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Prime
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Available Tasks
    A2 / B3,4,5
UTC time 2023-06-05 07:54:24 Powered by BOINC
6 096 188 21 CPU MT F   321 Prime Search (LLR) 1007/1000 User Count 354 106
7 195 811 14 CPU MT F   Cullen Prime Search (LLR) 756/1000 Host Count 831 645
7 100 131 14 CPU MT F   Extended Sierpinski Problem (LLR) 754/7130 Hosts Per User 2.35
5 970 766 21 CPU MT F   Generalized Cullen/Woodall Prime Search (LLR) 760/1000 Tasks in Progress 167 347
9 106 696 12 CPU MT F   Prime Sierpinski Problem (LLR) 2492/24K Primes Discovered 90 445
1 240 516 475 CPU MT F   Proth Prime Search (LLR) 1519/241K Primes Reported6 at T5K 33 399
526 218 5K+ CPU MT F   Proth Prime Search Extended (LLR) 3999/244K Mega Primes Discovered 1 654
1 045 161 1162 CPU MT F   Proth Mega Prime Search (LLR) 3980/126K TeraFLOPS 3 127.654
11 858 843 8 CPU MT F   Seventeen or Bust (LLR) 436/6547
PrimeGrid's 2023 Challenge Series
Gotthold Eisenstein's Birthday
Challenge

Apr 16 16:00:00 to Apr 23 15:59:59 (UTC)


Time until Blaise Pascal's Birthday challenge:
Days
Hours
Min
Sec
Standings
Gotthold Eisenstein's Birthday Challenge (PSP): Individuals | Teams
3 038 693 107 CPU MT F   Sierpinski / Riesel Base 5 Problem (LLR) 1501/30K
388 342 5K+ CPU MT   Sophie Germain Prime Search (LLR) 7462/423K
4 386 068 45 CPU MT F   The Riesel Problem (LLR) 1001/2000
6 962 291 14 CPU MT F   Woodall Prime Search (LLR) 753/1000
    GPU Cullen/Woodall Prime Search (Sieve) 1919/
  CPU GPU Proth Prime Search (Sieve) 2474/
280 513 5K+ CPU MT GPU Generalized Fermat Prime Search (n=15) 886/106K
553 013 4579 CPU MT F GPU F Generalized Fermat Prime Search (n=16) 1483/87K
1 078 088 721 CPU MT F GPU F Generalized Fermat Prime Search (n=17 mega) 1001/270K
1 937 982 235 CPU MT F GPU F Generalized Fermat Prime Search (n=18) 1003/43K
3 565 908 71 CPU MT F GPU F Generalized Fermat Prime Search (n=19) 1005/9751
6 640 535 14 CPU MT F GPU F Generalized Fermat Prime Search (n=20) 1003/7360
12 611 638 7 CPU MT4+ F GPU F Generalized Fermat Prime Search (n=21) 401/12K
22 855 410 3 CPU MT4+ F GPU F Generalized Fermat Prime Search (n=22) 212/13K
25 282 264 > 1 <   GPU F Do You Feel Lucky? 203/717
  CPU MT GPU AP27 Search 1496/

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 26 May 2023, 01:04:36 UTC, PrimeGrid's AP27 Search (Arithmetic Progression of 27 primes) found the progression of 27 primes
277699295941594831+170826477*23#*n for n=0..26
This is the second known AP27.

The discovery was made by Tom Greer (tng) of the United States using an NVIDIA GeForce RTX 4080 on an AMD Ryzen 9 7950X CPU @ 4.50GHz running Microsoft Windows 10 Professional x64 Edition. This GPU took about 4 minutes and 22 seconds to complete the task (each task tests 100 progression differences of 10 shifts each). Tom Greer is a member of the Antarctic Crunchers team.

The task was verified on 26 May 2023, 01:04:39 UTC, by Vasil Zakiev (zvasi_000) of Russia using an NVIDIA GeForce RTX 4090 on an AMD Ryzen 9 7950X CPU @ 4.50GHz running Microsoft Windows 11 Professional x64 Edition. This computer took about 1 minute and 27 seconds to complete the task. Vasil Zakiev is a member of the Crystal Dream team.

For more information, please see the Official Announcement.


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.


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

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

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

63838·53887851-1 (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

AP27 Found!
On 26 May 2023, 01:04:36 UTC, PrimeGrid’s AP27 Search (Arithmetic Progression of 27 primes) found the progression of 27 primes:

277699295941594831+170826477*23#*n for n=0..26

This is the second known AP27.

The discovery was made by Tom Greer (tng) of the United States using a NVIDIA GeForce RTX 4080 on an AMD Ryzen 9 7950X CPU @ 4.50GHz running Microsoft Windows 10 Professional x64 Edition. This computer took about 4 minutes and 22 seconds to process the task (each task tests 100 progression differences of 10 shifts each). Tom Greer is a member of the Antarctic Crunchers team.

The AP27 task was double checked by Vasil Zakiev (zvasi_000) of Russia and was returned on 26 May 2023 01:04:39 UTC. This task was run on an NVIDIA GeForce RTX 4090 on an AMD Ryzen 9 7950X CPU @ 4.50GHz running Microsoft Windows 11 Professional x64 Edition. The double check took about 1 minute and 27 seconds to complete. Vasil Zakiev is a member of the Crystal Dream team.

For more details, please see the official announcement.
3 Jun 2023 | 15:55:26 UTC · Comment


AP27 now supports Intel ARC GPUs
The AP27 project now supports Intel ARC GPUs on both Windows and Linux.

This version of the app is faster than the previous version and all GPUs under Linux and Windows should see faster run times.

For discussion and more information, please see this forum thread.
5 May 2023 | 22:50:37 UTC · Comment


Restarting of Cullen/Woodall Sieve
Sometime later today (UTC) we expect to be resuming the Cullen/Woodall Prime Search Sieve.

For more information and discussion, please follow this link.
1 May 2023 | 23:17:45 UTC · Comment


30 day warning for Primorial and Factorial shutting down on PRPNet
The last two PRPNet projects, Primorial and Factorial, will be ending soon. Discussion and information can be found on the forums. 15 Apr 2023 | 12:09:30 UTC · Comment


Gotthold Eisenstein's Birthday Challenge starts April 16th
The third challenge of the 2023 Series will be a 7-day challenge celebrating the 200th birthday of German number theorist Ferdinand Gotthold Max Eisenstein. The challenge will be offered on the PSP-LLR application, beginning 16 April 16:00 UTC and ending 23 April 16:00 UTC.

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

Comments? Concerns? Complaints? Critiques? Contemplations? Join the discussion at https://www.primegrid.com/forum_thread.php?id=10202
14 Apr 2023 | 16:08:27 UTC · Comment


... more

News is available as an RSS feed   RSS


Newly reported primes

(Mega-primes are in bold.)

363514142^32768+1 (Ginga); 363285250^32768+1 (ikari); 9607*2^1747826+1 (composite); 8261372362785*2^1290000-1 (Nick); 363*2^4119017+1 (Scott Brown); 8263318188207*2^1290000-1 (Nick); 274171652^65536+1 (Michael Millerick); 8261204140425*2^1290000-1 (Adrian Schori); 8248324731117*2^1290000-1 (Nick); 8261241785247*2^1290000-1 (vaughan); 8260784018517*2^1290000-1 (Nick); 5105*2^1747067+1 (HAL9000); 7897*2^3471568+1 (w a h); 273498220^65536+1 (Derek); 8254144964637*2^1290000-1 (TimT); 8259901937115*2^1290000-1 (Nick); 8259870344847*2^1290000-1 (No_Name); 362730048^32768+1 (Johny); 2203*2^1747434+1 (Yegor001); 5925*2^1747386+1 (Yegor001)

Top Crunchers:

Top participants by RAC

tng27444310.54
vaughan26126026.73
Science United16143420.07
vanos051215790263.61
JGREAVES11829327.36
zombie67 [MM]10623056.69
ian9449275.36
Geoff9330930.4
Ryan Propper8586206.84
Freezing7777636.69

Top teams by RAC

Antarctic Crunchers66868914.01
SETI.Germany31417333.59
AMD Users27951788.11
The Scottish Boinc Team24128791.56
Aggie The Pew23684462.4
Team China22146657.65
BOINC@Taiwan20499776.81
SETI.USA19351624.48
Sicituradastra.15611458.55
TeAm AnandTech13701486.39
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