(Last updated: November 15, 2024)
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:
For y-cruncher v0.7.8, turning on disk I/O checksums is not necessary to establish a record. But it is recommended anyway to increase the chances of detecting errors before the end of the computation.
*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 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 file "Custom Formulas/#README.txt" will tell you all the dependent sets of formulas that cannot be used as a compute+verify pair.
*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... | 202,112,290,000,000 | |
e | 2.71828182845904523536028747135266249775724709369995... | 35,000,000,000,000 | |
Euler-Mascheroni Constant | 0.57721566490153286060651209008240243104215933593992... | 1,337,000,000,000 | |
Sqrt(2) | 1.41421356237309504880168872420969807856967187537694... | 20,000,000,000,000 | |
Golden Ratio | 1.61803398874989484820458683436563811772030917980576... | 20,000,000,000,000 | |
Log(2) | 0.69314718055994530941723212145817656807550013436025... | 1,500,000,000,100 | |
Zeta(3) - Apery's Constant | 1.20205690315959428539973816151144999076498629234049... | 2,020,569,031,595 | |
Catalan's Constant | 0.91596559417721901505460351493238411077414937428167... | 1,200,000,000,100 | |
Lemniscate | 5.24411510858423962092967917978223882736550990286324... | 1,200,000,000,100 | |
Gamma(1/4) | 3.62560990822190831193068515586767200299516768288006... | 1,001,001,001,001 | |
Gamma(1/3) | 2.67893853470774763365569294097467764412868937795730... | 1,000,000,000,000 | |
Log(10) | 2.30258509299404568401799145468436420760110148862877... | 1,000,000,000,000 | |
Zeta(5) | 1.03692775514336992633136548645703416805708091950191... | 260,000,000,000 | |
Gamma(1/5) | 4.59084371199880305320475827592915200343410999829340... | 3,000,000,010* |
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.
*Gamma(1/5) is a new constant. Currently (as of v0.8.5) there is only one fast formula that y-cruncher can run with nothing else to verify. Verification of Gerd Lamprecht's computation of 3 billion digits was done with a beta/prototype implementation of a different algorithm that will hopefully land in v0.8.6.
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 20, 2024 | October 19, 2024 | Source | Gerd Lamprecht | Gamma(1/5) | 3,000,000,010 | Compute: 48.5 minutes | Intel Core i7 7900X 32 GB |
October 20, 2024 | July 31, 2024 | Mamdouh Barakat | Gamma(1/4) | 1,001,001,001,001 | AMD Ryzen 7900X 128 GB AMD Threadripper 5965WX 256 GB |
||
June 28, 2024 | May 20, 2024 | Source | Jordan Ranous Kevin O’Brien Brian Beeler (StorageReview) |
Pi | 202,112,290,000,000 | 2 x Intel Xeon Platinum 8592+ |
|
May 12, 2024 | May 11, 2024 | Dmitriy Grigoryev | Zeta(5) | 260,000,000,000 | Compute: 5.11 days Verify: 6.93 days |
Intel Xeon W7-3465X 1 TB |
|
March 14, 2024 | February 27, 2024 | Source | Jordan Ranous Kevin O’Brien Brian Beeler (StorageReview) |
Pi | 105,000,000,000,000 | 2 x AMD Epyc 9754 |
|
February 13, 2024 | February 12, 2024 | Jordan Ranous | Log(2) | 3,000,000,000,000 | 2 x Intel Xeon Platinum 8460H 512 GB |
||
January 17, 2024 | January 10, 2023 | Mamdouh Barakat | Zeta(5) | 250,000,000,000 |
Verified by Dmitriy Grigoryev |
Intel Xeon Gold 5412U 125 GB |
|
January 17, 2024 | December 12, 2023 | Jordan Ranous | Gamma(1/4) | 1,000,000,000,000 | 2 x Intel Xeon Platinum 8450H 512 GB |
||
December 26, 2023 | December 24, 2023 | Jordan Ranous | e | 35,000,000,000,000 | 2 x Intel Xeon Platinum 8460H |
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December 26, 2023 | December 25, 2023 | Jordan Ranous | Square Root of 2 | 20,000,000,000,000 | 2 x Intel Xeon Platinum 8450H 512 GB 2 x Intel Xeon Platinum 8460H 512 GB |
||
December 26, 2023 | December 22, 2023 | Andrew Sun |
Zeta(3) - Apery's Constant | 2,020,569,031,595 | Compute: 5.61 days | 2 x Intel Xeon Platinum 8347C 505 GB 2 x Intel Xeon Platinum 8347C 507 GB |
|
December 26, 2023 | December 18, 2023 | Mamdouh Barakat | Gamma(1/4) | 500,000,000,100 | AMD Ryzen 9 7900X 128 GB |
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December 18, 2023 | December 15, 2023 | Jordan Ranous | Gamma(1/3) | 1,000,000,000,000 | 2 x Intel Xeon Platinum 8450H 512 GB |
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December 18, 2023 | December 11, 2023 | Jordan Ranous | Zeta(5) | 201,000,001,300 | 2 x AMD EPYC 9754 1.5 TB |
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December 2, 2023 | November 27, 2023 | Jordan Ranous | Golden Ratio | 20,000,000,000,000 | AMD Epyc 9654 - 1.5 TB Intel Xeon Platinum 8450H |
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November 13, 2023 | October 9, 2023 | Mamdouh Barakat |
Zeta(5) | 200,000,000,100 | AMD EPYC 9B14 |
||
September 9, 2023 | September 7, 2023 | Andrew Sun |
Euler-Mascheroni Constant | 1,337,000,000,000 | Intel Xeon Platinum 83470C 400 GB |
||
May 13, 2023 | May 13, 2023 | Jordan Ranous & Kevin O'Brien |
Euler-Mascheroni Constant | 700,000,000,000 | 2 x AMD Epyc 9654 1.5 TB |
||
July 17, 2022 | July 15, 2022 | Seungmin Kim | Lemniscate | 1,200,000,000,100 | 2 x Intel Xeon Gold 6140 |
||
June 8, 2022 | March 21, 2022 | Emma Haruka Iwao | Pi | 100,000,000,000,000 | 128 vCPU Intel Ice Lake (GCP) |
||
March 14, 2022 | March 9, 2022 | Seungmin Kim | Catalan's Constant | 1,200,000,000,100 | Compute: 48.6 days | 2 x Intel Xeon Gold 6140 |
|
January 5, 2022 | November 12, 2021 | Tizian Hanselmann | Square Root of 2 | 10,000,000,001,000 | Intel Xeon E7-4870 896 GB |
||
October 4, 2021 | September 30, 2021 | Chris Danneil |
Zeta(5) | 200,000,000,000 | Intel Xeon E5-268v4 |
||
October 4, 2021 | September 9, 2021 | William Echols | Log(2) | 1,500,000,000,000 | 2 x Intel Xeon E5-2690 v3 256 GB |
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August 17, 2021 | August 14, 2021 | Source | UAS Grisons | Pi | 62,831,853,071,796 | Compute: 108 days Verify: 34.4 hours |
AMD Epyc 7542 1 TB 34 + 4 Hard Drives |
February 14, 2021 | February 12, 2021 | Clifford Spielman | Golden Ratio | 10,000,000,000,000 | AMD Threadripper 3995WX 512 GB |
||
December 5, 2020 | November 22, 2020 | David Christle | e | 31,415,926,535,897 | 2 x Intel Xeon E5-2680 v2 252 GB |
||
September 13, 2020 | September 6, 2020 | Seungmin Kim | Log(10) | 1,200,000,000,100 | 2 x Intel Xeon E5-2699 v3 756 GB 2 x Intel Xeon Gold 5220 754 GB |
||
September 13, 2020 | September 6, 2020 | Andrew Sun | Catalan's Constant | 1,000,000,001,337 | Compute: 17.5 days | 2 x Intel Xeon E5-2690 v4 315 GB |
|
September 13, 2020 | August 19, 2020 | Seungmin Kim | Log(2) | 1,200,000,000,100 | 2 x Intel Xeon E5-2699 v3 756 GB 2 x Intel Xeon Gold 5220 754 GB |
||
August 9, 2020 | July 26, 2020 | Seungmin Kim | Zeta(3) - Apery's Constant | 1,200,000,000,100 | Compute: 31.7 days | 2 x Intel Xeon E5-2670 v3 503 GB 2 x Intel Xeon Gold 5220 754 GB |
|
August 9, 2020 | July 23, 2020 | Andrew Sun | Gamma(1/3) | 500,000,001,337 | Compute: 17.3 days | 2 x Intel Xeon E5-2690 v4 315 GB |
|
August 9, 2020 | July 20, 2020 | Damien Debin | Golden Ratio | 6,000,000,000,000 | 2 x Intel Xeon 8175M 756 GB |
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July 12, 2020 | July 11, 2020 | David Christle | e | 12,000,000,000,000 | 2 x Intel Xeon E5-2680 v2 252 GB 25 Hard Drives |
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June 28, 2020 | May 27, 2020 | Andrew Sun | Gamma(1/4) | 500,000,000,000 | 2 x Intel Xeon E5-2690 v4 315 GB |
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May 28, 2020 | May 26, 2020 | Euler-Mascheroni Constant | 600,000,000,100 | 2 x Intel Xeon Gold 6140 187 GB Intel Xeon 8280 768 GB |
|||
January 29, 2020 | January 29, 2020 | Blog | Timothy Mullican | Pi | 50,000,000,000,000 | 4 x Intel Xeon E7-4880 v2 315 GB 48 Hard Drives |
|
January 27, 2020 | January 11, 2020 | Seungmin Kim | Euler-Mascheroni Constant | 600,000,000,100 |
Not Verified |
2 x Intel Xeon Gold 6140 187 GB |
|
December 4, 2019 | November 13, 2019 | Christophe Patris de Broe & Alexandre Gouy & Cyril Hsu |
Golden Ratio | 20,000,000,000,000 |
Verified by Jordan Ranous |
2 x Intel Xeon Platinum 8268 768 GB |
|
November 26, 2019 | August 31, 2019 | Hiroyuki Oodaira (大平 寛之) | Log(10) | 1,000,000,000,000 | Compute: 8.73 days | AMD Ryzen 3700X 128 GB |
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September 23, 2019 | Hiroyuki Oodaira (大平 寛之) | Golden Ratio | 5,000,000,000,000 | Compute: 46.9 hours | AMD Ryzen 3700X 128 GB |
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October 21, 2019 | October 17, 2019 | Marco Julian Hummel | Gamma(1/3) | 274,877,906,944 | Compute: 11.2 days | 2 x Intel Xeon E5-2651 v2 192 GB |
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July 21, 2019 | July 16, 2019 | Catalan's Constant | 600,000,000,100 | 2 x Intel Xeon Gold 6140 187 GB |
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June 6, 2019 | May 26, 2019 | Ian Cutress | Zeta(3) - Apery's Constant | 1,000,000,000,000 | 2 x Intel Xeon 8260L 768 TB + 6 TB Optane 2 x Xeon 8280 1.5 TB |
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May 22, 2019 | May 21, 2019 | Screen | Lemniscate | 600,000,000,000 | 2 x Intel Xeon Gold 6140 187 GB 2 x Intel Xeon 8260L 768 GB + 6 TB Optane |
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May 8, 2019 | May 8, 2019 | Johannes Kloimböck | Lemniscate | 310,000,000,000 | Intel Xeon E3-1230 v6 32 GB |
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May 8, 2019 | May 7, 2019 | Seungmin Kim | Lemniscate | 600,000,000,000 |
Verified by Ian Cutress |
2 x Intel Xeon Gold 6140 187 GB |
|
April 29, 2019 | April 26, 2019 | Jacob Riffee | Log(2) | 1,000,000,000,000 | Compute: 30.9 days | Intel Xeon E5-2660 32 GB + 6 x 4 TB HD |
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April 22, 2019 | April 20, 2019 | Ian Cutress | Gamma(1/4) | 362,560,990,822 | Compute: 3.01 days | ||
April 15, 2019 | April 14, 2019 | Ian Cutress | Log(10) | 600,000,000,000 | 2 x Intel Xeon 8170M 384 GB + 2 x 2 TB SSD |
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April 9, 2019 | April 7, 2019 | Ian Cutress | Log(2) | 693,147,180,559 | |||
April 7, 2019 | April 7, 2019 | Screen | Lucian Ilea | Lemniscate | 300,000,000,000 | 2 x Intel Xeon E5-2690 v4 448 GB 2 x Intel Xeon 8260L @ 2.4 GHz 768 GB + 5.89 TB Optane |
|
March 29, 2019 | March 29, 2019 | Screen | Mike A |
Catalan's Constant | 500,000,000,000 | 2 x Intel Xeon E5-2696 v4 768 GB |
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March 25, 2019 | March 24, 2019 | Oliver Kruse |
Zeta(5) | 100,000,000,000 | AMD Threadripper 1950X 128 GB |
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March 23, 2019 | March 17, 2019 | Ian Cutress | Zeta(5) | 21,000,000,000 | Compute: 36.3 hours | ||
March 14, 2019 | January 21, 2019 | Blogs |
Emma Haruka Iwao | Pi | 31,415,926,535,897 | Compute: 121 days | 2 x Undisclosed Intel Xeon > 1.40 TB DDR4 > 240 TB SSD |
March 3, 2019 | March 3, 2019 | Screen | Alexander Yee | Gamma(1/3) | 200,000,000,000 | Compute: 42.5 hours | Intel Core i7 5960X 64 GB - 16 x 2TB 7200 RPM |
March 3, 2019 | February 26, 2019 | Screen | Alexander Yee | Gamma(1/3) | 100,000,000,000 | Compute: 35.8 hours | Intel Core i7 5960X 64 GB - 16 x 2TB 7200 RPM |
February 23, 2019 | February 22, 2019 | Screen | Alexander Yee | Gamma(1/3) | 20,000,000,000 | Compute: 52 minutes | Intel Core i9 7940X 128 GB DDR4 |
February 16, 2019 | February 16, 2019 | Tizian Hanselmann | Catalan's Constant | 300,000,000,000 | 2 x Intel Xeon X5650 240 GB |
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January 23, 2019 | January 23, 2019 | Oliver Kruse | Zeta(5) | 100,000,000,000 |
Verified by Ian Cutress |
AMD Threadripper 1950X 128 GB |
|
January 21, 2019 | January 17, 2019 | Gerald Hofmann | Golden Ratio | 16,180,339,887,498 |
Not Verified |
2 x AMD Epyc 7551 200 GB |
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January 6, 2019 | January 6, 2019 | Tizian Hanselmann | Golden Ratio | 3,000,000,000,100 | Intel Xeon X5650 240 GB |
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January 3, 2019 | January 3, 2019 | Gerald Hofmann | e | 8,000,000,000,000 | Compute: 28.5 days | 2 x AMD Epyc 7551 256 GB |
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December 10, 2018 | December 10, 2018 | Michael Kwok | Log(2) | 600,000,000,000 | Core i7 7700k - 16 GB Core i7 4790 - 16 GB |
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November 30, 2018 | November 30, 2018 | Screen | Alexander Yee | Gamma(1/4) | 100,000,000,000 | Compute: 32.0 hours | Intel Core i7 5960X 64 GB - 16 x 2TB 7200 RPM |
November 30, 2018 | November 27, 2018 | Kevin Humphreys | Golden Ratio | 3,000,000,000,000 | Compute: 10.3 days | Intel Xeon E5-2640 v2 48 GB |
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October 29, 2018 | October 29, 2018 | Screen | Alexander Yee | Gamma(1/4) | 50,000,000,000 | Compute: 15.5 hours | Intel Core i7 5960X 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 | 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 | Intel Core i9 7940X 128 GB DDR4 |
September 23, 2018 | September 23, 2018 | Tizian Hanselmann | Golden Ratio | 2,600,000,000,000 | Compute: 9.25 days | 2 x Intel Xeon E5620 |
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August 28, 2018 | August 28, 2018 | "yoyo" & Ryan Moore |
Golden Ratio | 2,500,000,000,000 | Compute: 42.2 hours | 2 x Intel Xeon E5-2696 v4 Intel Core i7 7700K 32 GB |
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August 24, 2017 | August 23, 2017 | Ron Watkins | Euler-Mascheroni Constant | 477,511,832,674 | 4 x Xeon E5-4660 v3 - 1 TB 2 x Xeon X5690 - 128 GB |
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August 14, 2017 | August 13, 2017 | Ron Watkins | Zeta(3) - Apery's Constant | 500,000,000,000 | 8 x Xeon 6550- 512 GB 2 x Xeon X5690 - 142 GB |
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November 15, 2016 | November 11, 2016 | Blog Sponsor |
Peter Trueb | Pi | 22,459,157,718,361 | Compute: 105 days | 4 x Xeon E7-8890 v3 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 | 2 x Xeon X5690 141 GB |
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July 11, 2016 | July 5, 2016 | "yoyo" | Golden Ratio | 10,000,000,000,000 |
Not Verified |
2 x Intel Xeon E5-2696 v4 768 GB |
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June 28, 2016 | June 19, 2016 | Ron Watkins | Square Root of 2 | 10,000,000,000,000 | 2 x Xeon X5690 141 GB |
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June 4, 2016 | May 29, 2016 | Ron Watkins | Lemniscate | 250,000,000,000 | 4 x Xeon E5-4660 v3 - 1TB 4 x Xeon X6550 - 512 GB |
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June 4, 2016 | May 29, 2016 | "yoyo" | e | 2,500,000,000,000 |
Not Verified |
2 x Intel Xeon E5-2696 v4 768 GB |
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June 4, 2016 | June 2, 2016 | "yoyo" | Golden Ratio | 5,000,000,000,000 |
Not Verified |
2 x Intel Xeon E5-2696 v4 768 GB |
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May 25, 2016 | May 18, 2016 | Ron Watkins | Euler-Mascheroni Constant | 250,000,000,000 | 2 x Xeon E5-4660 v3 - 1 TB 4 x Xeon X6550 - 512 GB |
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April 28, 2016 | April 28, 2016 | "yoyo" | Golden Ratio | 2,500,000,000,000 |
Verified by Ryan Moore |
2 x Intel Xeon E5-2696 v4 768 GB |
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April 24, 2016 | April 18, 2016 | Ron Watkins | Log(2) | 500,000,000,000 | 4 x Xeon X5690 - 141 GB | ||
April 17, 2016 | April 12, 2016 | Ron Watkins | Catalan's Constant | 250,000,000,000 | 4 x Xeon E5-4660 v3 1 TB |
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April 9, 2016 | April 3, 2016 | Ron Watkins | Lemniscate | 200,000,000,000 | 4 x Xeon X6550 492 GB |
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April 9, 2016 | April 3, 2016 | Ron Watkins | Log(10) | 500,000,000,000 | 2 x Xeon X5690 141 GB |
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April 3, 2016 | April 2, 2016 | Ron Watkins | Square Root of 2 | 5,000,000,000,000 | 4 x Xeon X7350 96 GB |
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March 16, 2016 | March 15, 2016 | Peter Trueb | Euler-Mascheroni Constant | 160,000,000,000 | 4 x Xeon E7-8890 v3 1.25 TB |
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February 9, 2016 | Peter Trueb | Lemniscate | 190,000,000,000 | 4 x Xeon E7-8890 v3 1.25 TB |
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February 17, 2016 | February 14, 2016 | Ron Watkins | e | 1,500,000,000,000 | 2 x Xeon X5690 141 GB |
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February 8, 2016 | February 7, 2016 | Ron Watkins | Log(10) | 250,000,000,000 | 4 x Xeon X6550 - 512 GB | ||
February 8, 2016 | Johan Lundqvist | Log(10) | 240,000,000,000 |
Not Verified |
2 x Intel Xeon E5-2698 v3 204 GB |
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February 6, 2016 | Mike A | Catalan's Constant | 500,000,000,000 |
Verified by Ian Cutress |
2 x Intel Xeon E5-2697 v3 128 GB |
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February 1, 2016 | January 30, 2016 | Ron Watkins | Log(2) | 350,000,000,000 | 4 x Xeon X6550 - 512 GB | ||
January 23, 2016 | January 18, 2016 | Ben Hadad | Log(10) | 211,111,111,111 |
Not Verified |
Intel Core i7 5960X 32 GB |
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January 20, 2016 | January 14, 2016 | Ron Watkins | Square Root of 2 | 2,000,000,000,100 | 2 x Xeon X5690 128 GB |
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December 21, 2015 | December 21, 2015 | Dipanjan Nag | Zeta(3) - Apery's Constant | 400,000,000,000 | Xeon E5-2698B 224 GB |
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December 21, 2015 | December 21, 2015 | Ron Watkins | Lemniscate | 130,000,000,000 | 4 x Xeon X6550 492 GB |
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November 26, 2015 | August 1, 2014 | David Hickox | Log(2) | 300,000,000,000 |
Not Verified |
Intel Core i7 4770K 16 GB DDR3 |
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November 22, 2015 | November 14, 2015 | Ron Watkins | Lemniscate | 125,000,000,000 | 4 x Xeon X6550 256 GB |
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October 12, 2015 | October 12, 2015 | Ethan Gallagher | Lemniscate | 120,000,000,000 |
Verified by Ron Watkins |
Intel Core i5 4300U 8 GB |
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August 11, 2015 | August 7, 2015 | Ron Watkins | Zeta(3) - Apery's Constant | 250,000,000,000 | 4 x Xeon X6550 512 GB |
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July 24, 2015 | July 22, 2015 July 23, 2015 |
Source | Ron Watkins Dustin Kirkland |
Golden Ratio | 2,000,000,000,000 | 4 x Xeon X6550 - 512 GB Xeon E5-2676 v3 - 64 GB |
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July 13, 2015 | July 12, 2015 | Ron Watkins | Log(2) | 250,000,000,000 | 4 x Xeon X6550 - 512 GB | ||
July 8, 2015 | July 5, 2015 | Ron Watkins | Lemniscate | 100,000,000,000 | 4 x Xeon X6550 - 512 GB | ||
June 26, 2015 | June, 24, 2015 | Ellie Hebert | e | 1,400,000,000,000 | FX-8370 - 8 GB FX-8370 - 16 GB |
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June 13, 2015 | June 13, 2015 | Andreas Stiller | Lemniscate | 80,000,000,000 | 4 x Intel Xeon E7-8890v3 512 GB |
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June 8, 2015 | June 7, 2015 | Setti Financial LLC | Catalan's Constant | 200,000,001,100 |
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Intel Core i7 4820K 24 GB DDR3 |
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April 1, 2015 | April 12, 2015 | Ben Hadad | Lemniscate | 55,000,000,000 | 2 x Xeon E5-2670 v2 (32 vCPU only) - 244 GB Intel Core i7 4790K - 8 GB |
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March 21, 2015 | March 19, 2015 | Andreas Stiller | Lemniscate | 40,000,000,000 | 4 x Xeon E7-4890 v2 256 GB DDR3 |
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February 9, 2015 | February 9, 2015 | Randy Ready | Lemniscate | 15,000,000,000 | Amazon Web Services 2 x Xeon E5-2670 v2 (32 Logical Cores only) 240 GB DDR3 |
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October 8, 2014 | October 7, 2014 | Sandon Van Ness "houkouonchi" |
Pi | 13,300,000,000,000 | 2 x Xeon E5-4650L 192 GB DDR3 24 x 4 TB + 30 x 3 TB |
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March 24, 2014 | March 10, 2014 | Shigeru Kondo | Log(10) | 200,000,000,050 |
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2 x Xeon E5-2690 256 GB DDR3 12 x 3 TB |
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February 28, 2014 | Shigeru Kondo | Log(2) | 200,000,000,050 |
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2 x Xeon E5-2690 256 GB DDR3 12 x 3 TB |
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December 28, 2013 | December 28, 2013 | Source | Shigeru Kondo | Pi | 12,100,000,000,050 | 2 x Xeon E5-2690 128 GB DDR3 24 x 3 TB |
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December 22, 2013 | December 22, 2013 | Alexander Yee | Euler-Mascheroni Constant | 119,377,958,182 |
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"Nagisa" 2 x Intel Xeon X5482 64 GB DDR2 FB-DIMM 64 GB SSD (Boot) + 2 TB (Data) 8 x 2 TB (Computation) |
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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 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 16 GB DDR2 |
February 9, 2012 | February 9, 2012 | Alexander Yee | Square Root of 2 | 2,000,000,000,050 | 2 x Xeon X5482 - 64 GB 8 x 2 TB Core i7 2600K - 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 | 2 x Intel Xeon X5680 96 GB DDR3 24 x 2 TB |
|
May 24, 2011 | May 20, 2011 | Shigeru Kondo | Log(10) | 100,000,000,000 | Compute and Verify: |
Intel Core i7 2500K 16 GB DDR3 + 6 x 1 TB |
|
May 14, 2011 | Shigeru Kondo | Log(2) | 100,000,000,000 | Compute and Verify: |
Intel Core i7 2500K 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 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 4 GB DDR3 |
|
September 17, 2010 | September 17, 2010 | Source | Alexander Yee | Zeta(3) - Apery's Constant | 100,000,001,000 | "Nagisa" + "Ushio" | |
August 2, 2010 | August 2, 2010 | Source | Shigeru Kondo & Alexander Yee* |
Pi | 5,000,000,000,000 | 2 x Intel Xeon X5680 96 GB DDR3 16 x 2 TB |
|
July 8, 2010 | July 8, 2010 | Source | Alexander Yee | Golden Ratio | 1,000,000,000,000 |
*Not a continuous run. |
"Nagisa" 2 x Intel Xeon X5482 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 | Intel Core i7 980X 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 | Core i7 975 - 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: |
"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: |
"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.
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: |
May 12, 2024 | May 12, 2024 | Dongyue Zhou | Sqrt(3) | 3,141,592,653,589 | 2 x Intel Platinum 8163 512 GB |
||
December 10, 2023 | December 10, 2023 | Jordan Ranous | Gamma(1/3) | 345,678,969,420 | 2 x Intel Platinum 8450H 512 GB |
||
September 7, 2023 | July 22, 2023 | Shivam Patel | Erf(1) | 200,000,000,000 | AMD Epyc 7B12 198 GB |
||
October 31, 2021 | October 9, 2021 | John Kominek | Sqrt(11) | 2,284,000,000,000 | 2 x Intel Xeon Gold 6248R 1.47 TB |
||
October 7, 2021 | John Kominek | Sqrt(7) | 2,275,000,000,000 | 2 x Intel Xeon Gold 6248R 1.47 TB |
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October 7, 2021 | John Kominek | Sqrt(5) | 2,250,000,000,000 | 2 x Intel Xeon Gold 6248R 1.47 TB |
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October 5, 2021 | John Kominek | Sqrt(3) | 2,250,000,000,000 | 2 x Intel Xeon Gold 6248R 1.47 TB |
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March 13, 2021 | December 29, 2020 | Marco Julian Hummel & Lara Jasmin Hummel |
Cos(1) | 1,099,511,627,776 | 2 x Intel Xeon Gold 6248R 1.47 TB |
||
November 22, 2020 | Marco Julian Hummel & Lara Jasmin Hummel |
Sqrt(11) | 2,199,023,255,552 | 2 x Intel Xeon E5-2651 v2 192 GB |
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November 7, 2020 | Marco Julian Hummel & Lara Jasmin Hummel |
Sqrt(7) | 2,199,023,255,552 | 2 x Intel Xeon E5-2651 v2 192 GB |
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October 23, 2020 | Marco Julian Hummel & Lara Jasmin Hummel |
Sqrt(5) | 2,199,023,255,552 | 2 x Intel Xeon E5-2651 v2 192 GB |
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October 2, 2020 | Marco Julian Hummel & Lara Jasmin Hummel |
Sqrt(3) | 2,199,023,255,552 | 2 x Intel Xeon E5-2651 v2 192 GB |
|||
September 5, 2020 | Marco Julian Hummel & Lara Jasmin Hummel |
Log(11) | 274,877,906,944 | 2 x Intel Xeon E5-2651 v2 192 GB |
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September 27, 2020 | April 19, 2020 | Greg Hogan | Gauss | 125,000,000,000 | 2 x Intel Xeon 8259CL 748 GB |
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September 13, 2020 | August 12, 2020 | Marco Julian Hummel & Lara Jasmin Hummel |
Log(7) | 549,755,813,888 | 2 x Intel Xeon E5-2651 v2 192 GB |
||
August 9, 2020 | August 3, 2020 | Andreas Bartsch | Erf(1) | 150,000,000,000 | AMD Ryzen 7 3700U 6 GB |
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July 12, 2020 | June 29, 2020 | Marco Julian Hummel & Lara Jasmin Hummel |
Log(5) | 549,755,813,888 | 2 x Intel Xeon E5-2651 v2 192 GB |
||
June 28, 2020 | May 17, 2020 | Marco Julian Hummel & Lara Jasmin Hummel |
Log(3) | 549,755,813,888 | 2 x Intel Xeon E5-2651 v2 192 GB |
||
April 5, 2020 | Marco Julian Hummel & Lara Jasmin Hummel |
Sin(1) | 1,099,511,627,776 | 2 x Intel Xeon E5-2651 v2 192 GB |
|||
February 4, 2020 | Marco Julian Hummel & Lara Jasmin Hummel |
Log(11) | 137,438,953,450 | 2 x Intel Xeon E5-2651 v2 192 GB |
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Janurary 29, 2020 | Marco Julian Hummel & Lara Jasmin Hummel |
Cbrt(2) | 2,199,023,255,552 | 2 x Intel Xeon E5-2651 v2 192 GB |
|||
May 28, 2020 | May 23, 2020 | Tizian Hanselmann | Gauss | 55,000,000,000 | 4 x Intel Xeon E7-4870 896 GB |
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January 29, 2020 | December 16, 2019 | Oliver Kruse | Gauss | 50,000,000,000 | Intel Core i7 8850H 32 GB |
||
January 5, 2020 | December 29, 2019 | Johannes Kloimböck | Sin(1) | 300,000,000,000 | Intel Xeon E3-1230 v6 32 GB |
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December 16, 2019 | December 5, 2019 | Marco Julian Hummel & Lara Jasmin Hummel |
Cos(1) | 274,877,906,944 | Intel Xeon E5-2651 v2 192 GB |
||
November 30, 2019 | Marco Julian Hummel & Lara Jasmin Hummel |
Sin(1) | 274,877,906,944 | Intel Xeon E5-2651 v2 192 GB |
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December 16, 2019 | December 14, 2019 | Patrick Lee | Log(10) | 1,000,000,000,000 | Intel Xeon E3-1270 v3 32 GB 8 x 2TB |
||
November 26, 2019 | October 27, 2019 | Hiroyuki Oodaira (大平 寛之) | Log(7) | 500,000,000,000 | AMD Ryzen 3700X 128 GB |
||
October 17, 2019 | Hiroyuki Oodaira (大平 寛之) | Log(5) | 500,000,000,000 | AMD Ryzen 3700X 128 GB |
|||
October 9, 2019 | Hiroyuki Oodaira (大平 寛之) | Log(3) | 500,000,000,000 | AMD Ryzen 3700X 128 GB |
|||
November 17, 2019 | November 12, 2019 | Marco Julian Hummel & Lara Jasmin Hummel |
Log(7) | 274,877,906,944 | Intel Xeon E5-2651 v2 192 GB |
||
October 30, 2019 | October 29, 2019 | Johannes Kloimböck | Cbrt(2) | 1,100,000,000,000 | Intel Xeon E3-1230 v6 32 GB |
||
October 30, 2019 | October 27, 2019 | Marco Julian Hummel & Lara Jasmin Hummel |
Bronze Ratio | 1,307,674,368,000 | Intel Xeon E5-2651 v2 192 GB |
||
October 5, 2019 | October 5, 2019 | Johannes Kloimböck | Log(7) | 200,000,000,000 | Intel Xeon E3-1230 v6 32 GB |
||
September 16, 2019 | September 9, 2019 | Kevin Tu | Log(5) | 150,000,000,000 | Compute: 19.8 days
Not Verified |
Unknown Intel 8 GB |
|
September 8, 2019 | September 4, 2019 | Marco Julian Hummel | Cbrt(2) | 1,099,511,627,776 | 2 x Intel E5-2651 v2 192 GB |
||
August 14, 2019 | August 12, 2019 | Marco Julian Hummel | Log(3) | 274,877,906,944 | Intel 6700HQ 16 GB Intel i5 4310M 8 GB |
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August 8, 2019 | July 9, 2019 | Hiroyuki Oodaira (大平 寛之) | Sqrt(11) | 2,000,000,000,000 | AMD Ryzen 7 2700 64 GB + 5 x NVMe |
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July 7, 2019 | Hiroyuki Oodaira (大平 寛之) | Sqrt(7) | 2,000,000,000,000 | AMD Ryzen 7 2700 64 GB + 5 x NVMe |
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July 4, 2019 | Hiroyuki Oodaira (大平 寛之) | Sqrt(5) | 2,000,000,000,000 | AMD Ryzen 7 2700 64 GB + 5 x NVMe |
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June 9, 2019 | Hiroyuki Oodaira (大平 寛之) | Sqrt(3) | 2,000,000,000,000 | AMD Ryzen 7 2700 64 GB + 5 x NVMe |
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July 21, 2019 | July 19, 2019 | Marco Julian Hummel | Log(5) | 137,438,953,472 | Intel Core i7 6700HQ Intel Core i5 4310M |
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July 5, 2019 | July 5, 2019 | Marco Julian Hummel | Log(7) | 137,438,953,472 | Intel Core i7 6700HQ Intel Core i5 4310M |
||
May 21, 2019 | May 9, 2019 | Screen | newalex | Pi | 2,500,000,000,000 | Compute: 5.49 days | 2 x Intel Xeon E5-2686 v4 |
April 29, 2019 | April 28, 2019 | Shivam N Patel | Log(7) | 105,000,000,000 | Compute: 30.3 days
Not Verified |
2 x Intel Xeon E5-2620 v4 128 GB |
|
April 29, 2019 | April 22, 2019 | newalex | Gamma(1/4) | 250,000,000,000 | 2 x Intel Platinum 8175M 756 GB |
||
April 29, 2019 | April 9, 2019 | Johannes Kloimböck | Sin(1) | 150,000,000,000 | Intel Core i5 6200U 4 GB |
||
January 6, 2019 | December 8, 2018 | Tizian Hanselmann | Sqrt(11) | 1,000,000,000,000 | Intel Xeon X5650 240 GB |
||
December 23, 2018 | December 19, 2018 | Johannes Kloimböck | Log(5) | 120,000,000,000 | Intel Xeon E3-1230 v2 8 GB |
||
November 26, 2018 | November 23, 2018 | Hsing Lo | Sqrt(11) | 500,000,000,000 | Intel Core i5 6198DU 4 GB |
||
July 23, 2018 | July 16, 2018 | Tizian Hanselmann | Sqrt(11) | 300,000,000,000 | Intel Xeon X5650 240 GB |
||
October 30, 2018 | October 30, 2018 | Screen | Alexander Yee | Cos(1) | 250,000,000,000 | Intel Core i7 5960X 64 GB - 16 x 2TB 7200 RPM |
|
October 27, 2018 | October 27, 2018 | Screen | Alexander Yee | Log(5) | 100,000,000,000 | Intel Core i7 5960X 64 GB - 16 x 2TB 7200 RPM |
|
October 27, 2018 | October 26, 2018 | Screen | Alexander Yee | Log(7) | 100,000,000,000 | Intel Core i7 5960X 64 GB - 16 x 2TB 7200 RPM |
|
October 27, 2018 | October 14, 2018 | Alexander Yee | Sin(1) | 100,000,000,000 | Intel Core i7 5960X 64 GB - 16 x 2TB 7200 RPM |
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October 27, 2018 | October 26, 2018 | Johannes Kloimböck | Log(5) | 5,000,000,000 | Intel Xeon E3-1230 v2 4 GB |
||
October 27, 2018 | October 26, 2018 | Hsing Lo | Log(5) | 2,000,000,000 | Intel Core i5 6198U 4 GB |
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October 25, 2018 | October 25, 2018 | Pablo Barros | Log(7) | 20,000,000,000 | 2 x Intel Xeon E5-2687 128 GB |
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October 25, 2018 | October 24, 2018 | Hsing Lo | Log(7) | 5,000,000,000 | Intel Core i5 6198U 4 GB |
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October 25, 2018 | October 20, 2018 | Johannes Kloimböck | Log(7) | 5,000,000,000 | Intel Core i5 6200U 4 GB |
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October 19, 2018 | October 18, 2018 | Jacob Riffee | Log(7) | 2,500,000,000 | Intel Core i7-770HQ 16 GB |
||
October 10, 2018 | September 26, 2018 | Jiahao He (狼正ヒロシ) | Log(7) | 1,000,000,000 | Intel Core i5 6200U 12 GB |
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July 23, 2018 | July 16, 2018 | Tizian Hanselmann | Sqrt(11) | 200,000,000,000 | Intel Xeon E5620 64 GB |
||
September 19, 2016 | September 12, 2016 | David Galilei Natale | Sqrt(5) | 1,700,000,000,000 | Intel Core i7 3970X 64 GB |
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July 17, 2016 | July 12, 2016 | David Galilei Natele | e | 1,600,000,000,000 | Intel Core i7 3970X | ||
June 28, 2016 | June 12, 2016 | David Galilei Natele | e | 1,280,000,000,000 | Intel Core i7 3970X | ||
June 4, 2016 | May 17, 2016 | "yoyo" | ArcCoth(2) | 100,000,000,000 | 2 x Intel Xeon E5-2696 v4 768 GB |
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May 18, 2016 | April 30, 2016 | David Hickox | Log(10) | 350,000,000,000 | Intel Core i7 4770K 16 GB DDR3 |
||
May 18, 2016 | May 14, 2016 | Ethan Gallagher | Sqrt(11) | 100,000,000,000 | Intel Core i5 4300U 8 GB |
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April 9, 2016 | March 26, 2016 | Ron Watkins | Sqrt(5) | 1,000,000,000,000 | 2 x Xeon X5690 - 141 GB 2 x Xeon E5450 - 16 GB |
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April 3, 2016 | March 27, 2016 | Ron Watkins | Sqrt(7) | 1,000,000,000,000 | 2 x Xeon X5690 141 GB |
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March 22, 2016 | Ron Watkins | Sqrt(3) | 1,000,000,000,000 | 2 x Xeon X5690 141 GB |
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March 21, 2016 | March 19, 2016 | Dario Ostuni | Sqrt(11) | 60,000,000,000 | Intel Core i3 2130 8 GB |
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February 8, 2016 | February 6, 2016 | Ethan Gallagher | Sqrt(5) | 150,000,000,000 | Intel Core i5 4300U 8 GB |
||
February 1, 2016 | January 30, 2016 | Ron Watkins | Sqrt(3) | 600,000,000,000 | 2 x Xeon E5450 16 GB |
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January 30, 2016 | Ethan Gallagher | Sqrt(5) | 100,000,000,000 | Intel Core i5 4300U 8 GB |
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January 26, 2016 | January 25, 2016 | Ron Watkins | Sqrt(3) | 125,000,000,000 | 2 x Xeon E5450 16 GB |
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January 24, 2016 | Ben Hadad | Sqrt(5) | 85,000,000,000 | Intel Core i7 5960X 32 GB |
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January 23, 2016 | Ben Hadad | Sqrt(3) | 350,000,000,000 | Intel Core i7 5960X 32 GB |
|||
February 4, 2016 | January 23, 2016 | Ethan Gallagher | Sqrt(3) | 150,000,000,001 | Intel Core i5 4300U 8 GB |
||
January 20, 2016 | January 14, 2016 | Ethan Gallagher | Sqrt(3) | 100,000,000,000 | Intel Core i5 4300U 8 GB |
||
January 11, 2016 | January 7, 2016 | Ron Watkins | Sqrt(3) | 91,804,925,913 | 4 x Xeon X6550 - 504 GB | ||
December 27, 2015 | December 24, 2015 | Ethan Gallagher | Sqrt(11) | 50,000,000,000 | Intel Core i5 4300U 8 GB |
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December 24, 2015 | Ethan Gallagher | Sqrt(7) | 50,000,000,000 | Intel Core i5 4300U 8 GB |
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December 24, 2015 | Ethan Gallagher | Sqrt(5) | 50,000,000,000 | Intel Core i5 4300U 8 GB |
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December 23, 2015 | Ethan Gallagher | Sqrt(3) | 50,000,000,000 | Intel Core i5 4300U 8 GB |
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June 4, 2016 | October 23, 2016 | Timothy J Flynn | ArcCoth(2) | 2,000,000,000 | 2 x Intel Xeon X5460 8 GB |
||
March 29, 2015 | March 28, 2015 | Ben Hadad | Lemniscate | 30,000,000,000 | Intel Core i7 4790K 8 GB DDR3 |
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March 29, 2015 | March 18, 2014 | David Hickox | Log(3) | 200,000,000,000 | Intel Core i7 4770K 16 GB DDR3 |