PrimeGrid
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Digits
Prime
Rank1

App Types

Sub-Project
Available Tasks
A2 / B3
UTC time 2020-08-09 00:07:14 Powered by BOINC
4 839 683 20 CPU   321 Prime Search (LLR) 1000/1000 User Count 350 890
5 532 793 17 CPU   Cullen Prime Search (LLR) 751/1000 Host Count 601 803
4 465 069 22 CPU   Extended Sierpinski Problem (LLR) 750/1398 Hosts Per User 1.72
1 853 002 106 CPU   Fermat Divisor Search (LLR) 1500/1632K Tasks in Progress 83 372
4 204 821 24 CPU   Generalized Cullen/Woodall Prime Search (LLR) 750/1000 Primes Discovered 82 135
6 844 932 13 CPU   Prime Sierpinski Problem (LLR) 401/720 Primes Reported4 at T5K 29 544
867 157 961 CPU   Proth Prime Search (LLR) 1496/251K Mega Primes Discovered 516
476 685 3945 CPU   Proth Prime Search Extended (LLR) 3998/825K TeraFLOPS 1 758.506
1 004 491 628 CPU   Proth Mega Prime Search (LLR) 3990/141K
PrimeGrid's 2020 Challenge Series
Katherine Johnson Memorial
Challenge

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


Time until International Bacon Day challenge:
Days
Hours
Min
Sec
Standings
Katherine Johnson Memorial Challenge (TRP-LLR): Individuals | Teams
9 989 223 8 CPU   Seventeen or Bust (LLR) 401/9063
2 213 579 72 CPU   Sierpinski / Riesel Base 5 Problem (LLR) 1499/85K
388 342 5K+ CPU   Sophie Germain Prime Search (LLR) 7484/690K
3 244 004 49 CPU   The Riesel Problem (LLR) 1000/2000
5 667 473 17 CPU   Woodall Prime Search (LLR) 750/1000
  CPU   321 Prime Search (Sieve) 7472/
  CPU GPU Proth Prime Search (Sieve) 2475/
271 139 5K+   GPU Generalized Fermat Prime Search (n=15) 946/208K
522 914 2710   GPU Generalized Fermat Prime Search (n=16) 1491/96K
958 933 787 CPU GPU Generalized Fermat Prime Search (n=17 low) 2001/38K
1 033 474 422   GPU Generalized Fermat Prime Search (n=17 mega) 997/39K
1 844 993 106 CPU GPU Generalized Fermat Prime Search (n=18) 1001/12K
3 449 549 36 CPU GPU Generalized Fermat Prime Search (n=19) 1001/15K
6 461 312 13 CPU GPU Generalized Fermat Prime Search (n=20) 1000/7758
12 128 388 7 CPU GPU Generalized Fermat Prime Search (n=21) 400/17K
22 002 724 4 CPU GPU Generalized Fermat Prime Search (n=22) 206/4645
24 995 188 > 1 <   GPU Do You Feel Lucky? 201/833
  CPU GPU AP27 Search 1395/

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

Katherine Johnson Memorial Challenge starts July 24th
In honor of the life of Katherine Johnson, PrimeGrid will be running a 7-day TRP-LLR challenge from 24 July 20:00 UTC to 31 July 20:00 UTC. Will we end this subproject's 3-year prime drought?

Also make sure to read Hidden Figures, a book about Katherine Johnson and some of her contemporaries, for the book club meeting!

Doubts? Disputes? Dubieties? Discuss in the forum thread for the challenge: https://www.primegrid.com/forum_thread.php?id=9217
21 Jul 2020 | 3:27:07 UTC · Comment


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


... more

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Newly reported primes

(Mega-primes are in bold.)

188074644^32768+1 (tng); 187993282^32768+1 (tng); 187922612^32768+1 (tng); 8397*2^3336654+1 (Nita); 187905136^32768+1 (Penguin); 5512309897395*2^1290000-1 (jshriver); 5512230577485*2^1290000-1 (tng); 187539432^32768+1 (Penguin); 187464822^32768+1 (Penguin); 187332718^32768+1 (Penguin); 5509927172115*2^1290000-1 (vaclav_m); 5507274263487*2^1290000-1 (vaughan); 186904122^32768+1 (Penguin); 186866120^32768+1 (Penguin); 933*2^2879973+1 (Penguin); 5506505800677*2^1290000-1 (vaughan); 186653202^32768+1 (Kellen); 5505634021347*2^1290000-1 (MiHost); 186507466^32768+1 (Kellen); 5504035919937*2^1290000-1 (vaughan)

Top Crunchers:

Top participants by RAC

Miklos M.17895231.47
Ryan Dark11781551.83
tng11480182.08
Homefarm10935717.03
Grzegorz Roman Granowski9926883.93
Science United9442757.44
Scott Brown8160560.75
davidBAM7938639.05
DeleteNull5314184.3
vaughan5007209.14

Top teams by RAC

The Scottish Boinc Team23376070.18
Antarctic Crunchers21519819.67
Aggie The Pew20465298.19
HUNGARY - HAJRA MAGYARORSZAG! HAJRA MAGYAROK!17907268.62
UK BOINC Team14587309.18
SETI.Germany14581288.37
GoEngineer Inc.11781233.69
Czech National Team11129972.14
Storm10430866.96
Team 2ch7980642.52
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