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    A2 / B3,4,5
UTC time 2021-10-20 14:35:36 Powered by BOINC
5 394 511 18 CPU F MT   321 Prime Search (LLR) 1006/1000 User Count 352 488
6 438 551 13 CPU F MT   Cullen Prime Search (LLR) 849/1000 Host Count 664 482
6 306 009 15 CPU F MT   Extended Sierpinski Problem (LLR) 750/26K Hosts Per User 1.89
4 860 669 24 CPU F MT   Generalized Cullen/Woodall Prime Search (LLR) 7500/4939 Tasks in Progress 169 084
8 028 818 11 CPU F MT   Prime Sierpinski Problem (LLR) 616/8831 Primes Discovered 85 041
935 464 1303 CPU F MT   Proth Prime Search (LLR) 1501/267K Primes Reported6 at T5K 30 926
495 966 4714 CPU MT   Proth Prime Search Extended (LLR) 3970/309K Mega Primes Discovered 807
1 018 182 723 CPU F MT   Proth Mega Prime Search (LLR) 4012/81K TeraFLOPS 2 994.904
11 044 093 8 CPU F MT   Seventeen or Bust (LLR) 412/3280
PrimeGrid's 2021 Challenge Series
Martin Gardner's Birthday Challenge
Oct 21 00:00:00 to Oct 27 23:59:59 (UTC)


Time until Martin Gardner's Birthday challenge:
Days
Hours
Min
Sec
Standings
Once In a Blue Moon Challenge (PSP-LLR): Individuals | Teams
2 412 871 96 CPU F MT   Sierpinski / Riesel Base 5 Problem (LLR) 1534/29K
388 342 5K+ CPU MT   Sophie Germain Prime Search (LLR) 7423/134K
3 614 093 44 CPU F MT   The Riesel Problem (LLR) 1002/2000
6 176 656 16 CPU F MT   Woodall Prime Search (LLR) 776/1000
  CPU GPU Proth Prime Search (Sieve) 2491/
275 713 5K+   GPU Generalized Fermat Prime Search (n=15) 982/256K
532 829 3329 CPU GPU Generalized Fermat Prime Search (n=16) 1497/407K
987 930 1157 CPU GPU Generalized Fermat Prime Search (n=17 low) 2001/70K
1 044 932 511 CPU GPU Generalized Fermat Prime Search (n=17 mega) 999/26K
1 874 691 176 CPU GPU Generalized Fermat Prime Search (n=18) 999/50K
3 492 884 48 CPU GPU Generalized Fermat Prime Search (n=19) 1002/15K
6 573 988 13 CPU GPU Generalized Fermat Prime Search (n=20) 1000/6498
12 277 966 7 CPU MT-A GPU Generalized Fermat Prime Search (n=21) 401/15K
22 315 096 4   GPU Generalized Fermat Prime Search (n=22) 200/3220
25 057 910 > 1 <   GPU Do You Feel Lucky? 201/478
  CPU MT GPU AP27 Search 1495/
  CPU MT GPU Wieferich and Wall-Sun-Sun Prime Search 988/

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 6 September 2021, 07:16:28 UTC, PrimeGrid's 321 Search found the Mega Prime
3·217748034-1
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 and 41 minutes to complete the primality test using LLR2. Marc Wiseler is a member of the Storm team.

For more information, please see the Official Announcement.


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
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.

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 and 40 minutes to complete the primality test using LLR2. Tom Greer 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 information, please see the Official Announcement.


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.


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

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

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

Martin Gardner's Birthday Challenge starts October 21
The seventh challenge of the 2021 Series will be a 7-day challenge in celebration of the 107th (prime number!) birthday of beloved American science communicator, Martin Gardner. The challenge will be offered on the GCW-LLR application, beginning 21 October 00:00 UTC and ending 28 October 00:00 UTC.

To participate in the Challenge, please select only the Generalized Cullen/Woodall Prime Search LLR (GCW) 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=9767&nowrap=true#151803

Best of luck!
18 Oct 2021 | 21:43:24 UTC · Comment


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


... more

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Newly reported primes

(Mega-primes are in bold.)

6518208159615*2^1290000-1 (akeda); 6516238784247*2^1290000-1 (Gibson Praise); 6516870384117*2^1290000-1 (sams88); 134719104^65536+1 (K. Takashita-Bynum); 259286492^32768+1 (Chris); 134819600^65536+1 (K. Takashita-Bynum); 4871*2^1647283+1 (zombie67 [MM]); 8787*2^1647272+1 (zombie67 [MM]); 2709*2^1647253+1 (tng); 5673*2^1647149+1 (zombie67 [MM]); 4545*2^1647126+1 (Charles Jackson); 6515527881735*2^1290000-1 (YuW3-810); 6513754883667*2^1290000-1 (Rafael); 259205252^32768+1 (EmmettDe); 6508871247597*2^1290000-1 (Yegor001); 259173320^32768+1 (Monkeydee); 259153304^32768+1 (Monkeydee); 6511273477467*2^1290000-1 (Honza); 6508112203257*2^1290000-1 (DeleteNu|l); 6510945972417*2^1290000-1 (Honza)

Top Crunchers:

Top participants by RAC

tng44386875.53
Tuna Ertemalp38825778.45
Grzegorz Roman Granowski32902476.98
valterc22671637.09
Miklos M.20883728.24
Science United18286151.12
ian13621743.9
Scott Brown13059229.94
SolidAir7911567380.87
DeleteNull10491556.12

Top teams by RAC

The Scottish Boinc Team84994306.91
Antarctic Crunchers61288145.99
Microsoft38825186.09
SETI.Germany27688769.02
BOINC.Italy24293582.75
Aggie The Pew20883752.99
BOINC@AUSTRALIA17769001.08
Czech National Team16784540.73
Storm12538248.72
Dutch Power Cows11136430.83
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