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    A2 / B3,4,5
UTC time 2022-08-11 12:43:48 Powered by BOINC
5 911 225 18 CPU F MT   321 Prime Search (LLR) 1000/991 User Count 353 226
6 836 921 13 CPU F MT   Cullen Prime Search (LLR) 5765/1000 Host Count 703 358
6 777 599 13 CPU F MT   Extended Sierpinski Problem (LLR) 754/8517 Hosts Per User 1.99
5 553 661 22 CPU F MT   Generalized Cullen/Woodall Prime Search (LLR) 764/1000 Tasks in Progress 238 238
8 313 295 11 CPU F MT   Prime Sierpinski Problem (LLR) 406/818 Primes Discovered 87 263
1 122 003 441 CPU F MT   Proth Prime Search (LLR) 1771/227K Primes Reported6 at T5K 31 921
513 655 5K+ CPU F MT   Proth Prime Search Extended (LLR) 4015/462K Mega Primes Discovered 1 124
1 032 592 802 CPU F MT   Proth Mega Prime Search (LLR) 3998/96K TeraFLOPS 3 380.749
11 475 407 7 CPU F MT   Seventeen or Bust (LLR) 403/9672
PrimeGrid's 2022 Challenge Series
Pi Approximation Day Challenge
Jul 22 22:00:00 to Jul 25 21:59:59 (UTC)


Time until Riemann's Birthday challenge:
Days
Hours
Min
Sec
Standings
Pi Approximation Day Challenge (PPS-LLR): Individuals | Teams
2 829 033 100 CPU F MT   Sierpinski / Riesel Base 5 Problem (LLR) 1524/91K
388 342 5K+ CPU MT   Sophie Germain Prime Search (LLR) 7478/896K
3 863 020 52 CPU F MT   The Riesel Problem (LLR) 999/2000
6 587 986 13 CPU F MT   Woodall Prime Search (LLR) 765/1000
  CPU GPU Proth Prime Search (Sieve) 2472/
277 933 5K+   GPU Generalized Fermat Prime Search (n=15) 975/125K
539 133 3900 CPU MT GPU Generalized Fermat Prime Search (n=16) 1494/343K
1 055 947 567 CPU MT GPU Generalized Fermat Prime Search (n=17 mega) 995/154K
1 887 806 209 CPU MT GPU Generalized Fermat Prime Search (n=18) 1001/14K
3 530 028 59 CPU MT GPU Generalized Fermat Prime Search (n=19) 1001/44K
6 596 115 13 CPU MT GPU Generalized Fermat Prime Search (n=20) 1002/7682
12 399 386 7 CPU GPU Generalized Fermat Prime Search (n=21) 400/15K
22 513 558 3   GPU Generalized Fermat Prime Search (n=22) 200/13K
25 120 327 > 1 <   GPU Do You Feel Lucky? 202/878
  CPU MT GPU AP27 Search 1124/
  CPU MT GPU Wieferich and Wall-Sun-Sun Prime Search 993/

1 "Prime Rank" is where the leading edge candidate, if prime, would appear in the Top 5000 Primes list. "5K+" means the primes are too small to make the list.
2 First "Available Tasks" number (A) is the number of tasks immediately available to send.
3 Second "Available Tasks" number (B) is additional candidates that have not yet been turned into workunits. If the first number (A) is 0, something is broken. If both numbers are 0, we've run out of work.
4 Underlined work is loaded manually. If the B number is not underlined, new candidates (B) are also automatically created from sieve files, which typically contain millions of candidates. If B is infinite (∞), there's essentially an unlimited amount of work available.
5 One or two tasks (A) are generated automatically from each candidate (B) when needed, so the total number of tasks available without manual intervention is either A+B or A+2*B. Normally two tasks are created for each candidate, however only 1 task is created if fast proof tasks are used, as designated by an "F" next to "CPU" or "GPU".
6 Includes all primes ever reported by PrimeGrid to Top 5000 Primes list. Many of these are no longer in the top 5000.
F Uses fast proof tasks so no double check is necessary. Everyone is "first".
MT Multithreading via web-based preferences is available.

About

PrimeGrid's primary goal is to advance mathematics by enabling everyday computer users to contribute their system's processing power towards prime finding. By simply downloading and installing BOINC and attaching to the PrimeGrid project, participants can choose from a variety of prime forms to search. With a little patience, you may find a large or even record breaking prime and enter into Chris Caldwell's The Largest Known Primes Database with a multi-million digit prime!

PrimeGrid's secondary goal is to provide relevant educational materials about primes. Additionally, we wish to contribute to the field of mathematics.

Lastly, primes play a central role in the cryptographic systems which are used for computer security. Through the study of prime numbers it can be shown how much processing is required to crack an encryption code and thus to determine whether current security schemes are sufficiently secure.

PrimeGrid is currently running several sub-projects:
  • 321 Prime Search: searching for mega primes of the form 3·2n±1.
  • Cullen-Woodall Search: searching for mega primes of forms n·2n+1 and n·2n−1.
  • Generalized Cullen-Woodall Search: searching for mega primes of forms n·bn+1 and n·bn−1 where n + 2 > b.
  • Extended Sierpinski Problem: helping solve the Extended Sierpinski Problem.
  • Generalized Fermat Prime Search: searching for megaprimes of the form b2n+1.
  • Prime Sierpinski Project: helping the Prime Sierpinski Project solve the Prime Sierpinski Problem.
  • Proth Prime Search: searching for primes of the form k·2n+1.
  • Fermat Divisor Search: a subset of the Proth Prime Search specificically searching for divisors of Fermat numbers.
  • Seventeen or Bust: helping to solve the Sierpinski Problem.
  • Sierpinski/Riesel Base 5: helping to solve the Sierpinski/Riesel Base 5 Problem.
  • Sophie Germain Prime Search: searching for primes p and 2p+1.
  • The Riesel problem: helping to solve the Riesel Problem.
  • AP27 Search: searching for record length arithmetic progressions of primes.
   You can choose the projects you would like to run by going to the project preferences page.

Recent Significant Primes


On 19 June 2022, 04:26:15 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Prime Search found the Mega Prime
63838·53887851-1
The prime is 2,717,497 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 99th overall. 58 k's now remain in the Riesel Base 5 Problem.

The discovery was made by Scott Lee (freestman) of China using an AMD Ryzen 5 2600X Six-Core Processor with 32GB RAM, running Microsoft Windows 11 Professional x64 Edition. This computer took about 4 hours, 34 minutes to complete the PRP test using LLR2. Scott is a member of the Chinese Dream team.

The prime was verified on 19 June 2022, 22:29 UTC, by an Intel(R) Core(TM) i3-9100F CPU @ 3.60GHz with 16GB RAM, running Linux. This computer took about 11 hours and 57 minutes to complete the primality test using LLR2.

For more information, please see the Official Announcement.


On 15 May 2022, 17:29:48 UTC, PrimeGrid's Generalized Fermat Prime Search the Mega Prime
4896418524288+1
The prime is 3,507,424 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 3rd for Generalized Fermat primes and 97th overall.

The discovery was made by Tom Greer (tng) of the United States using an GeForce RTX 3060 in an Intel(R) Core(TM) i7-6700 CPU @ 3.40GHz with 24GB RAM, running Microsoft Windows 10 Core x64 Edition. This GPU took about 1 hour, 1 minute to complete the probable prime (PRP) test using GeneferOCL2. Tom Greer is a member of Antarctic Crunchers.

The prime was verified on 16 May 2022, 19:12:23 UTC, by Albert Pastuszka (User B@P) of Poland using a GeForce GTX 750 in an AMD Athlon(tm) II X3 445 Processor with 6GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 6 hours, 46 minutes to complete the probable prime (PRP) test using GeneferOCL2. Albert Pastuszka is a member of BOINC@Poland.

The PRP was confirmed prime by an AMD Ryzen 5 3600 6-Core Processor with 4GB RAM, running Linux Ubuntu. This computer took about 22 hours, 17 minutes to complete the primality test using LLR.

For more information, please see the Official Announcement.


On 24 March 2022, 17:27:33 UTC, PrimeGrid's 321 Prime Search found the Mega Prime
3·218924988-1
The prime is 5,696,990 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 18th overall.

The discovery was made by Frank Matillek (boss) of Germany using an Intel CPU with 1GB RAM, running Ubuntu Linux. This computer took about 1 day, 1 hour, 39 minutes to complete the primality test using LLR2. Frank Matillek is a member of the SETI.Germany team.

For more information, please see the Official Announcement.


Other significant primes


3·218924988-1 (321): official announcement | 321
3·218196595-1 (321): official announcement | 321
3·217748034-1 (321): official announcement | 321
3·216819291-1 (321): official announcement | 321
3·216408818+1 (321): official announcement | 321

27·28342438-1 (27121): official announcement | 27121
121·29584444+1 (27121): official announcement | 27121
27·27046834+1 (27121): official announcement | 27121
27·25213635+1 (27121): official announcement | 27121
27·24583717-1 (27121): official announcement | 27121

224584605939537911+81292139*23#*n for n=0..26 (AP27): official announcement
48277590120607451+37835074*23#*n for n=0..25 (AP26): official announcement
142099325379199423+16549135*23#*n for n=0..25 (AP26): official announcement
149836681069944461+7725290*23#*n for n=0..25 (AP26): official announcement
43142746595714191+23681770*23#*n for n=0..25 (AP26): official announcement

6679881·26679881+1 (CUL): official announcement | Cullen
6328548·26328548+1 (CUL): official announcement | Cullen

202705·221320516+1 (ESP): official announcement | k=202705 eliminated
99739·214019102+1 (ESP): official announcement | k=99739 eliminated
193997·211452891+1 (ESP): official announcement | k=193997 eliminated
161041·27107964+1 (ESP): official announcement | k=161041 eliminated

147855!-1 (FPS): official announcement | Factorial
110059!+1 (FPS): official announcement | Factorial
103040!-1 (FPS): official announcement | Factorial
94550!-1 (FPS): official announcement | Factorial

27·27963247+1 (PPS-DIV): official announcement | Fermat Divisor
13·25523860+1 (PPS-DIV): official announcement | Fermat Divisor
193·23329782+1 (PPS-Mega): official announcement | Fermat Divisor
57·22747499+1 (PPS): official announcement | Fermat Divisor
267·22662090+1 (PPS): official announcement | Fermat Divisor

2525532·732525532+1 (GC): official announcement | Generalized Cullen
2805222·252805222+1 (GC): official announcement | Generalized Cullen
1806676·411806676+1 (GC): official announcement | Generalized Cullen
1323365·1161323365+1 (GC): official announcement | Generalized Cullen
1341174·531341174+1 (GC): official announcement | Generalized Cullen

4896418524288+1 (GFN): official announcement | Generalized Fermat Prime
10590941048576+1 (GFN): official announcement | Generalized Fermat Prime
9194441048576+1 (GFN): official announcement | Generalized Fermat Prime
3638450524288+1 (GFN): official announcement | Generalized Fermat Prime
3214654524288+1 (GFN): official announcement | Generalized Fermat Prime

563528·13563528-1 (GW): official announcement | Generalized Woodall
404882·43404882-1 (GW): official announcement | Generalized Woodall

3267113#-1 (PRS): official announcement | Primorial
1098133#-1 (PRS): official announcement | Primorial
843301#-1 (PRS): official announcement | Primorial

25·28788628+1 (PPS-DIV): official announcement | Top 100 Prime
17·28636199+1 (PPS-DIV): official announcement | Top 100 Prime
25·28456828+1 (PPS-DIV): official announcement | Top 100 Prime
39·28413422+1 (PPS-DIV): official announcement | Top 100 Prime
31·28348000+1 (PPS-DIV): official announcement | Top 100 Prime

168451·219375200+1 (PSP): official announcement | k=168451 eliminated

10223·231172165+1 (SoB): official announcement | k=10223 eliminated

2996863034895·21290000±1 (SGS): official announcement | Twin
2618163402417·21290000-1 (SGS), 2618163402417·21290001-1 (2p+1): official announcement | Sophie Germain
18543637900515·2666667-1 (SGS), 18543637900515·2666668-1 (2p+1): official announcement | Sophie Germain
3756801695685·2666669±1 (SGS): official announcement | Twin
65516468355·2333333±1 (TPS): official announcement | Twin

63838·53887851/sup>-1 (SR5): official announcement | k=63838 eliminated
273662·53493296-1 (SR5): official announcement | k=273662 eliminated
102818·53440382-1 (SR5): official announcement | k=102818 eliminated
109838·53168862-1 (SR5): official announcement | k=109838 eliminated
118568·53112069+1 (SR5): official announcement | k=118568 eliminated

9221·211392194-1 (TRP): official announcement | k=9221 eliminated
146561·211280802-1 (TRP): official announcement | k=146561 eliminated
273809·28932416-1 (TRP): official announcement | k=273809 eliminated
502573·27181987-1 (TRP): official announcement | k=502573 eliminated
402539·27173024-1 (TRP): official announcement | k=402539 eliminated

17016602·217016602-1 (WOO): official announcement | Woodall
3752948·23752948-1 (WOO): official announcement | Woodall
2367906·22367906-1 (WOO): official announcement | Woodall
2013992·22013992-1 (WOO): official announcement | Woodall

News RSS feed

SR5 Mega Prime Find!
On 19 June 2022, 04:26:15 UTC, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=63838 by finding the mega prime:

63838*5^3887851-1

The prime is 2,717,497 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 99th overall. 58 k’s now remain in the Riesel Base 5 problem.

The discovery was made by Scott Lee (freestman) of China using an AMD Ryzen 5 2600X Six-Core Processor with 32GB RAM, running Microsoft Windows 11 Professional x64 Edition. This computer took about 4 hours, 34 minutes to complete the prp test using LLR2. Scott is a member of the team, Chinese Dream.

The prime was verified on 19 June 2022, 22:29 UTC, by an Intel(R) Core(TM) i3-9100F CPU @ 3.60GHz with 16GB RAM, running Linux. This computer took about 11 hours and 57 minutes to complete the primality test using LLR2.

For more details, please see the official announcement.
18 Jul 2022 | 19:26:44 UTC · Comment


Pi Approximation Day Challenge starts July 22
The fifth challenge of the 2022 Series will be a 3-day challenge celebrating the day that our arbitrary measurement units for the Earth's rotation align to numerically resemble the fraction 22/7, which approximates the value of the infamous circle constant 'pi' with an error of 400ppm! Honestly, I'm not sure why March 14th gets all the love -- 3.14 is a much worse approximation for pi!

The challenge will be offered on the PPS-LLR application, beginning 22 July 22:00 UTC and ending 25 July 22:00 UTC. To participate in the Challenge, please select only the Proth Prime Search LLR (PPS) project in your PrimeGrid preferences section.

For more info, questions, and lively debate about the best approximation for pi (it's 3 😁), check out the forum thread for this challenge: https://www.primegrid.com/forum_thread.php?id=9959&nowrap=true#156359

Happy 22/7!
17 Jul 2022 | 16:03:10 UTC · Comment


M.C. Escher's Birthday Challenge starts June 17th
The fourth challenge of the 2022 Series will be a 5-day challenge marking the 124th birthday of Maurits Cornelis Escher, one of the world’s most famous graphic artists. His art is admired by millions of people worldwide, as can be seen by the many websites on the internet. The challenge will be offered on the SR5-LLR application, beginning 17 June 13:00 UTC and ending 22 June 13:00 UTC.

To participate in the Challenge, please select only the Sierpinski/Riesel Base 5 Prime Search LLR (SR5) project in your PrimeGrid preferences section.

Comments? Concerns? Conundrums? Check out the forum thread for this challenge: http://www.primegrid.com/forum_thread.php?id=9941&nowrap=true#155914

Happy crunching!
14 Jun 2022 | 2:39:31 UTC · Comment


Geek Pride Day Challenge starts May 25
The third challenge of the 2022 Series will be a 5-day challenge celebrating geeks, freaks, nerds, dorks, dweebs, and "weird" people of all kinds! The challenge will be offered on the GFN-19 subproject, beginning 25 May 18:00 UTC and ending 30 May 18:00 UTC.

To participate in the Challenge, please select only the GFN-19 subproject in your PrimeGrid preferences section.

For more info and discussion, check out the forum thread for this challenge: https://www.primegrid.com/forum_thread.php?id=9915&nowrap=true#155479
23 May 2022 | 22:18:31 UTC · Comment


GFN 19 Found!
On 15 May 2022, 17:29:48 UTC, PrimeGrid's Generalized Fermat Prime Search found the Mega Prime:

4896418^524288+1

The prime is 3,507,424 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 3rd for Generalized Fermat primes and 54th overall.

The discovery was made by Tom Greer (tng) of the United States using a GeForce RTX 3060 in an Intel(R) Core(TM) i7-6700 CPU @ 3.40GHz with 24GB RAM, running Microsoft Windows 10 Core x64 Edition. This GPU took about 1 hour, 1 minute to complete the probable prime (PRP) test using GeneferOCL2. Tom Greer is a member of Antarctic Crunchers.

The prime was verified on 16 May 2022, 19:12:23 UTC by Albert Pastuszka (User B@P) of Poland using a GeForce GTX 750 in an AMD Athlon(tm) II X3 445 Processor with 6GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 6 hours, 46 minutes to complete the probable prime (PRP) test using GeneferOCL2. Albert Pastuszka is a member of BOINC@Poland.

The PRP was confirmed prime by an AMD Ryzen 5 3600 6-Core Processor with 4GB RAM, running Linux Ubuntu. This computer took about 22 hours, 17 minutes to complete the primality test using LLR.

For more details, please see the official announcement.
22 May 2022 | 23:50:20 UTC · Comment


... more

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Newly reported primes

(Mega-primes are in bold.)

303234800^32768+1 ([SG]_Carsten); 3383*2^1706281+1 (Ryan Propper); 168392570^65536+1 (vaughan); 9087*2^1706240+1 (WezH); 303105196^32768+1 (Henk Haneveld); 303095570^32768+1 (Azmodes); 7223458656297*2^1290000-1 (Adrian Schori); 303030240^32768+1 (Johny); 105*2^3720512+1 (James); 367*2^3712952+1 (Honza); 6873*2^3429937+1 (w a h); 168272988^65536+1 (vaughan); 7220121685287*2^1290000-1 (288larsson); 7218803592315*2^1290000-1 (288larsson); 7220569834725*2^1290000-1 (MathIsFun_); 302894486^32768+1 (Azmodes); 302876234^32768+1 (Azmodes); 447*2^3719024+1 (James); 123*2^3716758+1 (akeda); 8067*2^3429891+1 (Dave Pickles)

Top Crunchers:

Top participants by RAC

Syracuse University109011417.72
Science United65205332.61
Tuna Ertemalp37632869.39
valterc31289270.43
Nick25010348.05
tng21386904.56
Scott Brown15046409.4
vanos051214969928.79
Freezing12995744.45
Miklos M.10126448.11

Top teams by RAC

Antarctic Crunchers51193377.6
Microsoft37653460.66
BOINC@AUSTRALIA35059245.84
BOINC.Italy31818905.47
Aggie The Pew24524038.01
SETI.Germany22163307.77
The Scottish Boinc Team21766842.92
SETI.USA16671934.04
BOINC@Taiwan16535679.66
Czech National Team13420448.21
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