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Digits
Prime
Rank1

App Types

Sub-Project
Available Tasks
    A2 / B3,4,5
UTC time 2023-05-28 06:10:12 Powered by BOINC
6 088 720 20 CPU MT F   321 Prime Search (LLR) 1002/1000 User Count 354 083
7 186 449 13 CPU MT F   Cullen Prime Search (LLR) 769/1000 Host Count 831 485
7 093 846 13 CPU MT F   Extended Sierpinski Problem (LLR) 750/7549 Hosts Per User 2.35
5 952 762 20 CPU MT F   Generalized Cullen/Woodall Prime Search (LLR) 752/1000 Tasks in Progress 178 214
9 106 696 11 CPU MT F   Prime Sierpinski Problem (LLR) 2616/24K Primes Discovered 90 377
1 263 919 466 CPU MT F   Proth Prime Search (LLR) 1495/358K Primes Reported6 at T5K 33 380
525 810 5K+ CPU MT F   Proth Prime Search Extended (LLR) 3999/416K Mega Primes Discovered 1 643
1 044 794 1156 CPU MT F   Proth Mega Prime Search (LLR) 4003/154K TeraFLOPS 3 337.833
11 839 366 7 CPU MT F   Seventeen or Bust (LLR) 413/7218
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
3 034 048 106 CPU MT F   Sierpinski / Riesel Base 5 Problem (LLR) 1535/34K
388 342 5K+ CPU MT   Sophie Germain Prime Search (LLR) 7455/731K
4 383 956 44 CPU MT F   The Riesel Problem (LLR) 1011/2000
6 955 815 13 CPU MT F   Woodall Prime Search (LLR) 773/1000
    GPU Cullen/Woodall Prime Search (Sieve) 1917/
  CPU GPU Proth Prime Search (Sieve) 2469/
280 394 5K+ CPU MT GPU Generalized Fermat Prime Search (n=15) 955/106K
552 870 4556 CPU MT F GPU F Generalized Fermat Prime Search (n=16) 1498/274K
1 077 815 715 CPU MT F GPU F Generalized Fermat Prime Search (n=17 mega) 979/375K
1 936 992 234 CPU MT F GPU F Generalized Fermat Prime Search (n=18) 1011/76K
3 565 394 70 CPU MT F GPU F Generalized Fermat Prime Search (n=19) 1003/11K
6 639 639 13 CPU MT F GPU F Generalized Fermat Prime Search (n=20) 1003/8098
12 606 340 7 CPU MT4+ F GPU F Generalized Fermat Prime Search (n=21) 409/13K
22 848 299 3 CPU MT4+ F GPU F Generalized Fermat Prime Search (n=22) 216/13K
25 278 401 > 1 <   GPU F Do You Feel Lucky? 204/1173
  CPU MT GPU AP27 Search 1254/

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

63838·53887851-1 (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 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


GFN-15 upgrade to Genefer22
We've updated the GFN-15 apps to the 2022 version of Genefer.

With this upgrade, we are adding support for CPU apps (including multi-threading), native Apple M1 apps (both CPU and GPU), and discreet Intel ARC GPUs.

For more information, or for discussions, please click here.
10 Apr 2023 | 22:48:04 UTC · Comment


... more

News is available as an RSS feed   RSS


Newly reported primes

(Mega-primes are in bold.)

8240347326627*2^1290000-1 (Nick); 1687*2^1746588+1 (composite); 8238142130127*2^1290000-1 (Jack Welsh); 360334644^32768+1 (vaughan); 360286034^32768+1 (vaughan); 359988406^32768+1 (vaughan); 8238348965115*2^1290000-1 (Jack Welsh); 272667828^65536+1 (Jann); 359958944^32768+1 (vaughan); 359797240^32768+1 (Landjunge); 359853018^32768+1 (ikari); 359787564^32768+1 (vaughan); 359649140^32768+1 (boss); 8236766834655*2^1290000-1 (No_Name); 359597086^32768+1 (Jaari); 359566594^32768+1 (teppot); 359514310^32768+1 ([AF>EDLS]GuL); 359468634^32768+1 (Landjunge); 359414168^32768+1 (Landjunge); 6387*2^3469634+1 (DrStrabismus)

Top Crunchers:

Top participants by RAC

tng26827334.27
vaughan26338254.4
Science United16081134.72
vanos051215545238.07
Miklos M.13613458.02
JGREAVES11072049.13
ian10190576.12
zombie67 [MM]9581052.37
Ryan Propper9254739.91
Geoff8707228.04

Top teams by RAC

Antarctic Crunchers66399919.01
The Scottish Boinc Team35574698.5
AMD Users29383113.82
SETI.Germany26627969.44
Aggie The Pew24132766.31
TeAm AnandTech23739026.55
Team China23119454.07
BOINC@Taiwan20148960.03
SETI.USA19462712.49
Rechenkraft.net17760838.46
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