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    A2 / B3,4,5
UTC time 2024-03-28 12:53:31 Powered by BOINC
6 478 842 17 CPU MT F   321 Prime Search (LLR) 999/1000 User Count 354 863
7 477 205 14 CPU MT F   Cullen Prime Search (LLR) 750/1000 Host Count 852 194
8 157 896 13 CPU MT F   Extended Sierpinski Problem (LLR) 6250/15K Hosts Per User 2.4
6 431 065 17 CPU MT F   Generalized Cullen/Woodall Prime Search (LLR) 797/1000 Tasks in Progress 172 748
9 581 448 11 CPU MT F   Prime Sierpinski Problem (LLR) 400/2082 Primes Discovered 95 437
1 480 295 477 CPU MT F   Proth Prime Search (LLR) 1504/394K Primes Reported6 at T5K 34 849
585 178 4876 CPU MT F   Proth Prime Search Extended (LLR) 3987/770K Mega Primes Discovered 2 075
12 613 147 7 CPU MT F   Seventeen or Bust (LLR) 428/868 TeraFLOPS 2 445.031
3 363 642 111 CPU MT F   Sierpinski / Riesel Base 5 Problem (LLR) 1509/47K
PrimeGrid's 2024 Challenge Series
"Einstein" Anniversary Challenge
Mar 20 03:14:00 to Mar 25 03:13:59 (UTC)


Time until JUICE's Birthday challenge:
Days
Hours
Min
Sec
Standings
"Einstein" Anniversary Challenge (ESP): Individuals | Teams
4 547 402 55 CPU MT F   The Riesel Problem (LLR) 1009/2000
7 214 250 15 CPU MT F   Woodall Prime Search (LLR) 752/1000
  CPU Sierpinski / Riesel Base 5 Problem (Sieve) 947/
561 823 5K+ CPU MT F GPU F Generalized Fermat Prime Search (n=16) 1382/830K
1 094 028 887 CPU MT F GPU F Generalized Fermat Prime Search (n=17 mega) 1003/366K
1 983 789 271 CPU MT F GPU F Generalized Fermat Prime Search (n=18) 1011/83K
3 627 051 83 CPU MT F GPU F Generalized Fermat Prime Search (n=19) 1006/17K
6 822 923 15 CPU MT F GPU F Generalized Fermat Prime Search (n=20) 1017/5562
12 879 662 6 CPU MT4+ F GPU F Generalized Fermat Prime Search (n=21) 417/2617
23 229 608 3 CPU MT4+ F GPU F Generalized Fermat Prime Search (n=22) 215/877
25 429 060 > 1 <   GPU F Do You Feel Lucky? 212/855
  CPU MT GPU AP27 Search 1447/

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.
  • Seventeen or Bust: helping to solve the Sierpinski Problem.
  • Sierpinski/Riesel Base 5: helping to solve the Sierpinski/Riesel Base 5 Problem.
  • 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 5 July 2023, 17:48:23 UTC, PrimeGrid's 321 Prime Search found the Mega Prime
3*220928756-1
The prime is 6,300,184 digits long and will enter The Largest Known Primes Database ranked 19th overall. This is the largest known prime for the 3*2n-1 form.

The discovery was made by Arno Lehmann (Zyfdnug) of Germany using an AMD Ryzen 9 7900X @ 4.7GHz with 64GB RAM, running Debian GNU/Linux 12 (bookworm). This CPU took about 6 hours, 20 minutes to complete the probable prime (PRP) test using LLR2.

The PRP was confirmed prime on 5 July 2023 by an AMD Ryzen 9 5950X @ 3.4GHz, running Linux Mint. This computer took about 2 hours, 46 minutes to complete the primality test using LLR2.

For more information, please see the Official Announcement.


On 8 June 2023, 01:41:31 UTC, PrimeGrid's Generalized Fermat Prime Search found the Mega Prime
6339004524288+1
The prime is 3,566,218 digits long and will enter The Largest Known Primes Database ranked 9th for Generalized Fermat primes and 70th overall.

The discovery was made by Ken Glennie (xcroc) of Australia using an NVIDIA GeForce GTX 1080 Ti in an Intel(R) Xeon(R) CPU E5-2690 0 @ 2.90GHz with 32GB RAM, running Ubuntu 20.04.5 LTS. This GPU took about 1 hour, 31 minutes to complete the probable prime (PRP) test using Genefer22. Ken Glennie is a member of the SW QLD team.

The PRP was confirmed prime on 8 June 2023 by an AMD Ryzen 9 5950X @ 3.4GHz, running Linux Mint. This computer took about 9 hours, 33 minutes to complete the primality test using LLR2.

For more information, please see the Official Announcement.


On 24 September 2022, 15:01:43 UTC, PrimeGrid's Generalized Fermat Prime Search found the Mega Prime
19637361048576+1
The prime is 6,598,776 digits long and will enter The Largest Known Primes Database ranked 1st for Generalized Fermat primes and 13th overall.

The discovery was made by Tom Greer (tng) of the United States using GeneferOCL5. Tom Greer is a member of the Antarctic Crunchers team.

The prime was verified by Wolfgang Schwieger (DeleteNull) of Germany using GeneferOCL5. Wolfgang Schwieger is a member of the SETI.Germany team.

The PRP was confirmed prime on 26 September 2022 by an AMD Ryzen 9 5950X @ 3.4GHz, running Linux Mint. This computer took about 51 hours, 40 minutes to complete the primality test using LLR2.

For more information, please see the Official Announcement.


Other significant primes


3·220928756-1 (321): official announcement | 321
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

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

277699295941594831+170826477*23#*n for n=0..26 (AP27): official announcement
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

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

6339004524288+1 (GFN): official announcement | Generalized Fermat Prime
19637361048576+1 (GFN): official announcement | Generalized Fermat Prime
19517341048576+1 (GFN): official announcement | Generalized Fermat Prime
4896418524288+1 (GFN): official announcement | Generalized Fermat Prime
10590941048576+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

63838·53887851-1 (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

"Einstein" anniversary challenge
From March 20th 03:14:00 UTC to March 25th 03:14:00 PrimeGrid will be running a 5 day challenge on the Extended Sierpinsky project (ESP). Note the unusual start and end times!

For more information, please see this forum thread.
15 Mar 2024 | 21:54:57 UTC · Comment


Policy regarding banning computers
Effective immediately, PrimeGrid reserves the right to ban computers that exhibit problematic behavior.

Please see this forum thread for more information.
22 Feb 2024 | 17:04:48 UTC · Comment


Tour de Primes 2024
February is almost upon us, and with it, PrimeGrid's annual Tour de Primes.

This is a month long event where all can earn special Tour de Primes badges and a lucky few will win the coveted Tour de Primes jerseys.

More information can be found here.
31 Jan 2024 | 17:11:00 UTC · Comment


Unplanned outage
This afternoon PrimeGrid experienced an unplanned outage. For reasons unknown, the database locked up and started consuming 100% CPU on all 32 cores, while doing nothing at all.

We proceeded cautiously, not wanting to risk damaging the database, and slowly shut down the system, checked the database, and brought everything back up.

Everything is back to normal, and the servers are operating once again.

27 Jan 2024 | 0:49:20 UTC · Comment


Hilbert's Birthday Challenge starts 23 January
The first challenge of the 2024 Series will be a 3-day challenge celebrating David Hilbert's birthday! The challenge will be offered on the PPSE-LLR application, running from January 23 01:00 UTC to January 26 01:00 UTC.

To participate in the Challenge, please select only the Proth Prime Search Extended LLR (PPSE) project in your PrimeGrid preferences section. Join the discussion at https://www.primegrid.com/forum_thread.php?id=10425.
15 Jan 2024 | 12:25:35 UTC · Comment


... more

News is available as an RSS feed   RSS


Newly reported primes

(Mega-primes are in bold.)

7811*2^1943413+1 (USTL-FIL (Lille Fr)); 6613*2^1942806+1 (USTL-FIL (Lille Fr)); 36748386^262144+1 (damotbe); 373674782^65536+1 (Holdolin); 373644824^65536+1 (Holdolin); 373449408^65536+1 ([AF>Belgique] bill1170); 373289162^65536+1 (Aperture_Science_Innovators); 373280594^65536+1 (Holdolin); 281*2^4886723+1 (damotbe); 6911*2^1942561+1 (bparsonnet); 9585*2^1942368+1 (Aperture_Science_Innovators); 221636362^131072+1 (Chooka); 3193*2^1942448+1 (Gianni Valentino); 4447*2^1942444+1 (SkyHighWeFly); 5041*2^1942168+1 (meso@Mayoineko); 221528336^131072+1 (JayPi); 372959772^65536+1 (Werinbert); 372824658^65536+1 (Sad); 2271*2^1940969+1 (Aperture_Science_Innovators); 36717890^262144+1 (k4m1k4z3)

Top Crunchers:

Top participants by RAC

Science United26783208.41
valterc14074265.19
Aperture_Science_Innovators11738275.62
tng10791087.31
Miklos M.9433076.72
Pavel Atnashev7213539.66
EA6LE7108595.3
Scott Brown6940500.34
Trotador6856213
10esseeTony6588098.37

Top teams by RAC

Antarctic Crunchers34887441.29
SETI.Germany22101816.13
Aggie The Pew19976166.64
The Scottish Boinc Team16878317.56
TeAm AnandTech16337560.53
[H]ard|OCP15952589.46
BOINC.Italy14913107.93
Czech National Team14642792.9
BOINC@AUSTRALIA13383242.32
Team 2ch13183553.74
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