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    A2 / B3,4,5
UTC time 2021-06-18 12:20:43 Powered by BOINC
5 247 931 20 CPU F MT   321 Prime Search (LLR) 996/998 User Count 352 196
6 317 409 15 CPU F MT   Cullen Prime Search (LLR) 769/1000 Host Count 654 548
5 929 857 16 CPU F MT   Extended Sierpinski Problem (LLR) 3345/33K Hosts Per User 1.86
4 587 770 24 CPU F MT   Generalized Cullen/Woodall Prime Search (LLR) 754/1000 Tasks in Progress 130 660
7 282 176 12 CPU F MT   Prime Sierpinski Problem (LLR) 406/1277 Primes Discovered 84 378
920 660 1203 CPU F MT   Proth Prime Search (LLR) 1506/255K Primes Reported6 at T5K 30 642
493 862 4418 CPU MT   Proth Prime Search Extended (LLR) 3991/1199K Mega Primes Discovered 745
1 014 465 706 CPU F MT   Proth Mega Prime Search (LLR) 3984/123K TeraFLOPS 2 537.075
10 849 326 8 CPU F MT   Seventeen or Bust (LLR) 425/10K
PrimeGrid's 2021 Challenge Series
PrimeGrid's 16th Birthday Challenge
Jun 12 13:00:00 to Jun 17 12:59:59 (UTC)


Time until World Emoji Day challenge:
Days
Hours
Min
Sec
Standings
PrimeGrid's 16th Birthday Challenge (ESP-LLR): Individuals | Teams
2 344 473 98 CPU F MT   Sierpinski / Riesel Base 5 Problem (LLR) 1499/28K
388 342 5K+ CPU MT   Sophie Germain Prime Search (LLR) 7457/424K
3 542 112 41 CPU F MT   The Riesel Problem (LLR) 1007/2000
5 969 975 16 CPU F MT   Woodall Prime Search (LLR) 749/1000
  CPU GPU Proth Prime Search (Sieve) 2539/
274 776 5K+   GPU Generalized Fermat Prime Search (n=15) 994/150K
531 246 3108 CPU GPU Generalized Fermat Prime Search (n=16) 1493/177K
969 150 1074 CPU GPU Generalized Fermat Prime Search (n=17 low) 2000/28K
1 042 888 483 CPU GPU Generalized Fermat Prime Search (n=17 mega) 999/66K
1 870 876 158 CPU GPU Generalized Fermat Prime Search (n=18) 1001/44K
3 488 236 44 CPU GPU Generalized Fermat Prime Search (n=19) 1001/14K
6 565 470 13 CPU GPU Generalized Fermat Prime Search (n=20) 1102/3714
12 244 027 7 CPU MT-A GPU Generalized Fermat Prime Search (n=21) 400/1789
22 246 766 4   GPU Generalized Fermat Prime Search (n=22) 201/4695
25 045 561 > 1 <   GPU Do You Feel Lucky? 200/725
  CPU MT GPU AP27 Search 1362/
  CPU MT GPU Wieferich and Wall-Sun-Sun Prime Search 990/

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 17 February 2021, 14:27:08 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime
17·28636199+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 information, please see the Official Announcement.


On 7 February 2021, 18:01:10 UTC, PrimeGrid's The Riesel Problem project eliminated k=9221 by finding the Mega Prime
9221·211392194-1
The prime is 3,429,397 digits long and enters 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 information, please see the Official Announcement.


On 1 February 2021, 11:26:31 UTC, PrimeGrid's 27121 Search through PRPNet found the Mega Prime
27·28342438-1
The prime is 2,511,326 digits long and enters 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 about 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 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

27·28342438-1 (27121): official announcement | 27121
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

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

17·28636199+1 (PPS-DIV): official announcement | Top 100 Prime
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

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

9221·211392194-1 (TRP): official announcement | k=9221 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

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

PrimeGrid's 16th Birthday Challenge starts June 12
The fourth challenge of the 2021 Series will be a 5-day challenge celebrating the 16th anniversary of the launch of PrimeGrid on BOINC. The challenge will be offered on the ESP-LLR application, beginning 12 June 13:00 UTC and ending 17 June 13:00 UTC.

To participate in the Challenge, please select only the Extended Sierpinski Problem LLR (ESP) project in your PrimeGrid preferences section.

For more information, check out the forum thread for this challenge:
https://www.primegrid.com/forum_thread.php?id=9684&nowrap=true#150570

Best of luck!
9 Jun 2021 | 13:46:42 UTC · Comment


Yuri's Night Challenge starts April 11th
The third challenge of the 2021 Series will be a 3-day challenge celebrating the 60th anniversary of Yuri Gagarin's history-making venture into outer space. The challenge will be offered on the WW application, beginning 11 April 18:00 UTC and ending 14 April 18:00 UTC.

This is a relatively new subproject here at PrimeGrid, and there are currently no known Wall–Sun–Sun primes! You could be the first to find one!

To participate in the Challenge, please select only the Wieferich and Wall-Sun-Sun Prime Search (WW) project in your PrimeGrid preferences section.

Questions? Queries? Quips? Discuss on the forum thread for this challenge. Best of luck!
8 Apr 2021 | 15:32:42 UTC · Comment


An Ending and a Beginning
This is the End...

Yesterday, the last task in our Fermat Divisor Search was sent out for processing. While there will likely be a few resends available over the next week or two, if you have PPS-DIV selected as your only project, we recommend choosing something else.

This project was very successful, having found two Fermat divisors! Congratulations everyone, and thank you for participating.

Discussion about the Fermat divisor search can be found here: https://www.primegrid.com/forum_forum.php?id=121

...And Also the Beginning

In less than an hour, at 12:00 UTC on Pi Day, our Sier"pi"nski's Birthday Challenge will be starting. This is a 10 day challenge on our Seventeen or Bust (SoB) project.

Details and discussion about the challenge can be found here: https://www.primegrid.com/forum_thread.php?id=9614
14 Mar 2021 | 11:23:58 UTC · Comment


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


... more

News is available as an RSS feed   RSS


Newly reported primes

(Mega-primes are in bold.)

242746416^32768+1 (Johny); 24734116^131072+1 (Michael Millerick); 6250681549845*2^1290000-1 (YuW3-810); 6249329150787*2^1290000-1 (KajakDC); 242550728^32768+1 (firedrakes); 127405738^65536+1 (Bloodnok); 6238565517915*2^1290000-1 (tng); 4391*2^1640327+1 (Randall J. Scalise); 6073*2^3369544+1 (MGmirkin); 242515392^32768+1 (Ryan Dark); 242437172^32768+1 (WezH); 242405716^32768+1 (WezH); 90382348^131072+1 (serge); 8687*2^1640299+1 (Randall J. Scalise); 4357*2^3369572+1 (zombie67 [MM]); 242229390^32768+1 (Cocagne); 6247015896327*2^1290000-1 (tng); 6246313397625*2^1290000-1 (tng); 127252554^65536+1 (Monkeydee); 453*2^3056181+1 (Penguin)

Top Crunchers:

Top participants by RAC

Science United41065561.6
tng40339712.93
Grzegorz Roman Granowski34619027.15
Scott Brown13818139.06
Tuna Ertemalp12782393.15
Pokey11909309.45
valterc10356912.03
Dave GPU8147773.09
KajakDC7629446.09
Syracuse University7609987.77

Top teams by RAC

Antarctic Crunchers53936585.35
Save The World Real Estates34618223.46
Aggie The Pew32189765.76
TeAm AnandTech20286089.87
SETI.USA19661128.79
SETI.Germany19120958.8
Czech National Team18564009
The Scottish Boinc Team13567087.09
BOINC@AUSTRALIA13025220.96
Microsoft12782098.73
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