PrimeGrid
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Digits
Prime
Rank1

App Types

Sub-Project
Available Tasks
    A2 / B3,4,5
UTC time 2021-03-05 01:14:15 Powered by BOINC
5 125 557 20 CPU F MT   321 Prime Search (LLR) 1000/1000 User Count 351 813
6 214 970 16 CPU F MT   Cullen Prime Search (LLR) 752/1000 Host Count 640 383
5 075 504 21 CPU F MT   Extended Sierpinski Problem (LLR) 749/2964 Hosts Per User 1.82
2 662 786 74 CPU F MT   Fermat Divisor Search (LLR) (Ending soon.) 1485/87K Tasks in Progress 166 925
4 442 571 25 CPU F MT   Generalized Cullen/Woodall Prime Search (LLR) 754/1000 Primes Discovered 83 751
7 142 374 13 CPU F MT   Prime Sierpinski Problem (LLR) 400/714 Primes Reported6 at T5K 30 438
897 903 1137 CPU F MT   Proth Prime Search (LLR) 1506/222K Mega Primes Discovered 678
492 165 4254 CPU MT   Proth Prime Search Extended (LLR) 3996/644K TeraFLOPS 3 312.621
1 010 949 705 CPU F MT   Proth Mega Prime Search (LLR) 4004/84K
PrimeGrid's 2021 Challenge Series
Sier"pi"nski's Birthday Challenge
Mar 14 12:00:00 to Mar 24 11:59:59 (UTC)


Time until Sier"pi"nski's Birthday challenge:
Days
Hours
Min
Sec
Standings
Good Riddance 2020! Challenge (PPS-DIV): Individuals | Teams
Tour de Primes: Results
Tour de Primes (just for fun): Double Checker Results
10 361 196 8 CPU F MT   Seventeen or Bust (LLR) 1314/6330
2 297 042 96 CPU F MT   Sierpinski / Riesel Base 5 Problem (LLR) 1506/7461
388 342 5K+ CPU MT   Sophie Germain Prime Search (LLR) 7466/822K
3 463 074 41 CPU F MT   The Riesel Problem (LLR) 1001/2000
6 274 701 15 CPU F MT   Woodall Prime Search (LLR) 754/1000
  CPU GPU Proth Prime Search (Sieve) 2452/
273 662 5K+   GPU Generalized Fermat Prime Search (n=15) 977/170K
530 176 2955 CPU GPU Generalized Fermat Prime Search (n=16) 1494/408K
966 823 982 CPU GPU Generalized Fermat Prime Search (n=17 low) 2000/27K
1 041 079 470 CPU GPU Generalized Fermat Prime Search (n=17 mega) 995/44K
1 866 794 149 CPU GPU Generalized Fermat Prime Search (n=18) 1000/42K
3 484 150 41 CPU GPU Generalized Fermat Prime Search (n=19) 1001/11K
6 557 826 13 CPU GPU Generalized Fermat Prime Search (n=20) 1001/8898
12 218 350 7 CPU MT-A GPU Generalized Fermat Prime Search (n=21) 400/5404
22 178 123 4   GPU Generalized Fermat Prime Search (n=22) 200/1159
25 034 478 > 1 <   GPU Do You Feel Lucky? 202/867
  CPU MT GPU AP27 Search 1296/
  CPU MT GPU Wieferich and Wall-Sun-Sun Prime Search 984/

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 27 January 2021, 17:13:11 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime
25·28456828+1
The prime is 2,545,761 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 74th overall.

The discovery was made by Wolfgang Schwieger (DeleteNull) of Germany using an AMD Ryzen 7 3700X 8-Core Processor with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 hour, 20 minutes to complete the primality test using LLR2. Wolfgang Schwieger is a member of the SETI.Germany team.

For more information, please see the Official Announcement.


On 23 January 2021, 03:37:22 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime
39·28413422+1
The prime is 2,532,694 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 74th overall.

The discovery was made by Philipp Bliedung (pabliedung) using an Intel(R) Xeon(R) Gold 6140 CPU @ 2.30GHz with 1GB RAM, running Linux Ubuntu. This computer took about 2 hours, 5 minutes to complete the primality test using LLR2. Philipp Bliedung is a member of the USA team.

For more information, please see the Official Announcement.


On 20 January 2021, 11:58:27 UTC, PrimeGrid's 321 Search found the Mega Prime
3·216819291-1
The prime is 5,063,112 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 21st overall.

The discovery was made by Rudi Tapper (ruditapper) of the United Kingdom using an AMD Ryzen Threadripper 3990X 64-Core Processor with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 5 hours, 40 minutes to complete the primality test using LLR2. Rudi Tapper is a member of the Antarctic Crunchers team.

For more information, please see the Official Announcement.


On 19 January 2021, 15:48:46 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime
31·28348000+1
The prime is 2,513,000 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 73rd overall.

The discovery was made by Igor Karpenko (A1ex01) of Ukraine using an Intel(R) Core(TM) i5-8400 CPU @ 2.80GHz with 4GB RAM, running Linux. This computer took about 2 hours, 52 minutes to complete the primality test using LLR2. Igor Karpenko is a member of the Ukraine team.

For more information, please see the Official Announcement.


On 14 January 2021, 18:15:44 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime
27·27963247+1 Divides F(7963245)
The prime is 2,397,178 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 74th overall. This is ranked 2nd for prime Fermat divisors, and it is also ranked 2nd for "weighted" prime Fermat divisors.

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 3 hours, 58 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 14 January 2021, 14:16:38 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime
39·27946769+1
The prime is 2,392,218 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 74th overall.

The discovery was made by Scott Brown (Scott Brown) of the United States using an Intel(R) Xeon(R) CPU E5-2697 v2 @ 2.70GHz with 120GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 4 hours, 15 minutes to complete the primality test using LLR2. Scott Brown is a member of the Aggie The Pew team.

For more information, please see the Official Announcement.


On 14 January 2021, 04:06:53 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime
29·27899985+1
The prime is 2,378,134 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) Core(TM) i7-5820K CPU @ 3.30GHz with 16GB RAM, running Microsoft Windows 10 Core x64 Edition. This computer took about 2 hours, 1 minute 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 13 December 2020, 16:07:34 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:
45·27661004+1
The prime is 2,306,194 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 77th overall.

The discovery was made by Tim Terry (TimT) of the United States using an Intel(R) Xeon(R) CPU E5-2670 0 @ 2.60GHz with 32GB RAM, running Linux Fedora. This computer took about 1 hour, 10 minutes to complete the primality test using LLR2. Tim Terry is a member of the Aggie The Pew team.

For more information, please see the Official Announcement.


On 6 December 2020, 02:07:48 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:
15·27619838+1
The prime is 2,293,801 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 78th overall.

The discovery was made by an anonymous user of China using an Intel(R) Core(TM) i5-4590 CPU @ 3.30GHz with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 2 hours to complete the primality test using LLR2.

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

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
27·24542344-1 (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

25·28456828+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
39·27946769+1 (PPS-DIV): official announcement | Top 100 Prime
29·27899985+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

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
40597·26808509-1 (TRP): official announcement | k=40597 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

DIV Mega Prime!
On 17 February 2021, 14:27:08 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

17*2^8636199+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 details, please see the official announcement.

3 Mar 2021 | 19:44:34 UTC · Comment


TRP Mega Prime!
On 7 February 2021, 18:01:10 UTC, PrimeGrid’s The Riesel Problem project eliminated k=9221 by finding the mega prime:

9221*2^11392194-1

The prime is 3,429,397 digits long and will enter 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 details, please see the official announcement.

3 Mar 2021 | 19:38:29 UTC · Comment


New 27 Mega Prime!
On 01 February 2021 UTC, PrimeGrid’s 27121 Prime Search, through PRPNet found the mega prime:

27*2^8342438-1

The prime is 2,511,326 digits long and will enter Chris Caldwell's The Largest Known Primes Database ranked 77th overall.

The discovery was made by Andrew M. Farrow (Nortech) of Australia using an Intel(R) Core(TM) i3-4170 CPU @ 3.70GHz with 4GB RAM, running Linux. This computer took just over 3 hours 19 minutes to complete the primality test using LLR.

The prime was verified on 01 February 2021, 15:42:26 UTC, by an Intel(R) Core(TM) i7-8550U CPU @ 1.80GHz with 8 GB RAM, running Linux Manjaro. This computer took just under 2 hours 19 minutes to complete the primality test using LLR.

For more details, please see the official announcement.
3 Mar 2021 | 19:32:41 UTC · Comment


Another DIV Mega Prime!
On 27 January 2021, 17:13:11 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

25*2^8456828+1

The prime is 2,545,761 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 74th overall.

The discovery was made by Wolfgang Schwieger (DeleteNull) of Germany using an AMD Ryzen 7 3700X 8-Core Processor with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 hour, 20 minutes to complete the primality test using LLR2. Wolfgang Schwieger is a member of the SETI.Germany team.

For more details, please see the official announcement.
1 Feb 2021 | 15:37:44 UTC · Comment


And Another DIV Mega Prime!
On 23 January 2021, 03:37:22 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

39*2^8413422+1

The prime is 2,532,694 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 74th overall.

The discovery was made by Philipp Bliedung (pabliedung) using an Intel(R) Xeon(R) Gold 6140 CPU @ 2.30GHz with 1GB RAM, running Linux Ubuntu Ubuntu 18.04.3 LTS [4.15.0-72-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]. This computer took about 2 hours, 5 minutes to complete the primality test using LLR2. Philipp Bliedung is a member of the USA team.

For more details, please see the official announcement.

1 Feb 2021 | 15:13:44 UTC · Comment


... more

News is available as an RSS feed   RSS


Newly reported primes

(Mega-primes are in bold.)

122938900^65536+1 (Archon_Hicks); 5982333914487*2^1290000-1 (Krzysiak_PL_GDA); 5971292093595*2^1290000-1 (jhwells); 224504288^32768+1 (Qazort); 5187*2^1634842+1 (Todderbert); 5980778632155*2^1290000-1 (Krzysiak_PL_GDA); 5978026583235*2^1290000-1 (mrzorronator); 122873426^65536+1 (Olgar); 1033*2^2980962+1 (Michael Thanry); 224320596^32768+1 (Tomiticus); 224272408^32768+1 (Johny); 5978342141457*2^1290000-1 (Krzysiak_PL_GDA); 87547832^131072+1 (DeleteNull); 5978255175417*2^1290000-1 (spnorton); 122809274^65536+1 (CelticNinja); 5977916328195*2^1290000-1 (vaughan); 224057990^32768+1 (WezH); 224029504^32768+1 (SEARCHER); 5971610012667*2^1290000-1 (Yegor001); 5972959488597*2^1290000-1 (vaughan)

Top Crunchers:

Top participants by RAC

Syracuse University102778500.09
Science United48824404.78
Grzegorz Roman Granowski32050316.51
tng24774137.03
CoolAtchOk12161314.64
Homefarm11357886.18
vaughan10587172.93
Miklos M.10516034.06
RaymondFO*9385631.25
KajakDC7695908.09

Top teams by RAC

Antarctic Crunchers41078237.6
Save The World Real Estates32044007.54
SETI.Germany28792406.59
Aggie The Pew27300792.11
Sicituradastra.20969644.77
L'Alliance Francophone17904798.67
Czech National Team15136102.12
UK BOINC Team13677202.92
Team 2ch13535934.4
The Scottish Boinc Team13424635.29
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