PrimeGrid
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Digits
Prime
Rank1

App Types

Sub-Project
Available Tasks
A2 / B3
UTC time 2020-11-25 15:05:43 Powered by BOINC
4 999 400 21 CPU   321 Prime Search (LLR) 1019/1000 User Count 351 363
5 944 601 16 CPU   Cullen Prime Search (LLR) 1034/3433 Host Count 621 454
4 575 397 24 CPU   Extended Sierpinski Problem (LLR) 752/1957 Hosts Per User 1.77
2 282 211 75 CPU   Fermat Divisor Search (LLR) 1537/813K Tasks in Progress 152 898
4 308 169 24 CPU   Generalized Cullen/Woodall Prime Search (LLR) 754/1000 Primes Discovered 82 747
6 999 032 13 CPU   Prime Sierpinski Problem (LLR) 407/1802 Primes Reported4 at T5K 29 840
873 656 1018 CPU   Proth Prime Search (LLR) 1496/295K Mega Primes Discovered 561
484 891 3920 CPU   Proth Prime Search Extended (LLR) 4001/1174K TeraFLOPS 2 301.300
1 005 592 657 CPU   Proth Mega Prime Search (LLR) 4008/182K
PrimeGrid's 2020 Challenge Series
Magellan 500th Anniversary
Challenge

Nov 18 18:00:00 to Nov 28 17:59:59 (UTC)


Time until end of Magellan 500th Anniversary challenge:
Days
Hours
Min
Sec
Standings
Magellan 500th Anniversary Challenge (CUL-LLR,
WOO-LLR)
: Individuals | Teams
10 146 398 8 CPU   Seventeen or Bust (LLR) 421/3044
2 263 071 75 CPU   Sierpinski / Riesel Base 5 Problem (LLR) 1505/38K
388 342 5K+ CPU   Sophie Germain Prime Search (LLR) 7496/131K
3 400 338 42 CPU   The Riesel Problem (LLR) 1000/2000
6 079 697 16 CPU   Woodall Prime Search (LLR) 1004/4910
  CPU GPU Proth Prime Search (Sieve) 2444/
272 375 5K+   GPU Generalized Fermat Prime Search (n=15) 988/56K
524 066 2797   GPU Generalized Fermat Prime Search (n=16) 1498/376K
961 725 838 CPU GPU Generalized Fermat Prime Search (n=17 low) 1999/32K
1 036 364 434   GPU Generalized Fermat Prime Search (n=17 mega) 994/40K
1 851 704 118 CPU GPU Generalized Fermat Prime Search (n=18) 997/63K
3 464 037 36 CPU GPU Generalized Fermat Prime Search (n=19) 1000/7651
6 484 669 13 CPU GPU Generalized Fermat Prime Search (n=20) 1001/3198
12 179 202 7 CPU GPU Generalized Fermat Prime Search (n=21) 443/10K
22 100 509 4 CPU GPU Generalized Fermat Prime Search (n=22) 200/2733
25 018 065 > 1 <   GPU Do You Feel Lucky? 201/554
  CPU GPU AP27 Search 1106/
  CPU GPU Wieferich and Wall-Sun-Sun Prime Search (coming soon) 0/

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 12 November 2020, 06:43:56 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:
45·27513661+1
The prime is 2,261,839 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 73rd overall.

The discovery was made by Hiroyuki Okazaki (zunewantan) of Japan using an Intel(R) Xeon(R) CPU E5-2670 0 @ 2.60GHz with 32GB RAM, running Linux. This computer took about 2 hours, 6 minutes to complete the primality test using LLR2. Hiroyuki Okazaki is a member of the Aggie The Pew team.

For more information, please see the Official Announcement.


On 27 October 2020, 22:38:04 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:
29·27374577+1
The prime is 2,219,971 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 73rd overall.

The discovery was made by Pavel Atnashev (Pavel Atnashev) of Russia using an Intel(R) Xeon(R) E5-2660 v2 CPU @ 2.20GHz with 4GB RAM, running Linux. This computer took about 1 hour, 49 minutes to complete the primality test using LLR2. Pavel Atnashev is a member of the Ural Federal University team.

For more information, please see the Official Announcement.


On 25 October 2020, 11:30:07 UTC, PrimeGrid's 321 Prime Search found the Mega Prime:
3·216408818+1
The prime is 4,939,547 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 21st overall.

The discovery was made by Scott Brown (Scott Brown) of the United States using an Intel(R) Core(TM) i7-4770S CPU @ 3.10GHz with 8GB RAM, running Microsoft Windows 10 Enterprise x64 Edition. This computer took about 6 hours, 6 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 25 October 2020, 00:52:15 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:
15·27300254+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 LLR2. Robert Gelhar is a member of the Antarctic Crunchers team.

For more information, please see the Official Announcement.


On 24 October 2020, 22:53:39 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:
19·26833086+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 LLR2. Jiri Jaros is a member of the Czech National Team.

For more information, please see the Official Announcement.


On 20 October 2020, 19:06:13 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:
39·26684941+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 LLR2. Mike Thümmler is a member of the SETI.Germany team.

For more information, please see the Official Announcement.


On 20 October 2020, 13:22:13 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:
39·26648997+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 LLR2. Tom Greer is a member of the Antarctic Crunchers team.

For more information, please see the Official Announcement.


Other significant primes


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
3·210829346+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
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

45·27513661+1 (PPS-DIV): official announcement | Top 100 Prime
29·27374577+1 (PPS-DIV): official announcement | Top 100 Prime
15·27300254+1 (PPS-DIV): official announcement | Top 100 Prime
19·26833086+1 (PPS-DIV): official announcement | Top 100 Prime
39·26684941+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

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

TRP Mega Prime!
On 16 November 2020, 23:17:01 UTC, PrimeGrid’s The Riesel Problem project eliminated k=146561 by finding the mega prime:

146561*2^11280802-1

The prime is 3,395,865 digits long and will enter Chris Caldwell's The Largest Known Primes Database ranked 42nd overall. This is PrimeGrid's 16th elimination. 48 k's now remain.

The discovery was made by Pavel Atnashev (Pavel Atnashev) of Russia using an Intel(R) Xeon(TM) E5-2680 v4 CPU @ 2.40GHz with 4GB RAM, running Linux. This computer took about 3 hours, 18 minutes to complete the primality test using LLR2. Pavel Atnashev is a member of the Ural Federal University team.

For more details, please see the official announcement.

25 Nov 2020 | 14:19:31 UTC · Comment


DIV Mega Prime!
On 12 November 2020, 06:43:56 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

45*2^7513661+1

The prime is 2,261,839 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 73rd overall.

The discovery was made by Hiroyuki Okazaki (zunewantan) of Japan using an Intel(R) Xeon(R) CPU E5-2670 0 @ 2.60GHz with 32GB RAM, running Linux 4.4.0-21-generic. This computer took about 2 hours, 6 minutes to complete the primality test using LLR. Hiroyuki Okazaki is a member of the Aggie The Pew team.

For more details, please see the official announcement.

18 Nov 2020 | 19:00:30 UTC · Comment


Magellan 500th Anniversary Challenge starts 18 November
The eighth challenge of the 2020 Series will be a 10-day challenge commemorating the (approximate) 500th Anniversary of the extraordinary expedition of Portuguese explorer Ferdinand Magellan. The challenge will be offered on the CUL-LLR and WOO-LLR subprojects, beginning 18 November 18:00 UTC and ending 28 November 18:00 UTC.

To participate in the Challenge, please select only the Cullen Prime Search LLR (CUL) and/or Woodall Prime Search LLR (WOO) projects 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 second 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.

Comments? Concerns? Conundrums? Confusions? Think we'll break the decade-long drought of Cullen primes? Tell us in the forum thread for this challenge. Best of luck!
16 Nov 2020 | 2:46:34 UTC · Comment


321 Sieve is over
The 321 Sieve project has come to an end, and no more 321 Sieve tasks will be sent out.

If you currently have only 321-Sieve tasks selected, I suggest switching to the PPS-Sieve project. It's a similar task, albeit longer in duration.
4 Nov 2020 | 18:05:12 UTC · Comment


DIV Mega Prime!
On 27 October 2020, 22:38:04 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

29*2^7374577+1

The prime is 2,219,971 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 73rd overall.

The discovery was made by Pavel Atnashev (Pavel Atnashev) of Russia using an Intel(R) Core(TM)2 Quad CPU Q9400 @ 2.66GHz with 4GB RAM, running Microsoft Windows 7 Professional x64 Edition. This computer took about 1 hour, 49 minutes to complete the primality test using LLR2. Pavel Atnashev is a member of the Ural Federal University team.

For more details, please see the official announcement.
31 Oct 2020 | 21:18:58 UTC · Comment


... more

News is available as an RSS feed   RSS


Newly reported primes

(Mega-primes are in bold.)

205136186^32768+1 (Johny); 205116804^32768+1 (mikey); 79912550^131072+1 (Science United); 5738065456935*2^1290000-1 (YuW3-810); 99184362^65536+1 (CGB); 5731324390827*2^1290000-1 (Robi); 5737185804555*2^1290000-1 (reiner); 5737158941367*2^1290000-1 (Charles Jackson); 5055*2^1610683+1 (a NEFUer); 5734871844375*2^1290000-1 (ruditapper); 204889424^32768+1 (Johny); 5728096695165*2^1290000-1 (Robi); 204841922^32768+1 (Johny); 5734299371265*2^1290000-1 (yves); 5733253695237*2^1290000-1 (Todderbert); 5733875985477*2^1290000-1 (Yegor001); 5728119747777*2^1290000-1 (jhwells); 204745774^32768+1 (McDaWisel); 146561*2^11280802-1 (Pavel Atnashev); 204615740^32768+1 (thebestof_Superman)

Top Crunchers:

Top participants by RAC

Syracuse University89779128.75
Science United23734256.61
Miklos M.13738733.83
tng11883296.49
Ryan Dark10821026.78
Jesmar8713886.26
Grzegorz Roman Granowski6150660.87
Scott Brown5723552.11
Pavel Atnashev5693245.86
DeleteNull5669956.26

Top teams by RAC

The Scottish Boinc Team25524137.3
Antarctic Crunchers24084813.74
SETI.Germany18113934.85
Aggie The Pew14644025.06
Team 2ch12369819.14
GoEngineer Inc.10820974.38
Czech National Team10451791.47
Sicituradastra.9637461.08
Storm7947467.94
BOINC@AUSTRALIA7047689.4
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