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    A2 / B3,4,5
UTC time 2022-05-18 22:49:16 Powered by BOINC
5 830 191 18 CPU F MT   321 Prime Search (LLR) 1034/1000 User Count 353 037
6 615 746 13 CPU F MT   Cullen Prime Search (LLR) 766/1000 Host Count 690 371
6 690 302 13 CPU F MT   Extended Sierpinski Problem (LLR) 764/14K Hosts Per User 1.96
5 460 965 22 CPU F MT   Generalized Cullen/Woodall Prime Search (LLR) 755/1000 Tasks in Progress 196 451
8 230 449 11 CPU F MT   Prime Sierpinski Problem (LLR) 401/513 Primes Discovered 86 733
979 550 1502 CPU F MT   Proth Prime Search (LLR) 1500/322K Primes Reported6 at T5K 31 761
509 774 5K+ CPU F MT   Proth Prime Search Extended (LLR) 3994/832K Mega Primes Discovered 1 046
1 029 903 744 CPU F MT   Proth Mega Prime Search (LLR) 3943/88K TeraFLOPS 4 020.469
11 357 560 7 CPU F MT   Seventeen or Bust (LLR) 402/2696
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
2 614 895 99 CPU F MT   Sierpinski / Riesel Base 5 Problem (LLR) 1509/35K
388 342 5K+ CPU MT   Sophie Germain Prime Search (LLR) 7482/507K
3 784 635 48 CPU F MT   The Riesel Problem (LLR) 1009/2000
6 422 603 13 CPU F MT   Woodall Prime Search (LLR) 751/1000
  CPU GPU Proth Prime Search (Sieve) 2485/
277 269 5K+   GPU Generalized Fermat Prime Search (n=15) 986/40K
538 875 3711 CPU MT GPU Generalized Fermat Prime Search (n=16) 1492/142K
1 054 454 514 CPU MT GPU Generalized Fermat Prime Search (n=17 mega) 996/147K
1 886 045 191 CPU MT GPU Generalized Fermat Prime Search (n=18) 999/52K
3 507 712 54 CPU MT GPU Generalized Fermat Prime Search (n=19) 999/14K
6 591 753 13 CPU MT GPU Generalized Fermat Prime Search (n=20) 1001/10K
12 386 835 7 CPU GPU Generalized Fermat Prime Search (n=21) 400/17K
22 473 767 3   GPU Generalized Fermat Prime Search (n=22) 200/9488
25 110 668 > 1 <   GPU Do You Feel Lucky? 201/1951
  CPU MT GPU AP27 Search 1301/
  CPU MT GPU Wieferich and Wall-Sun-Sun Prime Search 995/

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 1,418,398 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

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


SR5 Mega Prime Find!
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*5^3493296-1

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 details, please see the official announcement.
16 Dec 2021 | 20:45:41 UTC · Comment


ESP Mega Prime!
On 25 November 2021, 03:19:26 UTC, PrimeGrid's Extended Sierpinski Problem found the Mega Prime:

202705*2^21320516+1

The prime is 6,418,121 digits long and will enter Chris Caldwell's The Largest Known Primes Database ranked 13th overall. This find eliminates k=202705; 8 k's remain in the Extended Sierpinski Problem.

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 about 10 hours, 59 minutes to complete the primality test using LLR2. Pavel is a member of the Ural Federal University team.

For more details, please see the official announcement.

14 Dec 2021 | 18:24:54 UTC · Comment


... more

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Newly reported primes

(Mega-primes are in bold.)

289417960^32768+1 (Tuna Ertemalp); 3537*2^1693311+1 (Honza); 4065*2^1693197+1 (NXR); 110824714^131072+1 (Scott Brown); 8891*2^1693043+1 (Honza); 779*2^3253063+1 (Merimac Strongbottom); 9705*2^3420915+1 (LucasBrown); 6195*2^1693037+1 (Honza); 289219998^32768+1 ([SG]_Carsten); 7052356416945*2^1290000-1 (Matthew McCleary); 1315*2^1692898+1 (Honza); 8919*2^3420758+1 (Scott Brown); 166787224^65536+1 (candido); 289123210^32768+1 (Tuna Ertemalp); 7054004150835*2^1290000-1 (Adrian Schori); 1799*2^1692857+1 (Honza); 8681*2^1692569+1 (oya-lab); 289038018^32768+1 (Subaguru); 288916364^32768+1 (Subaguru); 288878514^32768+1 (Subaguru)

Top Crunchers:

Top participants by RAC

Science United62872679.6
Syracuse University42972278.95
tng22809588.62
valterc22478728.59
Galumpkis19498804.55
wareyore13877904.57
vaughan12764509.97
motqalden12104763.04
Freezing11634668.82
Icecold10794819.18

Top teams by RAC

TeAm AnandTech93108349.51
The Scottish Boinc Team51189473.12
Planet 3DNow!46008524.36
SETI.Germany42748191.26
Antarctic Crunchers40804905.52
Czech National Team39263361.79
[H]ard|OCP32762411.26
BOINC.Italy24605292.84
Aggie The Pew17783577.92
AMD Users16899832.89
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