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    A2 / B3,4,5
UTC time 2021-09-26 18:44:38 Powered by BOINC
5 367 355 18 CPU F MT   321 Prime Search (LLR) 1003/1000 User Count 352 444
6 400 522 13 CPU F MT   Cullen Prime Search (LLR) 758/1000 Host Count 662 852
6 220 147 16 CPU F MT   Extended Sierpinski Problem (LLR) 753/8120 Hosts Per User 1.88
4 786 380 24 CPU F MT   Generalized Cullen/Woodall Prime Search (LLR) 751/1000 Tasks in Progress 143 629
8 029 956 11 CPU F MT   Prime Sierpinski Problem (LLR) 2931/8831 Primes Discovered 84 895
931 951 1290 CPU F MT   Proth Prime Search (LLR) 1501/62K Primes Reported6 at T5K 30 870
495 170 4676 CPU MT   Proth Prime Search Extended (LLR) 3992/646K Mega Primes Discovered 798
1 017 382 716 CPU F MT   Proth Mega Prime Search (LLR) 4004/38K TeraFLOPS 2 343.177
10 989 149 8 CPU F MT   Seventeen or Bust (LLR) 485/5307
PrimeGrid's 2021 Challenge Series
Once In a Blue Moon Challenge
Aug 12 20:00:00 to Aug 22 19:59:59 (UTC)


Time until Martin Gardner's Birthday challenge:
Days
Hours
Min
Sec
Standings
Once In a Blue Moon Challenge (PSP-LLR): Individuals | Teams
2 395 347 95 CPU F MT   Sierpinski / Riesel Base 5 Problem (LLR) 1509/45K
388 342 5K+ CPU MT   Sophie Germain Prime Search (LLR) 7478/316K
3 593 823 44 CPU F MT   The Riesel Problem (LLR) 1000/1997
6 117 603 16 CPU F MT   Woodall Prime Search (LLR) 763/1000
  CPU GPU Proth Prime Search (Sieve) 2471/
275 539 5K+   GPU Generalized Fermat Prime Search (n=15) 987/49K
532 486 3294 CPU GPU Generalized Fermat Prime Search (n=16) 1496/220K
986 884 1137 CPU GPU Generalized Fermat Prime Search (n=17 low) 1998/21K
1 044 519 499 CPU GPU Generalized Fermat Prime Search (n=17 mega) 993/49K
1 873 768 169 CPU GPU Generalized Fermat Prime Search (n=18) 1000/67K
3 491 672 48 CPU GPU Generalized Fermat Prime Search (n=19) 1000/4374
6 572 006 13 CPU GPU Generalized Fermat Prime Search (n=20) 1002/7831
12 270 694 7 CPU MT-A GPU Generalized Fermat Prime Search (n=21) 402/16K
22 296 849 4   GPU Generalized Fermat Prime Search (n=22) 201/3624
25 054 602 > 1 <   GPU Do You Feel Lucky? 201/812
  CPU MT GPU AP27 Search 1166/
  CPU MT GPU Wieferich and Wall-Sun-Sun Prime Search 997/

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.
MT-A Multithreading via app_config.xml 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 1 March 2021, 02:47:51 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime
25·28788628+1
The prime is 2,645,643 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 75th overall.

The discovery was made by Tom Greer (tng) of the United States using an Authentic AMD Ryzen 9 5950X CPU @ 4.90GHz with 32GB RAM, running Microsoft Windows 10 Professional. This computer took about 2 hours and 46 minutes to complete the primality test using LLR2. Tom Greer is a member of the Antarctic Crunchers team.

For more information, please see the Official Announcement.


On 17 February 2021, 14:27:08 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime
17·28636199+1
The prime is 2,599,757 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 76th overall.

The discovery was made by Tom Greer (tng) of the United States using an Intel(R) Xeon(R) Gold 6140 CPU @ 2.30GHz with 1GB RAM, running Linux Ubuntu. This computer took about 5 hours to complete the primality test using LLR2. Tom Greer is a member of the Antarctic Crunchers team.

For more information, please see the Official Announcement.


On 7 February 2021, 18:01:10 UTC, PrimeGrid's The Riesel Problem project eliminated k=9221 by finding the Mega Prime
9221·211392194-1
The prime is 3,429,397 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 44th overall. This is PrimeGrid's 17th elimination. 47 k's now remain.

The discovery was made by Barry Schnur (BarryAZ) of the United States using an AMD Ryzen 5 2600 Six-Core Processor with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 2 days, 29 minutes to complete the primality test using LLR2. Barry Schnur is a member of the BOINC Synergy team.

For more information, please see the Official Announcement.


Other significant primes


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
3·211484018-1 (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

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

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
682156·79682156+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

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

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
238694·52979422-1 (SR5): official announcement | k=238694 eliminated
146264·52953282-1 (SR5): official announcement | k=146264 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

321 Mega Prime!
On 6 September 2021, 07:16:28 UTC, PrimeGrid's 321 Search found the Mega Prime:

3*2^17748034-1

The prime is 5,342,692 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 18th overall.

The discovery was made by Marc Wiseler (McDaWisel) of Ireland using an AMD Ryzen 9 5900X 12-Core Processor with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 2 hours, 45 minutes to complete the primality test using LLR2. Marc Wiseler is a member of the Storm team.

The prime was verified on 6 September 2021, 11:47 UTC, by an Intel(R) Core(TM) i7-9800X CPU @ 3.80GHz with 32GB of RAM, running CentOS. This computer took 2 hours and 41 minutes to complete the primality test using LLR2.

For more details, please see the official announcement.

23 Sep 2021 | 15:24:43 UTC · Comment


World Record Generalized Cullen Prime!
On 28 August 2021, 09:10:17 UTC, PrimeGrid’s Generalized Cullen/Woodall Prime Search found the largest known Generalized Cullen prime:

2525532*732525532+1

Generalized Cullen numbers are of the form: n*bn+1. Generalized Cullen numbers that are prime are called Generalized Cullen primes. For more information, please see “Cullen prime” in The Prime Glossary.

The prime is 4,705,888 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 1st for Generalized Cullen primes and 24th overall.

Base 73 was one of 10 primeless Generalized Cullen bases for b ≤121 that PrimeGrid is searching. The remaining bases are 13, 29, 47, 49, 55, 69, 101, 109 & 121.

The discovery was made by Tom Greer (tng) of the United States using an Intel(R) Core(TM) i9-10920X CPU @ 3.50GHz with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 10 hours, 40 minutes to complete the primality test using LLR2. Tom is a member of the Antarctic Crunchers team.

The prime was verified on 28 August 2021, 18:01 UTC, by an Intel(R) Core(TM) i7-9800X CPU @ 3.80GHz with 32GB of RAM, running CentOS. This computer took 3 hours and 39 minutes to complete the primality test using LLR2.

For more details, please see the official announcement.

23 Sep 2021 | 15:16:52 UTC · Comment


Once In A Blue Moon Challenge starts August 12
The sixth challenge of the 2021 Series will be a 10-day challenge leading up to a relatively rare astronomical event called a blue moon. The challenge will be offered on the PSP-LLR application, beginning 12 August 20:00 UTC and ending 22 August 20:00 UTC.

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

For more info, check out the forum thread for this challenge: https://www.primegrid.com/forum_thread.php?id=9720&nowrap=true#151032

Best of luck!
10 Aug 2021 | 5:04:48 UTC · Comment


World Emoji Day Challenge starts July 17th
The fifth challenge of the 2021 Series will be a 3-day challenge in celebration of what is arguably the internet's most momentous and culturally significant holiday: World Emoji Day. The challenge will be offered on the GFN-17-Low subproject, beginning 17 July 22:00 UTC and ending 20 July 22:00 UTC.

To participate in the Challenge, please select only the GFN-17-Low subproject in your PrimeGrid preferences section.

For more info, check out the forum thread for this challenge: https://www.primegrid.com/forum_thread.php?id=9706&nowrap=true#150796

Best of luck!
15 Jul 2021 | 5:23:34 UTC · Comment


DIV Mega Prime! (Belated Posting)
On 1 March 2021, 02:47:51 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

25*2^8788628+1

The prime is 2,645,643 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 75th overall.

The discovery was made by Tom Greer (tng) of the United States using an Authentic AMD Ryzen 9 5950X CPU @ 4.90GHz with 32GB RAM, running Microsoft Windows 10 Professional. This computer took about 2 hours and 46 minutes to complete the primality test using LLR2. Tom Greer is a member of the Antarctic Crunchers team.



For more details, please see the official announcement.
1 Jul 2021 | 19:48:36 UTC · Comment


... more

News is available as an RSS feed   RSS


Newly reported primes

(Mega-primes are in bold.)

133350482^65536+1 (Merimac Strongbottom); 133334188^65536+1 (candido); 207*2^3095391+1 (288larsson); 259*2^3094582+1 (Sashixi); 6387538549845*2^1290000-1 (Beamington); 4975*2^3379420+1 (tng); 93035888^131072+1 (tng); 133271846^65536+1 (Paul Griffin); 256206346^32768+1 (beslade); 6390399990537*2^1290000-1 (Jordan Romaidis); 256089574^32768+1 (beslade); 553*2^3094072+1 (Adrian Schori); 6083*2^1644565+1 (mrzorronator); 133215546^65536+1 (YuW3-810); 6386844891735*2^1290000-1 (NerdGZ); 33732746^131072+1 (o-ando); 133140712^65536+1 (Monkeydee); 133065238^65536+1 (Tuna Ertemalp); 6385210457307*2^1290000-1 (tng); 255851318^32768+1 (Bandwidtheater)

Top Crunchers:

Top participants by RAC

Science United46787714.13
Grzegorz Roman Granowski32127455.03
tng26945414.35
valterc19839618.4
Tuna Ertemalp13594319.03
Scott Brown13094562.47
Nick9218282.63
beslade8084801
vanos05126748317.26
Farscape5856136.98

Top teams by RAC

Antarctic Crunchers45564172.64
The Scottish Boinc Team38243826.09
Aggie The Pew21373153.96
BOINC.Italy20939470.39
Czech National Team20583679.87
BOINC@AUSTRALIA15557829.67
SETI.Germany14376606.58
Microsoft13593896.97
Storm10766908.57
BOINC@Taiwan7480959.31
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