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UTC time 2020-04-07 20:43:50 Powered by BOINC
4 742 264 20 CPU   321 Prime Search (LLR) 1001/1000 User Count 350 099
5 432 797 17 CPU   Cullen Prime Search (LLR) 750/1000 Host Count 591 442
4 299 640 20 CPU   Extended Sierpinski Problem (LLR) 750/2632 Hosts Per User 1.69
1 766 106 115 CPU   Fermat Divisor Search (LLR) 4001/1791K Tasks in Progress 113 686
4 103 302 24 CPU   Generalized Cullen/Woodall Prime Search (LLR) 1024/1000 Primes Discovered 81 541
6 737 100 13 CPU   Prime Sierpinski Problem (LLR) 750/1313 Primes Reported4 at T5K 29 410
860 797 906 CPU   Proth Prime Search (LLR) 3998/200K Mega Primes Discovered 478
475 071 3814 CPU   Proth Prime Search Extended (LLR) 4002/234K TeraFLOPS 1 714.499
1 003 205 600 CPU   Proth Mega Prime Search (LLR) 3988/175K
PrimeGrid's 2020 Challenge Series
Sophie Germain's Birthday Challenge
Apr 1 12:00:00 to Apr 4 11:59:59 (UTC)


Time until Top Gun Maverick challenge:
Days
Hours
Min
Sec
Standings
Sophie Germain's Birthday Challenge (SGS-LLR): Individuals | Teams
9 848 879 8 CPU   Seventeen or Bust (LLR) 421/2976
2 163 448 70 CPU   Sierpinski / Riesel Base 5 Problem (LLR) 2000/2277
388 342 5K+ CPU   Sophie Germain Prime Search (LLR) 7373/667K
3 045 604 48 CPU   The Riesel Problem (LLR) 1001/2000
5 598 187 17 CPU   Woodall Prime Search (LLR) 753/1000
  CPU   321 Prime Search (Sieve) 7486/
  CPU GPU Proth Prime Search (Sieve) 3979/
269 443 5K+   GPU Generalized Fermat Prime Search (n=15) 985/217K
521 885 2603   GPU Generalized Fermat Prime Search (n=16) 3999/146K
954 229 732 CPU GPU Generalized Fermat Prime Search (n=17 low) 1999/56K
1 030 962 407   GPU Generalized Fermat Prime Search (n=17 mega) 996/80K
1 837 682 100 CPU GPU Generalized Fermat Prime Search (n=18) 1000/39K
3 434 970 35 CPU GPU Generalized Fermat Prime Search (n=19) 1000/5425
6 434 640 13 CPU GPU Generalized Fermat Prime Search (n=20) 1001/4749
12 075 313 7 CPU GPU Generalized Fermat Prime Search (n=21) 504/4801
21 940 792 4 CPU GPU Generalized Fermat Prime Search (n=22) 204/5816
24 969 953 > 1 <   GPU Do You Feel Lucky? 201/2309
  CPU GPU AP27 Search 1965/

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.
2First "Available Tasks" number (A) is the number of tasks immediately available to send.
3Second "Available Tasks" number (B) is additional prime candidates that have not yet been turned into workunits. Underlined work is loaded manually. If the first number (A) is 0, something is broken. If both numbers are 0, we've run out of work. Two tasks (A) are generated automatically from each prime candidate (B) when needed, so the total number of tasks available without manual intervention is A+2*B. 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.
4Includes all primes ever reported by PrimeGrid to Top 5000 Primes list. Many of these are no longer in the top 5000.

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 as a Titan!

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.
  • 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 Prime Sierpinski Project solve the Prime Sierpinski Problem.
  • Proth Prime Search: searching for primes of the form k·2n+1.
  • 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.
   You can choose the projects you would like to run by going to the project preferences page.

Recent Significant Primes


On 16 March 2020, 08:21:46 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Problem project eliminated k=207494 by finding the mega prime:
207494·53017502-1
The prime is 2,109,149 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 75th overall and is the largest known base 5 prime. 63 k's now remain in the Riesel Base 5 problem.

The discovery was made by Todd Pickering (EXT64) of the United States using an AMD EPYC 7601 32-Core Processor with 126GB RAM, running Linux Ubuntu. This computer took about 1 day, 17 hours, 59 minutes to complete the primality test using LLR. Todd Pickering is a member of [H]ard|OCP.

The prime was verified internally using an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 32GB RAM, running Linux Debian.

For more information, please see the Official Announcement.


On 12 March 2020, 19:16:51 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Problem project eliminated k=238694 by finding the mega prime:
238694·52979422-1
The prime is 2,082,532 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 76th overall and is the largest known base 5 prime. 64 k's now remain in the Riesel Base 5 problem.

The discovery was made by Chris Howell (Khali) of the United States using an Intel(R) Core(TM) i9-9900K CPU @ 3.60GHz with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 5 hours, 56 minutes to complete the primality test using LLR. Chris Howell is a member of Crunching@EVGA.

The prime was verified on 13 March 2020, 21:25:52 UTC by Yuki Yoshigoe (SAKAGE@AMD@jisaku) of Japan using an AMD Ryzen Threadripper 3970X 32-Core Processor with 128GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 day, 5 hours, 24 minutes to complete the primality test using LLR. Yuki Yoshigoe is a member of Team 2ch.

For more information, please see the Official Announcement.


On 9 March 2020, 21:32:46 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Problem project eliminated k=146264 by finding the mega prime:
146264·52953282-1
The prime is 2,064,261 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 74th overall and is the largest known base 5 prime. 65 k's now remain in the Riesel Base 5 problem.

The discovery was made by Wolfgang Schwieger (DeleteNull) of Germany using an Intel(R) Core(TM) i5-8600K CPU @ 3.60GHz with 8GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 6 hours, 25 minutes to complete the primality test using LLR. Wolfgang Schwieger is a member of SETI.Germany.

The prime was verified internally using an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 32GB RAM, running Linux Debian.

For more information, please see the Official Announcement.


On 5 March 2020, 14:40:22 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Problem project eliminated k=35816 by finding the mega prime:
35816·52945294-1
The prime is 2,058,677 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 73rd overall and is the largest known base 5 prime. 66 k's now remain in the Riesel Base 5 problem.

The discovery was made by Pavel Atnashev (Pavel Atnashev) of Russia using an Intel(R) Xeon(R) E5-2660 v2 CPU @ 2.20GHz with 8GB RAM running Linux. This computer took about 3 hours 56 minutes to complete the primality test using LLR. Pavel Atnashev is a member of the Ural Federal University team.

The prime was verified on 6 March 2020, 21:41:36 UTC by John Hall (JH30895) of the United States using an Intel(R) Xeon(R) W-3245 CPU @ 3.20GHz with 385GB RAM, running Darwin 19.3.0. This computer took about 1 day, 7 hours 33 minutes to complete the primality test using LLR. John Hall is a member of the Antarctic Crunchers team.

For more information, please see the Official Announcement.


Other significant primes


3·211895718-1 (321): official announcement | 321
3·211731850-1 (321): official announcement | 321
3·211484018-1 (321): official announcement | 321
3·210829346+1 (321): official announcement | 321
3·27033641+1 (321): official announcement | 321

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
121·24553899-1 (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

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
9·22543551+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
3214654524288+1 (GFN): official announcement | Generalized Fermat Prime
2985036524288+1 (GFN): official announcement | Generalized Fermat Prime
2877652524288+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

1155·23455254+1 (PPS-Mega): official announcement | Mega Prime
1065·23447906+1 (PPS-Mega): official announcement | Mega Prime
1155·23446253+1 (PPS-Mega): official announcement | Mega Prime
943·23442990+1 (PPS-Mega): official announcement | Mega Prime
943·23440196+1 (PPS-Mega): official announcement | Mega 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 | SGS
18543637900515·2666667-1 (SGS), 18543637900515·2666668-1 (2p+1): official announcement | SGS
3756801695685·2666669±1 (SGS): official announcement | Twin
65516468355·2333333±1 (TPS): official announcement | Twin

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
35816·52945294-1 (SR5): official announcement | k=35816 eliminated
322498·52800819-1 (SR5): official announcement | k=322498 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
304207·26643565-1 (TRP): official announcement | k=304207 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

And Another SR5 Mega Prime!
On 16 March 2020, 08:21:46, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=207494 by finding the mega prime:

207494*5^3017502-1

The prime is 2,109,149 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 75th overall and is the largest known base 5 prime. 63 k’s now remain in the Riesel Base 5 problem.

The discovery was made by Todd Pickering (EXT64) of Germany using an the United States using an AMD EPYC 7601 32-Core Processor with 126GB RAM, running Linux Ubuntu. This computer took about 1 day, 17 hours, 59 minutes to complete the primality test using LLR. Todd Pickering is a member of the [H]ard|OCP team.

The prime was verified internally using an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 32GB RAM, running Linux Debian.

For more details, please see the official announcement.

31 Mar 2020 | 14:55:09 UTC · Comment


Another SR5 Mega Prime!
On 12 March 2020, 19:16:51 UTC, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=238694 by finding the mega prime:

238694*5^2979422-1

The prime is 2,082,532 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 76th overall and is the largest known base 5 prime. 64 k’s now remain in the Riesel Base 5 problem.

The discovery was made by Chris Howell (Khali) of the United States using an Intel(R) Core(TM) i9-9900K CPU @ 3.60GHz with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 5 hours, 56 minutes to complete the primality test using LLR. Chris Howell is a member of the Crunching@EVGA team.

The prime was verified on 13 March 2020, 21:25:52 UTC by Yuki Yoshigoe (SAKAGE@AMD@jisaku) of Japan using an AMD Ryzen Threadripper 3970X 32-Core Processor with 128GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 day, 5 hours, 24 minutes to complete the primality test using LLR. Yuki Yoshigoe is a member of the Team 2ch team.

For more details, please see the official announcement.

31 Mar 2020 | 14:49:08 UTC · Comment


SR5 Mega Prime!
On 9 March 2020, 21:32:46, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=146264 by finding the mega prime:

146264*5^2953282-1

The prime is 2,064,261 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 74th overall and is the largest known base 5 prime. 65 k’s now remain in the Riesel Base 5 problem.

The discovery was made by Wolfgang Schwieger (DeleteNull) of Germany using an Intel(R) Core(TM) i5-8600K CPU @ 3.60GHz with 8GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 6 hours, 25 minutes to complete the primality test using LLR. Wolfgang Schwieger is a member of the SETI.Germany team.

The prime was verified internally using an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 32GB RAM, running Linux Debian.

For more details, please see the official announcement.

31 Mar 2020 | 14:40:54 UTC · Comment


Sophie Germain's Birthday Challenge
In honor of the 244th birthday of Marie-Sophie Germain, French mathematician and namesake of the Sophie Germain Prime Search subproject, PrimeGrid will be running a 3-day SGS challenge from 1 April 12:00 UTC to 4 April 12:00 UTC!

It's been 4 years since we've found a twin or Sophie Germain prime, perhaps it's time to end the drought!

Inquiries? Interjections? Discuss in the forum post for the challenge: https://www.primegrid.com/forum_thread.php?id=9086
29 Mar 2020 | 5:35:44 UTC · Comment


SR5 Mega Prime!
On 5 March 2020, 14:40:22 UTC, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=35816 by finding the mega prime:

35816*5^2945294-1

The prime is 2,058,677 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 73rd overall and is the largest known base 5 prime. 66 k’s now remain in the Riesel Base 5 problem.

The discovery was made by Pavel Atnashev (Pavel Atnashev) of Russia using an Intel(R) Xeon(R) E5-2660 v2 CPU @ 2.20GHz with 8GB RAM running Linux. This computer took about 3 hours 56 minutes to complete the primality test using LLR. Pavel Atnashev is a member of the Ural Federal University team.

The prime was verified on 6 March 2020, 21:41:36 UTC by John Hall (JH30895) of the United States using an Intel(R) Xeon(R) W-3245 CPU @ 3.20GHz with 385GB RAM, running Darwin 19.3.0. This computer took about 1 day, 7 hours 33 minutes to complete the primality test using LLR. John Hall is a member of the Antarctic Crunchers team.

For more details, please see the official announcement.

11 Mar 2020 | 1:13:15 UTC · Comment


... more

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Newly reported primes

(Mega-primes are in bold.)

5214815864307*2^1290000-1 (Nita); 5213897127915*2^1290000-1 (jpldcon4); 5211691109277*2^1290000-1 (Scott Brown); 5202603373935*2^1290000-1 (tng); 5209874435997*2^1290000-1 (tng); 5208873495465*2^1290000-1 (Scott Brown); 5207886989727*2^1290000-1 (vaughan); 5204122414125*2^1290000-1 (Scott Brown); 5207787014967*2^1290000-1 (darkclown); 5207716075767*2^1290000-1 (Scott Brown); 5205242494377*2^1290000-1 (Adrian Schori); 5205095447055*2^1290000-1 (Scott Brown); 5204932523817*2^1290000-1 (vaughan); 5204091582375*2^1290000-1 (tng); 5203291236297*2^1290000-1 (darkclown); 5192894268807*2^1290000-1 (tng); 5200712319015*2^1290000-1 (tng); 5200986771717*2^1290000-1 (tng); 166745070^32768+1 (Spear); 5199775962537*2^1290000-1 (Andri Martinelli)

Top Crunchers:

Top participants by RAC

Rick Reynolds16533418.26
Miklos M.16116342.97
Ryan Dark9641518.73
tng8133562.13
Robish5042643.39
sangis434950661.58
EvelynChen4688741.92
Woodles4520028.01
Scott Brown4371111.24
Sean3782506.94

Top teams by RAC

Aggie The Pew35118176.09
HUNGARY - HAJRA MAGYARORSZAG! HAJRA MAGYAROK!16275882.62
SETI.Germany15554085.95
Sicituradastra.13821303.62
Team 2ch10675666.7
Czech National Team9897386.38
BOINC@Taiwan9792261.52
GoEngineer Inc.9641237.51
Antarctic Crunchers8974826.4
Storm8164142.32
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