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UTC time 2020-10-31 13:52:29 Powered by BOINC
4 955 735 21 CPU   321 Prime Search (LLR) 1001/1000 User Count 351 284
5 615 168 17 CPU   Cullen Prime Search (LLR) 750/1000 Host Count 618 302
4 544 409 24 CPU   Extended Sierpinski Problem (LLR) 750/2087 Hosts Per User 1.76
2 232 741 74 CPU   Fermat Divisor Search (LLR) 1496/907K Tasks in Progress 136 946
4 280 461 24 CPU   Generalized Cullen/Woodall Prime Search (LLR) 750/1000 Primes Discovered 82 641
6 966 928 13 CPU   Prime Sierpinski Problem (LLR) 400/1894 Primes Reported4 at T5K 29 806
870 653 1001 CPU   Proth Prime Search (LLR) 1498/100K Mega Primes Discovered 547
484 428 0 CPU   Proth Prime Search Extended (LLR) 3994/1369K TeraFLOPS 1 920.709
1 005 121 653 CPU   Proth Mega Prime Search (LLR) 4000/130K
PrimeGrid's 2020 Challenge Series
Évariste Galois Challenge
(IMPORTANT!!!)

Oct 20 06:00:00 to Oct 25 05:59:59 (UTC)


Time until Magellan 500th Anniversary challenge:
Days
Hours
Min
Sec
Standings
Évariste Galois Challenge (PPS-DIV): Individuals | Teams
10 111 018 8 CPU   Seventeen or Bust (LLR) 400/4356
2 248 404 74 CPU   Sierpinski / Riesel Base 5 Problem (LLR) 1500/52K
388 342 5K+ CPU   Sophie Germain Prime Search (LLR) 7443/862K
3 360 136 46 CPU   The Riesel Problem (LLR) 1000/1999
5 759 503 17 CPU   Woodall Prime Search (LLR) 750/1000
  CPU   321 Prime Search (Sieve) 0/
  CPU GPU Proth Prime Search (Sieve) 2472/
272 133 5K+   GPU Generalized Fermat Prime Search (n=15) 992/90K
523 814 2770   GPU Generalized Fermat Prime Search (n=16) 1497/88K
961 110 823 CPU GPU Generalized Fermat Prime Search (n=17 low) 1999/63K
1 035 524 0   GPU Generalized Fermat Prime Search (n=17 mega) 997/64K
1 849 360 115 CPU GPU Generalized Fermat Prime Search (n=18) 1001/23K
3 460 682 37 CPU GPU Generalized Fermat Prime Search (n=19) 1001/16K
6 479 161 13 CPU GPU Generalized Fermat Prime Search (n=20) 1001/6383
12 167 200 7 CPU GPU Generalized Fermat Prime Search (n=21) 402/12K
22 077 052 4 CPU GPU Generalized Fermat Prime Search (n=22) 200/3203
25 013 512 > 1 <   GPU Do You Feel Lucky? 203/1044
  CPU GPU AP27 Search 1309/

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 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 13 August 2020, 17:09:10 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Problem project eliminated k=109838 by finding the mega prime:
109838·53168862-1
The prime is 2,214,945 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 72nd overall and is the largest known base 5 prime. 62 k's now remain in the Riesel Base 5 problem.

The discovery was made by Erik Veit (zombie67 [MM]) of the United States using an AMD Ryzen Threadripper 3970X 32-Core Processor with 63GB RAM, running Linux Mint. This computer took about 6 hours, 14 minutes to complete the primality test using LLR. Erik Veit is a member of SETI.USA.

The prime was verified on 13 August 2020, 22:53:05 UTC by Frederik Schiøler (Soulfly) of Denmark using an Intel(R) Xeon(R) Gold 6140 CPU @ 2.30GHz with 1GB RAM, running Linux Ubuntu. This computer took about 11 hours, 52 minutes to complete the primality test using LLR. Frederik Schiøler is a member of Antarctic Crunchers.

For more information, please see the Official Announcement.


On 29 May 2020, 07:52:25 UTC, PrimeGrid's Generalized Fermat Prime Search found the Mega Prime:
3638450524288+1
The prime is 3,439,810 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 3rd for Generalized Fermat primes and 35th overall.

The discovery was made by Wolfgang Schwieger (DeleteNull) of Germany using a GeForce RTX 2070 in an AMD Ryzen 7 3700X 8-Core Processor with 16GB RAM, running Linux openSUSE. This GPU took about 31 minutes to complete the probable prime (PRP) test using GeneferOCL5. Wolfgang Schwieger is a member of the SETI.Germany team.

The PRP was verified on 29 May 2020, 08:23:51 UTC by Greg Miller (Olgar) of the United States using an AMD Ryzen Threadripper 2990WX 32-Core Processor with 128GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 hour, 3 minutes to complete the probable prime (PRP) test using GeneferOCL5. Greg Miller is a member of the USA team.

The PRP was confirmed prime by an Intel(R) Xeon(R) CPU E3-1240 v6 @ 3.70GHz with 4GB RAM, running Linux Debian. This computer took about 1 day, 19 hours, 22 minutes to complete the primality test using LLR.

For more information, please see the Official Announcement.


On 1 May 2020, 04:01:08 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Problem project eliminated k=118568 by finding the mega prime:
118568·53112069+1
The prime is 2,175,248 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 70th overall and is the largest known base 5 prime. 30 k's now remain in the Sierpinski Base 5 problem.

The discovery was made by Honza Cholt (Honza) of the Czech Republic using an Intel(R) Core(TM) i7-9700K CPU @ 3.60GHz with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 49 minutes to complete the primality test using LLR. Honza Cholt is a member of Czech National Team.

The prime was verified on 2 May 2020, 09:00:41 UTC by Tom Murphy VII (brighterorange) of the United States using a gfx1010 in an AMD FX-8370 Eight-Core Processor with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 day, 1 hour, 55 minutes to complete the primality test using LLR.

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

3638450524288+1 (GFN): official announcement | Generalized Fermat Prime
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

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

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

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

How About One More DIV Mega Prime!
On 25 October 2020, 00:52:15 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

15*2^7300254+1

The prime is 2,197,597 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 75th overall.

The discovery was made by Robert Gelhar (Gelly) 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, 24 minutes to complete the primality test using LLR. Robert Gelhar is a member of the Antarctic Crunchers team.


For more details, please see the official announcement.

27 Oct 2020 | 17:00:34 UTC · Comment


And Another DIV Mega Prime!
On 24 October 2020, 22:53:39 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

19*2^6833086+1

The prime is 2,056,966 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 94th overall.

The discovery was made by Jiri Jaros (Venec) of the Czech Republic using an Intel(R) Xeon(R) CPU E5-2620 v3 @ 2.40GHz with 8GB RAM, running Linux Ubuntu. This computer took about 7 hours, 27 minutes to complete the primality test using LLR. Jiri Jaros is a member of the Czech National Team team.


For more details, please see the official announcement.

27 Oct 2020 | 16:53:44 UTC · Comment


Another DIV Mega Prime!
On 20 October 2020, 19:06:13 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

39*2^6684941+1

The prime is 2,012,370 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 97th overall.

The discovery was made by Mike Thümmler (fnord) of Germany using an AMD Ryzen 5 1600X Six-Core Processor with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 4 hours to complete the primality test using LLR. Mike Thümmler is a member of the SETI.Germany team.


For more details, please see the official announcement.

27 Oct 2020 | 14:49:48 UTC · Comment


New DIV Mega Prime!
On 20 October 2020, 13:22:13 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

39*2^6648997+1

The prime is 2,001,550 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 99th 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 2 hours, 38 minutes to complete the primality test using LLR. Tom Greer is a member of the Antarctic Crunchers team.


For more details, please see the official announcement.
27 Oct 2020 | 14:40:46 UTC · Comment


Évariste Galois Challenge starts TOMORROW, October 20th
The seventh challenge of the 2020 Series will be a 5-day challenge celebrating the 209th birthday of Évariste Galois, French mathematician and political activist. The challenge will be offered on the PPS-DIV (LLR) application, beginning 20 October 06:00 UTC and ending 25 October 06:00 UTC.

To participate in the Challenge, please select only the Fermat Divisor Search LLR (PPS-DIV) project in your PrimeGrid preferences section. Work units which are downloaded and completed during the challenge will count towards your challenge score.

Note: This will be our first challenge using LLR2, which eliminates the need for a full doublecheck task on each workunit, but replaces it with a short verification task. Expect to receive a few tasks about 1% of normal length. Please see this important warning about task bunkering.

Riddles? Requests? Reservations? Tell us in the forum thread for this challenge. Best of luck!
19 Oct 2020 | 3:12:36 UTC · Comment


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Newly reported primes

(Mega-primes are in bold.)

201740626^32768+1 (lashrasch); 5673573152277*2^1290000-1 (Rezboun); 201685334^32768+1 (Renix); 5674288926267*2^1290000-1 (Krzysiak_PL_GDA); 79428414^131072+1 (Kouhki); 201592624^32768+1 (Bandwidtheater); 5675966585007*2^1290000-1 (Renix); 5675168804697*2^1290000-1 (Adrian Schori); 3*2^16408818+1 (Scott Brown); 3597*2^1609094+1 (Randall J. Scalise); 201530518^32768+1 (Renix); 79383608^131072+1 (vaughan); 29*2^7374577+1 (Pavel Atnashev); 9573*2^1608968+1 (larrys); 201345470^32768+1 (Johny); 627*2^2891514+1 (J PEEPZ); 5670583861815*2^1290000-1 (Todderbert); 5669049079977*2^1290000-1 (Charles Jackson); 5668570642215*2^1290000-1 (YuW3-810); 5668257995235*2^1290000-1 (No_Name)

Top Crunchers:

Top participants by RAC

Miklos M.13571721.62
Ryan Dark13040555.23
Science United12305754.94
tng10157023.22
Grzegorz Roman Granowski9689946.48
Syracuse University9595931.53
Megacruncher7682339.56
Scott Brown6707127.55
DeleteNull6545264.55
Jesmar5910672.98

Top teams by RAC

The Scottish Boinc Team37156865.84
Antarctic Crunchers25860485.68
SETI.Germany18349078.57
Aggie The Pew17906512.44
GoEngineer Inc.13038992.88
Sicituradastra.10183347.01
Team 2ch9697267.16
Czech National Team9593502.85
Storm7920930.59
Team China6978626.84
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