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Prime
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Available Tasks
    A2 / B3,4,5
UTC time 2022-11-30 11:55:57 Powered by BOINC
5 970 750 20 CPU MT F   321 Prime Search (LLR) 1002/1000 User Count 353 498
7 081 429 13 CPU MT F   Cullen Prime Search (LLR) 1847/1000 Host Count 711 668
6 886 155 13 CPU MT F   Extended Sierpinski Problem (LLR) 756/1640 Hosts Per User 2.01
5 668 428 24 CPU MT F   Generalized Cullen/Woodall Prime Search (LLR) 751/1000 Tasks in Progress 220 252
8 480 211 11 CPU MT F   Prime Sierpinski Problem (LLR) 403/1532 Primes Discovered 87 999
1 152 978 448 CPU MT F   Proth Prime Search (LLR) 1511/196K Primes Reported6 at T5K 32 114
518 249 5K+ CPU MT F   Proth Prime Search Extended (LLR) 4006/1065K Mega Primes Discovered 1 233
1 035 424 879 CPU MT F   Proth Mega Prime Search (LLR) 4003/46K TeraFLOPS 4 040.720
11 602 499 7 CPU MT F   Seventeen or Bust (LLR) 412/4866
PrimeGrid's 2022 Challenge Series
Great Internet Fermat Prime Search
Challenge

Dec 7 05:00:00 to Dec 17 04:59:59 (UTC)


Time until Great Internet Fermat Prime Search challenge:
Days
Hours
Min
Sec
Standings
Prime Meridian Day Challenge (CUL-LLR, WOO-LLR): Individuals | Teams
2 893 288 107 CPU MT F   Sierpinski / Riesel Base 5 Problem (LLR) 1507/35K
388 342 5K+ CPU MT   Sophie Germain Prime Search (LLR) 7480/1119K
4 208 224 45 CPU MT F   The Riesel Problem (LLR) 1006/2000
6 838 947 13 CPU MT F   Woodall Prime Search (LLR) 1744/1000
  CPU GPU Proth Prime Search (Sieve) 2362/
278 732 5K+   GPU Generalized Fermat Prime Search (n=15) 982/161K
540 384 4083 CPU MT F GPU F Generalized Fermat Prime Search (n=16) 1453/130K
1 058 634 635 CPU MT F GPU F Generalized Fermat Prime Search (n=17 mega) 996/88K
1 894 299 227 CPU MT F GPU F Generalized Fermat Prime Search (n=18) 1009/24K
3 533 649 66 CPU MT F GPU F Generalized Fermat Prime Search (n=19) 1002/30K
6 604 520 13 CPU MT F GPU F Generalized Fermat Prime Search (n=20) 1006/995
12 434 930 7 CPU MT4+ F GPU F Generalized Fermat Prime Search (n=21) 400/8851
22 608 628 3 CPU MT4+ F GPU F Generalized Fermat Prime Search (n=22) 202/10K
25 143 420 > 1 <   GPU F Do You Feel Lucky? 203/299
  CPU MT GPU AP27 Search 1263/
  CPU MT GPU Wieferich and Wall-Sun-Sun Prime Search (ending soon) 979/

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.
MT4+ Multithreading via web-based preferences is mandatory, requiring a minimum of 4 threads..

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 9 August 2022, 11:56:02 UTC, PrimeGrid's Generalized Fermat Prime Search found the Mega Prime
19517341048576+1
The prime is 6,595,985 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 1st for Generalized Fermat primes and 13th overall. This is the second-largest prime found by PrimeGrid, and the second-largest non-Mersenne prime.

The discovery was made by Kazuya Tanaka (apophise@jisaku) of Japan using an NVIDIA GeForce RTX 3080 Ti in an Intel(R) Core(TM) i7-9700K CPU @ 3.60GHz with 64GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 hour, 2 minutes to complete the probable prime (PRP) test using GeneferOCL5. Kazuya Tanaka is a member of Team 2ch.

The prime was verified on 10 August 2022, 17:39:14 UTC by Jens Katzur (Landjunge) of Germany using an NVIDIA GeForce RTX 3070 in an Intel(R) Xeon(R) CPU X5675 @ 3.07GHz with 40GB RAM, running Linux Ubuntu. This computer took about 1 hour, 36 minutes to complete the probable prime (PRP) test using GeneferOCL5. Jens Katzur is a member of Planet 3DNow!.

The PRP was confirmed prime on 11 August 2022 by an AMD Ryzen 9 5950X @3.4GHz, running Linux Mint. This computer took about 51 hours, 52 minutes to complete the primality test using LLR2.

For more information, please see the Official Announcement.


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 found 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.


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

19517341048576+1 (GFN): official announcement | Generalized Fermat Prime
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

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

WW Project to End Soon
Within the next month or two, the WW project will reach the limit of the software, and the project will shut down.

Details and discussion can be found here.
14 Nov 2022 | 6:35:59 UTC · Comment


Prime Meridian Day Challenge starts November 1st
The eighth challenge of the 2022 Series will be a 10-day challenge celebrating the 1884 international agreement to standardize the official 0° longitude -- AKA the Prime Meridian! The challenge will be offered on the CUL-LLR and WOO-LLR applications, beginning 01 November 05:00 UTC and ending 11 November 05:00 UTC.

To participate in the Challenge, please select only the Cullen Prime Search (LLR) and Woodall Prime Search (LLR) projects in your PrimeGrid preferences section.

Dilemmas? Dramas? Diversions? Drollery? Join the discussion at https://www.primegrid.com/forum_thread.php?id=10024&nowrap=true#157550
30 Oct 2022 | 4:36:56 UTC · Comment


World Space Week Challenge starts October 4th
The sixth challenge of the 2022 Series will be a 7-day challenge in celebration of the annual United Nations education event, World Space Week. The challenge will be offered on the TRP-LLR application, beginning 04 October 12:00 UTC and ending 11 October 12:00 UTC.

To participate in the Challenge, please select only the The Riesel Problem (LLR) project in your PrimeGrid preferences section.

Confusions? Conclusions? Cautions? Confessions? Conjectures? Join the discussion at https://www.primegrid.com/forum_thread.php?id=10009&nowrap=true#157194
30 Sep 2022 | 20:18:26 UTC · Comment


GFN 20 Found!
On 9 August 2022, 11:56:02 UTC, PrimeGrid’s Generalized Fermat Prime Search found the Generalized Fermat mega prime:

1951734^1048576+1

The prime is 6,595,985 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 1st for Generalized Fermat primes and 13th overall. This is the second-largest prime found by PrimeGrid, and the second-largest non-Mersenne prime.

The discovery was made by Kazuya Tanaka (apophise@jisaku) of Japan using an NVIDIA GeForce RTX 3080 Ti in an Intel(R) Core(TM) i7-9700K CPU @ 3.60GHz with 64GB RAM, running Microsoft Windows 10 Professional x64 Edition. This GPU took about 1 hour, 2 minutes to complete the probable prime (PRP) test using GeneferOCL5. Kazuya Tanaka is a member of Team 2ch.

The prime was verified on 10 August 2022, 17:39:14 UTC by Jens Katzur (Landjunge) of Germany using an NVIDIA GeForce RTX 3070 in an Intel(R) Xeon(R) CPU X5675 @ 3.07GHz with 40GB RAM, running Linux Ubuntu. This computer took about 1 hour, 36 minutes to complete the probable prime (PRP) test using GeneferOCL5. Jens Katzur is a member of Planet 3DNow!.

The PRP was confirmed prime on 11 August 2022 by an AMD Ryzen 9 5950X @3.4GHz, running Linux Mint. This computer took about 51 hours, 52 minutes to complete the primality test using LLR2.

For more details, please see the official announcement.
17 Sep 2022 | 1:24:25 UTC · Comment


Riemann's Birthday Challenge starts September 17th
The sixth challenge of the 2022 Series will be a 3-day challenge celebrating the 196th birthday of the German mathematician Bernhard Riemann. The challenge will be offered on the WW application, beginning 17 September 20:00 UTC and ending 20 September 20:00 UTC.

To participate in the Challenge, please select only the Wieferich and Wall-Sun-Sun Prime Search (WW) project in your PrimeGrid preferences section.

Issues? Inquiries? Interjections? Join the discussion at https://www.primegrid.com/forum_thread.php?id=9993&nowrap=true#156946
14 Sep 2022 | 18:05:24 UTC · Comment


... more

News is available as an RSS feed   RSS


Newly reported primes

(Mega-primes are in bold.)

7508365273827*2^1290000-1 (xii5ku); 119246256^131072+1 (288larsson); 7506774957855*2^1290000-1 (3C-714); 119137704^131072+1 (Scott Brown); 5909*2^1721529+1 (waffleironhead); 5745*2^3439450+1 (288larsson); 16769618^262144+1 (Per); 7506347826897*2^1290000-1 (SkyCaptain); 5577*2^1721383+1 (Zinsig Kim); 320568822^32768+1 (XU Yongchen); 7503537959967*2^1290000-1 (ChUcK); 175656830^65536+1 (He Tao); 175615320^65536+1 (Robert); 3647*2^1721331+1 (pschoefer); 320494000^32768+1 (bicycle_Race); 320499374^32768+1 (Gaoyf); 320476568^32768+1 (Johny); 320433918^32768+1 (Johny); 1955*2^1721053+1 (Zinsig Kim); 7503377342877*2^1290000-1 (gemini8)

Top Crunchers:

Top participants by RAC

Science United61290656.11
Syracuse University52861771.98
valterc26233949.84
tng23081289.58
Freezing19260180.58
Tuna Ertemalp18116500.61
vanos051215952760.97
Ryan Propper14310074.76
Miklos M.13471443.8
vaughan12907617.79

Top teams by RAC

Antarctic Crunchers54577506.62
SETI.Germany50597384.37
The Scottish Boinc Team44926354.3
BOINC.Italy27481565.83
Aggie The Pew26679101.16
Team China24020862.53
TeAm AnandTech21208935.56
L'Alliance Francophone21132445.27
BOINC@Taiwan19396544.94
AMD Users19323979.71
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