600 MHz
12 x 3 TB
December 28, 2013 December 28, 2013 Source Shigeru Kondo Pi 12,100,000,000,050

Compute: 94 days

Verify: 46 hours

2 x Xeon E5-2690 @ 2.9 GHz
128 GB DDR3 @ 1600 MHz
24 x 3 TB
December 22, 2013 December 22, 2013   Alexander Yee Euler-Mascheroni Constant 119,377,958,182

Compute:  50 days

Verify:  38 days

 

Validations: 1, 2

"Nagisa"
2 x Intel Xeon X5482 @ 3.2 GHz
64 GB DDR2 FB-DIMM
64 GB SSD (Boot) + 2 TB (Data)
8 x 2 TB (Computation)
September 13, 2013 September 13, 2013 Source Setti Financial LLC Zeta(3) - Apery's Constant 200,000,001,000

Compute:  ~5 months

Not Verified

Intel Core i5-3570S @ 3.1 GHz
16 GB
April 8, 2013 April 8, 2013 Source Setti Financial LLC Catalan's Constant 100,000,000,000

Compute:  ~4 months

Not Verified

2 x Intel Xeon X5460 @ 3.16 GHz
16 GB DDR2
February 9, 2012 February 9, 2012   Alexander Yee Square Root of 2 2,000,000,000,050

Compute:  110 hours
Verify:  119 hours

2 x Xeon X5482 @ 3.2 GHz - 64 GB
8 x 2 TB
Core i7 2600K @ 4.4 GHz - 16 GB
5 x 1 TB + 5 x 2 TB
October 17, 2011 October 16, 2011 Source Shigeru Kondo Pi 10,000,000,000,050

Compute:  371 days

Verify:  45 hours

2 x Intel Xeon X5680 @ 3.33 GHz
96 GB DDR3 @ 1066 MHz
24 x 2 TB
May 24, 2011 May 20, 2011   Shigeru Kondo Log(10) 100,000,000,000

Compute and Verify:
142 hours

Intel Core i7 2500K @ 4.8 GHz
16 GB DDR3 + 6 x 1 TB
May 14, 2011   Shigeru Kondo Log(2) 100,000,000,000

Compute and Verify:
142 hours

Intel Core i7 2500K @ 4.8 GHz
16 GB DDR3 + 6 x 1 TB
December 13, 2010 December 12, 2010   Alex Roberts Catalan's Constant 50,000,000,000

Compute:  35.5 days

Not Verified

AMD Phenom II X4 945 @ 3.0 GHz
8 GB
December 4, 2010 November 26, 2010   Alex Roberts Log(2) 50,000,000,000

Compute:  13.1 days

Independently Verified

Intel Core i7 720Q @ 1.60 GHz
4 GB DDR3
September 17, 2010 September 17, 2010 Source Alexander Yee Zeta(3) - Apery's Constant 100,000,001,000

Compute:  148 hours

Verify:  366 hours

"Nagisa" + "Ushio"
August 2, 2010 August 2, 2010 Source Shigeru Kondo &
Alexander Yee*
Pi 5,000,000,000,000

Compute:  90 days

Verify:  64 hours

2 x Intel Xeon X5680 @ 3.33 GHz
96 GB DDR3 @ 1066 MHz
16 x 2 TB
July 8, 2010 July 8, 2010 Source Alexander Yee Golden Ratio 1,000,000,000,000

Compute:  114 hours

Verify:  ~7 days*

*Not a continuous run.

"Nagisa"
2 x Intel Xeon X5482 @ 3.2 GHz
64 GB DDR2 FB-DIMM
1.5 TB (Boot + Output)
4 x 1 TB (2 x 2 RAID0) + 6 x 2 TB
July 5, 2010 July 5, 2010 Source Shigeru Kondo e 1,000,000,000,000

Compute: 224 hours

Verify: 219 hours

Intel Core i7 980X @ 3.33 GHz
12 GB DDR3
2 TB (Boot + Output)
8 x 1 TB (Computation)
March 22, 2010 March 22, 2010 Source Shigeru Kondo Square Root of 2 1,000,000,000,000

Compute:  193 hours

Verify:  98 hours

Core i7 975 @ 4 GHz - 12GB
8 x 1 TB HDs
2 x Xeon W5590 - 144GB
16 x 2 TB HDs
February 21, 2010 February 20, 2010 Source Alexander Yee e 500,000,000,000

Compute and Verify:
307 hours

"Ushio"
April 16, 2009 April 16, 2009 Source Alexander Yee &
Raymond Chan
Catalan's Constant 31,026,000,000

Compute:  178 hours

Verify:  221 hours

"Nagisa"
March 13, 2009 March 13, 2009 Source Alexander Yee &
Raymond Chan
Euler-Mascheroni Constant 29,844,489,545

Compute:  205 hours

Verify:  269 hours

"Nagisa"
February 28, 2009 Source Alexander Yee &
Raymond Chan
Log(10) 31,026,000,000

Compute and Verify:
40 hours

"Nagisa"
February 15, 2009 Source Alexander Yee &
Raymond Chan
Zeta(3) - Apery's Constant 31,026,000,000

Compute:  45 hours

Verify:  44 hours

"Nagisa"
February 4, 2009 Source Alexander Yee &
Raymond Chan
Log(2) 31,026,000,000

Compute:  24 hours

Verify:  16 hours

"Nagisa"
January 31, 2009 January 31, 2009 Source Alexander Yee &
Raymond Chan
Catalan's Constant 15,510,000,000

Compute:  88 hours

Verify:  100 hours

"Nagisa"
January 21, 2009 January 21, 2009 Source Alexander Yee &
Raymond Chan
Zeta(3) - Apery's Constant 15,510,000,000

Compute:  20 hours

Verify:  21 hours

"Nagisa"
January 18, 2009 January 18, 2009 Source Alexander Yee &
Raymond Chan
Euler-Mascheroni Constant 14,922,244,771

Compute:  96 hours

Verify:  134 hours

"Nagisa"
January 7, 2009 Source Alexander Yee &
Raymond Chan
Log(2) 15,500,000,000

Compute:  12.5 hours

Verify:  8.3 hours

"Nagisa"

*This first world record for Pi was run entirely by Shigeru Kondo, but with a lot of support from me (Alexander Yee) to get it done. There was also a lot of back-and-forth testing between the two of us to stabilize the y-cruncher software before he could actually run the main computation.

 

After this first record, we had more or less learned what was needed. So from there on, all the later records were mostly on his own.

 

 

Other Large Computations:

 

This is a list of other notably large computations. They are notable either because they are long running and either came close to a record, or are for less popular constants that nobody tracks.

 

In order to keep this table from getting out of hand, starting October 19, 2018, I will only officially be tracking world records for:

Everything else will be on a case-by-case basis. And I won't be accepting anything new unless it is a very expensive computation which I'll hand-wavingly define as:

 

Blue: Current World Record

Green: Former world record or not a world record.

Red: Unverified computation or not a world record.

Date Announced Date Completed: Source: Who: Constant: Decimal Digits: Time: Computer:
July 23, 2018 July 16, 2018   Tizian Hanselmann Sqrt(11) 300,000,000,000

Compute:  11.3 hours

Verify:  11.4 hours

Intel Xeon X5650 @ 2.67 GHz

240 GB

October 30, 2018 October 30, 2018 Screen Alexander Yee Cos(1) 250,000,000,000

Compute:  4.02 hours

Verify:  4.30 hours

Intel Core i7 5960X @ 4.0 GHz

64 GB - 16 x 2TB 7200 RPM

October 27, 2018 October 27, 2018 Screen Alexander Yee Log(5) 100,000,000,000

Compute:  13.5 hours

Verify:  14.7 hours

Intel Core i7 5960X @ 4.0 GHz

64 GB - 16 x 2TB 7200 RPM

October 27, 2018 October 26, 2018 Screen Alexander Yee Log(7) 100,000,000,000

Compute:  13.5 hours

Verify:  14.1 hours

Intel Core i7 5960X @ 4.0 GHz

64 GB - 16 x 2TB 7200 RPM

October 27, 2018 October 14, 2018   Alexander Yee Sin(1) 100,000,000,000

Compute:  2.84 hours

Verify:  5.54 hours

Intel Core i7 5960X @ 4.0 GHz

64 GB - 16 x 2TB 7200 RPM

October 27, 2018 October 26, 2018   Johannes Kloimböck Log(5) 5,000,000,000

Compute:  8.36 hours

Verify:  8.73 hours

Intel Xeon E3-1230 v2 @ 3.3 GHz

4 GB

October 27, 2018 October 26, 2018   Hsing Lo Log(5) 2,000,000,000

Compute:  3.04 hours

Verify:  2.70 hours

Intel Core i5 6198U @ 2.4 GHz

4 GB

October 25, 2018 October 25, 2018   Pablo Barros Log(7) 20,000,000,000

Compute:  2.58 hours

Verify:  2.43 hours

2 x Intel Xeon E5-2687 @ 3.1 GHz

128 GB

October 25, 2018 October 24, 2018   Hsing Lo Log(7) 5,000,000,000

Compute:  17.4 hours

Verify:  20.6 hours

Intel Core i5 6198U @ 2.4 GHz

4 GB

October 25, 2018 October 20, 2018   Johannes Kloimböck Log(7) 5,000,000,000

Compute:  58.1 hours

Verify:  17.2 hours

Intel Core i5 6200U @ 2.4 GHz

4 GB

October 19, 2018 October 18, 2018   Jacob Riffee Log(7) 2,500,000,000

Compute:  22.3 minutes

Verify:  22.8 minutes

Intel Core i7-770HQ @ 2.8 GHz

16 GB

October 10, 2018 September 26, 2018   Jiahao He (狼正ヒロシ) Log(7) 1,000,000,000

Compute:  18.0 minutes

Verify:  18.9 minutes

Intel Core i5 6200U @ 2.4 GHz

12 GB

September 15, 2018 September 11, 2018   Hsing Lo Sqrt(11) 500,000,000,000 Compute:  6.09 days

Intel Core i5 6198DU @ 2.4 GHz

4 GB

July 23, 2018 July 16, 2018   Tizian Hanselmann Sqrt(11) 200,000,000,000

Compute:  13.7 hours

Verify:  18.7 hours

Intel Xeon E5620 @ 2.4 GHz

64 GB

September 19, 2016 September 12, 2016   David Galilei Natale Sqrt(5) 1,700,000,000,000

Compute:  134 hours

Verify:  113 hours

Intel Core i7 3970X @ 3.2 GHz
64 GB
July 17, 2016 July 12, 2016   David Galilei Natele e 1,600,000,000,000

Compute:  216 hours

Intel Core i7 3970X @ 3.2 GHz
June 28, 2016 June 12, 2016   David Galilei Natele e 1,280,000,000,000

Compute:  150 hours

Intel Core i7 3970X @ 3.2 GHz
June 4, 2016 May 17, 2016   "yoyo" ArcCoth(2) 100,000,000,000

Compute:  9.68 hours

2 x Intel Xeon E5-2696 v4 @ 2.2 GHz
768 GB
May 18, 2016 April 30, 2016   David Hickox Log(10) 350,000,000,000

Compute:  63.8 days

Intel Core i7 4770K @ 3.5 GHz
16 GB DDR3
May 18, 2016 May 14, 2016   Ethan Gallagher Sqrt(11) 100,000,000,000

Compute:  48.8 hours

Verify:  19.5 hours

Intel Core i5 4300U @ 2.5 GHz
8 GB
April 9, 2016 March 26, 2016   Ron Watkins Sqrt(5) 1,000,000,000,000

Compute:  36.4 hours

Verify:  85.8 hours

2 x Xeon X5690 @ 3.47 GHz - 141 GB
2 x Xeon E5450 @ 3.0 GHz - 16 GB
April 3, 2016 March 27, 2016   Ron Watkins Sqrt(7) 1,000,000,000,000

Compute:  36.6 hours

Verify:  36.7 hours

2 x Xeon X5690 @ 3.47 GHz
141 GB
March 22, 2016   Ron Watkins Sqrt(3) 1,000,000,000,000

Compute:  36.7 hours

Verify:  36.6 hours

2 x Xeon X5690 @ 3.47 GHz
141 GB
March 21, 2016 March 19, 2016   Dario Ostuni Sqrt(11) 60,000,000,000

Compute:  16.5 hours

Verify:  18.3 hours

Intel Core i3 2130 @ 3.4 GHz
8 GB
February 8, 2016 February 6, 2016   Ethan Gallagher Sqrt(5) 150,000,000,000

Compute:  49.3 hours

Verify:  43.3 hours

Intel Core i5 4300U @ 2.5 GHz
8 GB
February 1, 2016 January 30, 2016   Ron Watkins Sqrt(3) 600,000,000,000

Compute:  45.5 hours

Verify:  50.1 hours

2 x Xeon E5450 @ 3.0 GHz
16 GB
January 30, 2016   Ethan Gallagher Sqrt(5) 100,000,000,000

Compute:  33.4 hours

Verify:  22.8 hours

Intel Core i5 4300U @ 2.5 GHz
8 GB
January 26, 2016 January 25, 2016   Ron Watkins Sqrt(3) 125,000,000,000

Compute:  10.8 hours

Verify:  14.3 hours

2 x Xeon E5450 @ 3.0 GHz
16 GB
January 24, 2016   Ben Hadad Sqrt(5) 85,000,000,000

Compute:  4.65 hours

Verify:  4.61 hours

Intel Core i7 5960X @ 3.0 GHz
32 GB
January 23, 2016   Ben Hadad Sqrt(3) 350,000,000,000

Compute:  37.4 hours

Verify:  44.6 hours

Intel Core i7 5960X @ 3.0 GHz
32 GB
February 4, 2016 January 23, 2016   Ethan Gallagher Sqrt(3) 150,000,000,001

Compute:  84.0 hours

Verify:  54.5 hours

Intel Core i5 4300U @ 2.5 GHz
8 GB
January 20, 2016 January 14, 2016   Ethan Gallagher Sqrt(3) 100,000,000,000

Compute:  21.6 hours

Verify:  22.7 hours

Intel Core i5 4300U @ 2.5 GHz
8 GB
January 11, 2016 January 7, 2016   Ron Watkins Sqrt(3) 91,804,925,913

Compute:  66 minutes

Verify:  71 minutes

4 x Xeon X6550 @ 2 GHz - 504 GB
December 27, 2015 December 24, 2015   Ethan Gallagher Sqrt(11) 50,000,000,000

Compute:  4.9 hours

Verify:  4.9 hours

Intel Core i5 4300U @ 2.5 GHz
8 GB
December 24, 2015   Ethan Gallagher Sqrt(7) 50,000,000,000

Compute:  5.2 hours

Verify:  4.9 hours

Intel Core i5 4300U @ 2.5 GHz
8 GB
December 24, 2015   Ethan Gallagher Sqrt(5) 50,000,000,000

Compute:  6.0 hours

Verify:  5.2 hours

Intel Core i5 4300U @ 2.5 GHz
8 GB
December 23, 2015   Ethan Gallagher Sqrt(3) 50,000,000,000

Compute:  5.1 hours

Verify:  6.7 hours

Intel Core i5 4300U @ 2.5 GHz
8 GB
June 4, 2016 October 23, 2016   Timothy J Flynn ArcCoth(2) 2,000,000,000

Compute:  3.21 hours

2 x Intel Xeon X5460 @ 3.16 GHz
8 GB
March 29, 2015 March 28, 2015   Ben Hadad Lemniscate 30,000,000,000

Compute:  74 hours

Intel Core i7 4790K @ 4.0 GHz
8 GB DDR3
March 29, 2015 March 18, 2014   David Hickox Log(3) 200,000,000,000

Compute:  33 days

Verify:  38 hours

Intel Core i7 4770K @ 3.5 GHz
16 GB DDR3