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UTC time 2021-01-20 03:15:49 Powered by BOINC
5 063 047 21 CPU F MT   321 Prime Search (LLR) 1007/1000 User Count 351 609
6 144 339 16 CPU F MT   Cullen Prime Search (LLR) 750/998 Host Count 629 458
4 838 266 22 CPU F MT   Extended Sierpinski Problem (LLR) 752/2752 Hosts Per User 1.79
2 527 046 73 CPU F MT   Fermat Divisor Search (LLR) 1491/346K Tasks in Progress 166 984
4 378 599 24 CPU F MT   Generalized Cullen/Woodall Prime Search (LLR) 751/1000 Primes Discovered 83 125
7 082 508 13 CPU F MT   Prime Sierpinski Problem (LLR) 402/703 Primes Reported4 at T5K 29 959
880 242 1067 CPU F MT   Proth Prime Search (LLR) 1493/337K Mega Primes Discovered 595
485 715 4042 CPU MT   Proth Prime Search Extended (LLR) 3995/826K TeraFLOPS 4 797.913
1 007 044 689 CPU F MT   Proth Mega Prime Search (LLR) 3987/80K
PrimeGrid's 2021 Challenge Series
Good Riddance 2020! Challenge
Jan 14 00:00:00 to Jan 18 23:59:59 (UTC)
Also Feb 1-28: Tour de Primes

Time until Tour de Primes challenge:
Days
Hours
Min
Sec
Standings
Great Conjunction Challenge (GFN-18, GFN-19, GFN-20): Individuals | Teams
Good Riddance 2020! Challenge (PPS-DIV): Individuals | Teams
10 244 592 8 CPU F MT   Seventeen or Bust (LLR) 402/10K
2 281 290 88 CPU F MT   Sierpinski / Riesel Base 5 Problem (LLR) 1500/22K
388 342 5K+ CPU MT   Sophie Germain Prime Search (LLR) 7466/368K
3 428 876 42 CPU F MT   The Riesel Problem (LLR) 1007/2000
6 240 284 16 CPU F MT   Woodall Prime Search (LLR) 756/1000
  CPU GPU Proth Prime Search (Sieve) 2475/
273 181 5K+   GPU Generalized Fermat Prime Search (n=15) 965/60K
525 022 2872 CPU GPU Generalized Fermat Prime Search (n=16) 1493/324K
963 165 892 CPU GPU Generalized Fermat Prime Search (n=17 low) 1999/24K
1 037 559 459 CPU GPU Generalized Fermat Prime Search (n=17 mega) 996/77K
1 863 746 138 CPU GPU Generalized Fermat Prime Search (n=18) 1000/95K
3 475 201 38 CPU GPU Generalized Fermat Prime Search (n=19) 1002/22K
6 549 310 13 CPU GPU Generalized Fermat Prime Search (n=20) 1000/14K
12 195 611 7 CPU MT-A GPU Generalized Fermat Prime Search (n=21) 401/8386
22 134 148 4   GPU Generalized Fermat Prime Search (n=22) 202/2032
25 026 670 > 1 <   GPU Do You Feel Lucky? 202/648
  CPU MT GPU AP27 Search 1421/
  CPU MT GPU Wieferich and Wall-Sun-Sun Prime Search 983/

* Only 3 tasks, 2 affecting scoring positions, of Great Conjunction Challenge (GFN-20) cleanup work are currently available! *

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 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.
4 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 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.


On 18 November 2020, 05:40:34 UTC, PrimeGrid's 27121 Prime Search through PRPNet found the Mega Prime:
121·29584444+1
The prime is 2,885,208 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 60th overall.

The discovery was made by James Winskill (Aeneas) of New Zealand using an Intel Xeon(R) E5-2637 v3 CPU @ 3.50GHz with 64GB RAM, running Microsoft Windows Server 2012 R2. This computer took about 13 hours, 49 minutes to complete the primality test using LLR. James Winskill is a member of the PrimeSearchTeam team.

The prime was verified internally on 18 Nov 2020, 16:42:00 UTC, by an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16 GB RAM, running Linux Gentoo. This computer took a little over 1 hour 42 minutes to complete the primality test using LLR.

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

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

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

45·27661004+1 (PPS-DIV): official announcement | Top 100 Prime
15·27619838+1 (PPS-DIV): official announcement | Top 100 Prime
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

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

Good Riddance 2020! Challenge starts January 14th
The first challenge of the 2021 Series will be a 5-day challenge celebrating the end of the abomination which was the year 2020. The challenge will be offered on the PPS-DIV (LLR) application, beginning 14 January 00:00 UTC and ending 18 January 23:59 UTC.

To participate in the Challenge, please select only the Fermat Divisor Search LLR (PPS-DIV) project in your PrimeGrid preferences section.

Comments? Concerns? Discuss on the forum post for this challenge. Best of luck!
11 Jan 2021 | 17:08:37 UTC · Comment


Another DIV Mega Prime!
On 13 December 2020, 16:07:34 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

45*2^7661004+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 details, please see the official announcement.

10 Jan 2021 | 15:33:02 UTC · Comment


DIV Mega Prime!
On 6 December 2020, 02:07:48 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

15*2^7619838+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 details, please see the official announcement.

10 Jan 2021 | 15:28:20 UTC · Comment


Change in Prime Reporting Procedure
With the release of LLR2, we are seeing a dramatic increase in the number of primes found by users that don't give permission to report them. To decrease the number of primes stuck waiting for permission to report that we never receive, we will still wait nineteen days for the first prime found by a user, but only seven days for subsequent primes before moving to the double checker or reporting as anonymous.

If you have primes reported to T5K through PrimeGrid already or have given permission to report and provided your name, this doesn't affect you. Otherwise, I strongly encourage you to change your PrimeGrid preferences to give permission.
27 Dec 2020 | 1:12:01 UTC · Comment


Great Conjunction Challenge starts December 21
The ninth and final challenge of the 2020 Series will be a 10-day challenge marking the extraordinarily rare astronomical event known as the Great Conjunction. The challenge will be offered on the GFN-18, GFN-19, and GFN-20 subprojects, beginning 21 December 13:22 UTC and ending 31 December 13:22 UTC.

To participate in the Challenge, please select only the GFN-18 and/or GFN-19 and/or GFN-20 subprojects in your PrimeGrid preferences section.

Addendums? Annotations? Apprehensions? Discuss in the forum thread for this challenge. Best of luck!
18 Dec 2020 | 17:49:56 UTC · Comment


... more

News is available as an RSS feed   RSS


Newly reported primes

(Mega-primes are in bold.)

5894258272947*2^1290000-1 (Buckeye4lf); 217085704^32768+1 (Kellen); 217022334^32768+1 (288larsson); 5896128901575*2^1290000-1 (Sean); 216927954^32768+1 (Gusek); 5887857678045*2^1290000-1 (InfinityLoveWar); 5896717911315*2^1290000-1 (Sean); 5888045917635*2^1290000-1 (InfinityLoveWar); 216860406^32768+1 ([AF>Occitania] f11ksx); 216830350^32768+1 (Kellen); 216823876^32768+1 (Kellen); 216717058^32768+1 (JacksonNemeth); 5893865913087*2^1290000-1 (Adrian Schori); 216734036^32768+1 (B2lee); 216703772^32768+1 (Kellen); 216672502^32768+1 (K2); 216593238^32768+1 (Kellen); 216517688^32768+1 ([AF>Occitania] f11ksx); 216466896^32768+1 (cc540_system); 5892372788115*2^1290000-1 (Charles Jackson)

Top Crunchers:

Top participants by RAC

Syracuse University145966516.8
Science United74077032.8
tng48599022.39
Grzegorz Roman Granowski32389388.09
DeleteNull17057426.1
JTFranklin16615140.72
Gelly14817173.68
RFGuy_KCCO14103446.46
Scott Brown13512560.17
Homefarm11442970.36

Top teams by RAC

Antarctic Crunchers94791980.6
SETI.Germany69732995.07
Aggie The Pew46330974.06
Save The World Real Estates31896497.95
Czech National Team30143765.93
The Scottish Boinc Team27368314.21
SETI.USA18105898.02
Sicituradastra.16379246.22
Storm16240438.51
Team 2ch16223297.65
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