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    A2 / B3,4,5
UTC time 2022-05-24 07:22:06 Powered by BOINC
5 837 557 17 CPU F MT   321 Prime Search (LLR) 1003/1000 User Count 353 052
6 623 582 13 CPU F MT   Cullen Prime Search (LLR) 767/1000 Host Count 690 570
6 703 253 13 CPU F MT   Extended Sierpinski Problem (LLR) 755/13K Hosts Per User 1.96
5 469 039 22 CPU F MT   Generalized Cullen/Woodall Prime Search (LLR) 750/1000 Tasks in Progress 164 787
8 241 030 11 CPU F MT   Prime Sierpinski Problem (LLR) 405/1522 Primes Discovered 86 776
980 214 1508 CPU F MT   Proth Prime Search (LLR) 1503/288K Primes Reported6 at T5K 31 770
510 178 5K+ CPU F MT   Proth Prime Search Extended (LLR) 3997/661K Mega Primes Discovered 1 052
1 030 160 748 CPU F MT   Proth Mega Prime Search (LLR) 4002/230K TeraFLOPS 3 382.918
11 373 710 7 CPU F MT   Seventeen or Bust (LLR) 400/2115
PrimeGrid's 2022 Challenge Series
Geek Pride Day Challenge
May 25 18:00:00 to May 30 17:59:59 (UTC)


Time until Geek Pride Day challenge:
Days
Hours
Min
Sec
Standings
Geminids Shower Challenge (GFN-21, GFN-22, DYFL): Individuals | Teams
2 617 259 100 CPU F MT   Sierpinski / Riesel Base 5 Problem (LLR) 1504/33K
388 342 5K+ CPU MT   Sophie Germain Prime Search (LLR) 7464/352K
3 792 230 48 CPU F MT   The Riesel Problem (LLR) 1003/2000
6 427 280 13 CPU F MT   Woodall Prime Search (LLR) 751/1000
  CPU GPU Proth Prime Search (Sieve) 2414/
277 312 5K+   GPU Generalized Fermat Prime Search (n=15) 986/194K
538 938 3720 CPU MT GPU Generalized Fermat Prime Search (n=16) 1490/92K
1 054 557 518 CPU MT GPU Generalized Fermat Prime Search (n=17 mega) 994/120K
1 886 214 192 CPU MT GPU Generalized Fermat Prime Search (n=18) 999/48K
3 508 631 54 CPU MT GPU Generalized Fermat Prime Search (n=19) 993/104K
6 592 126 13 CPU MT GPU Generalized Fermat Prime Search (n=20) 1000/10K
12 387 960 7 CPU GPU Generalized Fermat Prime Search (n=21) 402/17K
22 476 448 3   GPU Generalized Fermat Prime Search (n=22) 203/14K
25 111 186 > 1 <   GPU Do You Feel Lucky? 201/1905
  CPU MT GPU AP27 Search 1486/
  CPU MT GPU Wieferich and Wall-Sun-Sun Prime Search 989/

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 7 December 2021, 14:48:06 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Problem project eliminated k=273662 by finding the Mega Prime
273662·53493296-1
The prime is 2,441,715 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 97th overall. 60 k's now remain in the Riesel Base 5 problem.

The discovery was made by Lukas Plätz (Lukas) of Germany using an AMD Ryzen 7 3700X 8-Core Processor with 16GB RAM, running Linux Mint. This computer took about 2 hours 57 minutes to complete the PRP test using LLR2.

The prime was verified on 8 December 2021, 09:52 UTC, by an AMD Ryzen 9 5900X 12-Core Processor with 64GB RAM, running Linux Mint. This computer took about 15 hours and 49 minutes to complete the primality test using LLR2.

For more information, please see the Official Announcement.


On 25 November 2021, 03:19:26 UTC, PrimeGrid's Extended Sierpinski Problem Search found the Mega Prime
202705·221320516+1
The prime is 6,418,121 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 13th overall.

The discovery was made by Pavel Atnashev (Pavel Atnashev) of Russia using an Intel(R) Xeon(R) E5-2695 v2 CPU @ 2.40GHz with 16GB RAM running Tiny Core Linux. This computer took 10 hours 59 minutes to complete the primality test using LLR2. Pavel Atnashev is a member of the Ural Federal University.

For more information, please see the Official Announcement.


On 18 September 2021, 06:50:25 UTC, PrimeGrid's Primorial Prime Search through PRPNet found the Mega Prime
3267113#-1
The prime is 1,418,398 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 1st for Primorial primes and 286th overall.

The discovery was made by James Winskill (Aeneas) of New Zealand using an Intel(R) Xeon(R) W-2125 CPU @ 4.00GHz with 64GB RAM running Windows 10. This computer took 20 hours 32 minutes to complete the PRP test using pfgw64. James Winskill is a member of the PrimeSearchTeam.

The prp was verified on 26 September 2021, 01:56:46 UTC by an Intel i7-7700K @ 4.2 GHz with 16 GB RAM, running Gentoo/Linux. This computer took a little over 5 days 8 hours 38 minutes to verify primality of the prp using pfgw64.

For more information, please see the Official Announcement.


On 8 October 2021, 01:38:53 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Problem project eliminated k=102818 by finding the Mega Prime
102818·53440382-1
The prime is 2,404,729 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 96th overall. 61 k's now remain in the Riesel Base 5 problem.

The discovery was made by Wes Hewitt (emoga) of Canada using an AMD Ryzen 9 5950X 16-Core Processor with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 hour and 29 minutes to complete the PRP test using LLR2. Wes Hewitt is a member of the TeAm AnandTech team.

The prime was verified on 10 October 2021, 20:14 UTC, by an Intel(R) Core(TM) i7-9800X CPU @ 3.80GHz with 32GB of RAM, running CentOS. This computer took 20 hours and 39 minutes to complete the primality test using LLR2.

For more information, please see the Official Announcement.


Other significant primes


3·217748034-1 (321): official announcement | 321
3·216819291-1 (321): official announcement | 321
3·216408818+1 (321): official announcement | 321
3·211895718-1 (321): official announcement | 321
3·211731850-1 (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

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
2985036524288+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

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
207494·53017502-1 (SR5): official announcement | k=207494 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

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


Another 321 Mega Prime!
On 24 March 2022, 17:27:33 UTC, PrimeGrid’s 321 Prime Search found the Mega Prime:

3*2^18924988-1

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 details, please see the official announcement.
8 May 2022 | 14:13:50 UTC · Comment


321 Mega Prime!
On 8 January 2022, 20:46:05 UTC, PrimeGrid’s 321 Prime Search found the Mega Prime:

3*2^18196595-1

The prime is 5,477,722 digits long and has entered Chris Caldwell's “The Largest Known Primes Database” ranked 20th overall.

The discovery was made by an anonymous user of Poland 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 2 hours, 40 minutes to complete the primality test using LLR2.

For more details, please see the official announcement.
8 May 2022 | 14:08:39 UTC · Comment


World Water Day Challenge starts March 21st
The second challenge of the 2022 Series will be a 5-day challenge in celebration of World Water Day, the annual United Nations Observance, started in 1993, that celebrates water and raises awareness of the 2 billion people currently living without access to safe water. The challenge will be offered on the 321-LLR application, beginning 21 March 03:21 UTC and ending 26 March 03:21 UTC.

To participate in the Challenge, please select only the 321 Prime Search LLR (321) project 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=9888&nowrap=true#154866
17 Mar 2022 | 18:14:23 UTC · Comment


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Newly reported primes

(Mega-primes are in bold.)

7070722189305*2^1290000-1 (JH30895); 1965*2^1694427+1 (Honza); 2895*2^3422030+1 (DeleteNull); 167217958^65536+1 (candido); 6351*2^1694480+1 (NXR); 7069034987997*2^1290000-1 (ETX); 7064246205417*2^1290000-1 (mikey); 290156988^32768+1 (Tuna Ertemalp); 2835*2^3421697+1 (ian); 9381*2^1693364+1 (Honza); 290098592^32768+1 (Tuna Ertemalp); 6885*2^1693302+1 (NXR); 7066843599735*2^1290000-1 (Adrian Schori); 7539*2^1693854+1 (Honza); 3467*2^1694315+1 (Jaari); 4655*2^1694265+1 (waffleironhead); 7065175225227*2^1290000-1 (emoga); 7066225942377*2^1290000-1 (JH30895); 289991418^32768+1 (arakelov); 7063337176815*2^1290000-1 (JH30895)

Top Crunchers:

Top participants by RAC

Science United51490135.21
Syracuse University43516100.62
tng27237976.95
valterc21936617.25
Renix12315636.39
Galumpkis11948885.39
Grzegorz Roman Granowski10594909.44
Freezing10586849.35
Nick10472023.05
Scott Brown10260084.18

Top teams by RAC

TeAm AnandTech57600902.18
Antarctic Crunchers47529055.57
The Scottish Boinc Team38318373.64
SETI.Germany34745644.76
Czech National Team32958713.97
Planet 3DNow!28668674.02
BOINC.Italy23442944.7
[H]ard|OCP20357087.25
Aggie The Pew18464461.31
BOINC@AUSTRALIA13423117.74
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