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A2 / B3
UTC time 2020-07-10 00:35:10 Powered by BOINC
4 824 336 20 CPU   321 Prime Search (LLR) 1001/1000 User Count 350 740
5 517 137 17 CPU   Cullen Prime Search (LLR) 751/1000 Host Count 599 029
4 442 254 21 CPU   Extended Sierpinski Problem (LLR) 750/3398 Hosts Per User 1.71
1 841 584 107 CPU   Fermat Divisor Search (LLR) 1498/1654K Tasks in Progress 84 937
4 182 924 23 CPU   Generalized Cullen/Woodall Prime Search (LLR) 752/1000 Primes Discovered 82 026
6 823 384 13 CPU   Prime Sierpinski Problem (LLR) 401/1742 Primes Reported4 at T5K 29 521
865 743 947 CPU   Proth Prime Search (LLR) 1499/313K Mega Primes Discovered 508
476 290 3917 CPU   Proth Prime Search Extended (LLR) 3997/993K TeraFLOPS 1 965.783
1 004 208 620 CPU   Proth Mega Prime Search (LLR) 3995/257K
PrimeGrid's 2020 Challenge Series
Katherine Johnson Memorial
Challenge

Jul 24 20:00:00 to Jul 31 19:59:59 (UTC)


Time until Katherine Johnson Memorial challenge:
Days
Hours
Min
Sec
Standings
Alan Turing's Birthday Challenge (PPS-Sieve): Individuals | Teams
9 959 755 8 CPU   Seventeen or Bust (LLR) 400/10K
2 204 491 71 CPU   Sierpinski / Riesel Base 5 Problem (LLR) 1499/93K
388 342 5K+ CPU   Sophie Germain Prime Search (LLR) 7479/621K
3 078 510 49 CPU   The Riesel Problem (LLR) 1001/2000
5 653 021 17 CPU   Woodall Prime Search (LLR) 751/1000
  CPU   321 Prime Search (Sieve) 7489/
  CPU GPU Proth Prime Search (Sieve) 2474/
270 672 5K+   GPU Generalized Fermat Prime Search (n=15) 985/212K
522 632 2681   GPU Generalized Fermat Prime Search (n=16) 1499/224K
958 309 772 CPU GPU Generalized Fermat Prime Search (n=17 low) 2000/68K
1 032 852 417   GPU Generalized Fermat Prime Search (n=17 mega) 1001/83K
1 843 898 105 CPU GPU Generalized Fermat Prime Search (n=18) 1000/28K
3 444 866 36 CPU GPU Generalized Fermat Prime Search (n=19) 1000/11K
6 454 437 13 CPU GPU Generalized Fermat Prime Search (n=20) 1001/2858
12 117 550 7 CPU GPU Generalized Fermat Prime Search (n=21) 401/18K
21 985 433 4 CPU GPU Generalized Fermat Prime Search (n=22) 201/4983
24 987 860 > 1 <   GPU Do You Feel Lucky? 202/517
  CPU GPU AP27 Search 1158/

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.
2First "Available Tasks" number (A) is the number of tasks immediately available to send.
3Second "Available Tasks" number (B) is additional prime candidates that have not yet been turned into workunits. Underlined work is loaded manually. If the first number (A) is 0, something is broken. If both numbers are 0, we've run out of work. Two tasks (A) are generated automatically from each prime candidate (B) when needed, so the total number of tasks available without manual intervention is A+2*B. 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.
4Includes all primes ever reported by PrimeGrid to Top 5000 Primes list. Many of these are no longer in the top 5000.

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 29 May 2020, 07:52:25 UTC, PrimeGrid's Generalized Fermat Prime Search found the Mega Prime:
3638450524288+1
The prime is 3,439,810 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 3rd for Generalized Fermat primes and 35th overall.

The discovery was made by Wolfgang Schwieger (DeleteNull) of Germany using a GeForce RTX 2070 in an AMD Ryzen 7 3700X 8-Core Processor with 16GB RAM, running Linux openSUSE. This GPU took about 31 minutes to complete the probable prime (PRP) test using GeneferOCL5. Wolfgang Schwieger is a member of the SETI.Germany team.

The PRP was verified on 29 May 2020, 08:23:51 UTC by Greg Miller (Olgar) of the United States using an AMD Ryzen Threadripper 2990WX 32-Core Processor with 128GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 hour, 3 minutes to complete the probable prime (PRP) test using GeneferOCL5. Greg Miller is a member of the USA team.

The PRP was confirmed prime by an Intel(R) Xeon(R) CPU E3-1240 v6 @ 3.70GHz with 4GB RAM, running Linux Debian. This computer took about 1 day, 19 hours, 22 minutes to complete the primality test using LLR.

For more information, please see the Official Announcement.


On 1 May 2020, 04:01:08 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Problem project eliminated k=118568 by finding the mega prime:
118568·53112069+1
The prime is 2,175,248 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 70th overall and is the largest known base 5 prime. 30 k's now remain in the Sierpinski Base 5 problem.

The discovery was made by Honza Cholt (Honza) of the Czech Republic using an Intel(R) Core(TM) i7-9700K CPU @ 3.60GHz with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 49 minutes to complete the primality test using LLR. Honza Cholt is a member of Czech National Team.

The prime was verified on 2 May 2020, 09:00:41 UTC by Tom Murphy VII (brighterorange) of the United States using a gfx1010 in an AMD FX-8370 Eight-Core Processor with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 day, 1 hour, 55 minutes to complete the primality test using LLR.

For more information, please see the Official Announcement.


On 16 March 2020, 08:21:46 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Problem project eliminated k=207494 by finding the mega prime:
207494·53017502-1
The prime is 2,109,149 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 75th overall and is the largest known base 5 prime. 63 k's now remain in the Riesel Base 5 problem.

The discovery was made by Todd Pickering (EXT64) of the United States using an AMD EPYC 7601 32-Core Processor with 126GB RAM, running Linux Ubuntu. This computer took about 1 day, 17 hours, 59 minutes to complete the primality test using LLR. Todd Pickering is a member of [H]ard|OCP.

The prime was verified internally using an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 32GB RAM, running Linux Debian.

For more information, please see the Official Announcement.


Other significant primes


3·211895718-1 (321): official announcement | 321
3·211731850-1 (321): official announcement | 321
3·211484018-1 (321): official announcement | 321
3·210829346+1 (321): official announcement | 321
3·27033641+1 (321): official announcement | 321

27·27046834+1 (27121): official announcement | 27121
27·25213635+1 (27121): official announcement | 27121
27·24583717-1 (27121): official announcement | 27121
27·24542344-1 (27121): official announcement | 27121
121·24553899-1 (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

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

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
9·22543551+1 (PPS): official announcement | Fermat Divisor

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
682156·79682156+1 (GC): official announcement | Generalized Cullen

3638450524288+1 (GFN): official announcement | Generalized Fermat Prime
10590941048576+1 (GFN): official announcement | Generalized Fermat Prime
9194441048576+1 (GFN): official announcement | Generalized Fermat Prime
3214654524288+1 (GFN): official announcement | Generalized Fermat Prime
2985036524288+1 (GFN): official announcement | Generalized Fermat Prime

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

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

1155·23455254+1 (PPS-Mega): official announcement | Mega Prime
1065·23447906+1 (PPS-Mega): official announcement | Mega Prime
1155·23446253+1 (PPS-Mega): official announcement | Mega Prime
943·23442990+1 (PPS-Mega): official announcement | Mega Prime
943·23440196+1 (PPS-Mega): official announcement | Mega 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 | SGS
18543637900515·2666667-1 (SGS), 18543637900515·2666668-1 (2p+1): official announcement | SGS
3756801695685·2666669±1 (SGS): official announcement | Twin
65516468355·2333333±1 (TPS): official announcement | Twin

118568·53112069+1 (SR5): official announcement | k=118568 eliminated
207494·53017502-1 (SR5): official announcement | k=207494 eliminated
238694·52979422-1 (SR5): official announcement | k=238694 eliminated
146264·52953282-1 (SR5): official announcement | k=146264 eliminated
35816·52945294-1 (SR5): official announcement | k=35816 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
40597·26808509-1 (TRP): official announcement | k=40597 eliminated
304207·26643565-1 (TRP): official announcement | k=304207 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

Alan Turing's Birthday Challenge starts June 23rd
In honor of the 108th birthday of Alan Turing, English mathematician, computer scientist, logician, and more, PrimeGrid will be running a 3-day PPS-Sieve challenge from 23 June 22:00 UTC to 26 June 22:00 UTC!

The challenge subproject is available for both CPU and GPU.

Discuss in the forum post for the challenge: https://www.primegrid.com/forum_thread.php?id=9178
21 Jun 2020 | 22:17:10 UTC · Comment


GFN-524288 Find!
On 29 May 2020, 07:52:25 UTC, PrimeGrid's Generalized Fermat Prime Search found the Mega Prime:

3638450^524288+1

The prime is 3,439,810 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 3rd for Generalized Fermat primes and 35th overall.

The discovery was made by Wolfgang Schwieger (DeleteNull)of Germany using a GeForce RTX 2070 in an AMD Ryzen 7 3700X 8-Core Processor with 16GB RAM, running Linux openSUSE . This GPU took about 31 minutes to complete the probable prime (PRP) test using GeneferOCL5. Wolfgang Schwieger is a member of the SETI.Germany Team.

The PRP was verified on 29 May 2020, 08:23:51 UTC by Greg Miller (Olgar) of the United States using a gfx1010 in an AMD FX-8370 Eight-Core Processor with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 hour, 3 minutes to complete the probable prime (PRP) test using GeneferOCL5. Greg Miller is a member of the USA Team.

The PRP was confirmed prime by an Intel(R) Xeon(R) CPU E3-1240 v6 @ 3.70GHz with 4GB RAM, running Linux Debian . This computer took about 1 day, 19 hours, 22 minutes to complete the primality test using LLR.

For more details, please see the official announcement.
21 Jun 2020 | 16:12:45 UTC · Comment


SR5 Mega Prime!
On 1 May 2020, 04:01:08 UTC, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=118568 by finding the mega prime:

118568*5^3112069+1

The prime is 2,175,248 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 70th overall and is the largest known base 5 prime. 30 k’s now remain in the Sierpinski Base 5 problem.

The discovery was made by Honza Cholt (Honza) of the Czech Republic using an Intel(R) Core(TM) i7-9700K CPU @ 3.60GHz with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 49 minutes to complete the primality test using LLR. Honza Cholt is a member of Czech National Team.

The prime was verified on 2 May 2020, 09:00:41 UTC by Tom Murphy VII (brighterorange) of the United States using an AMD Ryzen Threadripper 2990WX 32-Core Processor with 128GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 day, 1 hour, 55 minutes to complete the primality test using LLR.

For more details, please see the official announcement.
10 May 2020 | 20:10:18 UTC · Comment


And Another SR5 Mega Prime!
On 16 March 2020, 08:21:46, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=207494 by finding the mega prime:

207494*5^3017502-1

The prime is 2,109,149 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 75th overall and is the largest known base 5 prime. 63 k’s now remain in the Riesel Base 5 problem.

The discovery was made by Todd Pickering (EXT64) of the United States using an AMD EPYC 7601 32-Core Processor with 126GB RAM, running Linux Ubuntu. This computer took about 1 day, 17 hours, 59 minutes to complete the primality test using LLR. Todd Pickering is a member of the [H]ard|OCP team.

The prime was verified internally using an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 32GB RAM, running Linux Debian.

For more details, please see the official announcement.
31 Mar 2020 | 14:55:09 UTC · Comment


Another SR5 Mega Prime!
On 12 March 2020, 19:16:51 UTC, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=238694 by finding the mega prime:

238694*5^2979422-1

The prime is 2,082,532 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 76th overall and is the largest known base 5 prime. 64 k’s now remain in the Riesel Base 5 problem.

The discovery was made by Chris Howell (Khali) of the United States using an Intel(R) Core(TM) i9-9900K CPU @ 3.60GHz with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 5 hours, 56 minutes to complete the primality test using LLR. Chris Howell is a member of the Crunching@EVGA team.

The prime was verified on 13 March 2020, 21:25:52 UTC by Yuki Yoshigoe (SAKAGE@AMD@jisaku) of Japan using an AMD Ryzen Threadripper 3970X 32-Core Processor with 128GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 day, 5 hours, 24 minutes to complete the primality test using LLR. Yuki Yoshigoe is a member of the Team 2ch team.

For more details, please see the official announcement.

31 Mar 2020 | 14:49:08 UTC · Comment


... more

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Newly reported primes

(Mega-primes are in bold.)

5923*2^1582122+1 (recursive); 181966256^32768+1 (jshriver); 5456745832725*2^1290000-1 (GregCinAZ); 5455588069785*2^1290000-1 (Sellyme); 5453283096705*2^1290000-1 (Beamington); 5454173592285*2^1290000-1 (Rafael); 181735254^32768+1 (Lycidas); 5455019262717*2^1290000-1 (Viktor Svantner); 94238958^65536+1 (serge); 10793312^262144+1 (Penguin); 181666260^32768+1 (dthonon); 5451436426065*2^1290000-1 (tng); 7637*2^1581163+1 (Harty); 181516468^32768+1 (Dirk Sellsted); 181469422^32768+1 (jshriver); 2597*2^1581923+1 (urbanknight); 5889*2^1581821+1 (Ragadorf); 181398836^32768+1 (Rick Reynolds); 5449516387047*2^1290000-1 (adrian); 181370268^32768+1 (Johny)

Top Crunchers:

Top participants by RAC

Miklos M.18858463.34
Ryan Dark12145390.08
tng9501155.23
davidBAM8768267.54
Scott Brown8402127.28
Grzegorz Roman Granowski8121863.98
robish5652000.28
Science United5350372.2
Homefarm4738669.67
KajakDC4664991.47

Top teams by RAC

Aggie The Pew22404431.22
The Scottish Boinc Team20148825.14
SETI.Germany19910927.89
Antarctic Crunchers19838330.06
Czech National Team18999200.47
HUNGARY - HAJRA MAGYARORSZAG! HAJRA MAGYAROK!18874753
UK BOINC Team15104343.92
GoEngineer Inc.12145009.62
Storm9207604.87
GPU Users Group7998121.09
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