PrimeGrid
Please visit donation page to help the project cover running costs for this month

Digits
Prime
Rank1

App Types

Sub-Project
Available Tasks
A2 / B3
UTC time 2020-10-24 14:52:21 Powered by BOINC
4 938 869 21 CPU   321 Prime Search (LLR) 1001/1000 User Count 351 268
5 594 617 17 CPU   Cullen Prime Search (LLR) 750/1000 Host Count 617 303
4 531 375 23 CPU   Extended Sierpinski Problem (LLR) 751/3249 Hosts Per User 1.76
2 186 655 76 CPU   Fermat Divisor Search (LLR) 11905/985K Tasks in Progress 199 023
4 269 540 24 CPU   Generalized Cullen/Woodall Prime Search (LLR) 750/1000 Primes Discovered 82 611
6 954 135 13 CPU   Prime Sierpinski Problem (LLR) 400/1064 Primes Reported4 at T5K 29 795
870 368 994 CPU   Proth Prime Search (LLR) 1498/113K Mega Primes Discovered 540
484 322 3884 CPU   Proth Prime Search Extended (LLR) 4000/1414K TeraFLOPS 2 067.205
1 005 065 646 CPU   Proth Mega Prime Search (LLR) 4000/152K
PrimeGrid's 2020 Challenge Series
Évariste Galois Challenge
(IMPORTANT!!!)

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


Time until end of Évariste Galois challenge:
Days
Hours
Min
Sec
Standings
Évariste Galois Challenge (PPS-DIV): Individuals | Teams
10 097 710 8 CPU   Seventeen or Bust (LLR) 400/4911
2 243 939 73 CPU   Sierpinski / Riesel Base 5 Problem (LLR) 1549/56K
388 342 5K+ CPU   Sophie Germain Prime Search (LLR) 7480/335K
3 356 770 46 CPU   The Riesel Problem (LLR) 1023/2000
5 733 412 17 CPU   Woodall Prime Search (LLR) 750/1000
  CPU   321 Prime Search (Sieve) 7466/
  CPU GPU Proth Prime Search (Sieve) 2479/
272 074 5K+   GPU Generalized Fermat Prime Search (n=15) 997/150K
523 765 2763   GPU Generalized Fermat Prime Search (n=16) 1496/111K
960 848 816 CPU GPU Generalized Fermat Prime Search (n=17 low) 1999/76K
1 035 307 427   GPU Generalized Fermat Prime Search (n=17 mega) 999/38K
1 848 899 111 CPU GPU Generalized Fermat Prime Search (n=18) 998/30K
3 459 753 36 CPU GPU Generalized Fermat Prime Search (n=19) 1001/4034
6 477 365 13 CPU GPU Generalized Fermat Prime Search (n=20) 1000/7411
12 163 671 7 CPU GPU Generalized Fermat Prime Search (n=21) 402/12K
22 070 348 4 CPU GPU Generalized Fermat Prime Search (n=22) 204/3324
25 012 276 > 1 <   GPU Do You Feel Lucky? 202/1158
  CPU GPU AP27 Search 1435/

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

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


321 Sieve is being SUSPENDED
On October 21st, we will be suspending our 321 Sieve project.

Details and discussion can be found here.
21 Sep 2020 | 18:19:56 UTC · Comment


Warning about the end of the challenge
Despite our best efforts, we're not sure the server is going to make it to the end of the challenge. We're not asking people to stop crunching, but we are advising anyone who may be "bunkering" tasks for a competitive push at the end that the server may be unavailable. Please make sure all your tasks are counted by getting them back to the server as soon as possible!

THe challenge discussion thread can be found here: https://www.primegrid.com/forum_thread.php?id=9271
5 Sep 2020 | 10:11:58 UTC · Comment


International Bacon Day Challenge starts September 3rd
In honor of the day arbitrarily chosen by three graduate students at the University of Colorado Boulder to celebrate this notorious breakfast meat, PrimeGrid will be running a 3-day PPSE-LLR challenge from 3 September 00:00 UTC to 6 September 00:00 UTC.

Work units from the Proth Prime Search Extended (LLR) project, which are downloaded and completed during the challenge will count towards your challenge score.

The work units are big enough to earn you a spot on the Top 5000 list if you score a prime, but small enough that your chances are as high as 1 in 30,000 per task! That might not sound like a lot, but an average 4-core CPU can churn out nearly 300 per day. Best of luck!

Inquiries? Inspirations? Introspections? Do you have a finite Bacon Number? Tell us in the forum thread for this challenge: https://www.primegrid.com/forum_thread.php?id=9271
31 Aug 2020 | 4:29:11 UTC · Comment


SR5 Mega Prime!
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*5^3168862-1

The prime is 2,214,945 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 72ns 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 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 the SETI.USA team.

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 the Antarctic Crunchers team.

For more details, please see the official announcement.

20 Aug 2020 | 17:56:53 UTC · Comment


... more

News is available as an RSS feed   RSS


Newly reported primes

(Mega-primes are in bold.)

98165150^65536+1 (melvil6300); 98160134^65536+1 (lashrasch); 200845256^32768+1 (teppot); 5659829875947*2^1290000-1 (puh32); 98087154^65536+1 (CGB); 3457*2^1608760+1 (shirawa@meow); 5658574875567*2^1290000-1 (mrzorronator); 5658567199917*2^1290000-1 (a NEFUer); 200516136^32768+1 (Johny); 200440162^32768+1 (jshriver); 39*2^6684941+1 (fnord); 39*2^6648997+1 (tng); 9723*2^1608724+1 (zunewantan); 6507*2^1608723+1 (zunewantan); 5655964785975*2^1290000-1 (Scott Brown); 200309478^32768+1 (Spear); 200295018^32768+1 (Johny); 98046450^65536+1 (YuW3-810); 1843*2^1608558+1 (zunewantan); 5654397129747*2^1290000-1 (Scott Brown)

Top Crunchers:

Top participants by RAC

Miklos M.13709844.34
Ryan Dark13265692.98
Syracuse University12998956.02
Science United12205820.96
Grzegorz Roman Granowski9797040.55
Megacruncher9453914.32
tng9446918.88
Gelly8537558.75
Bowmore6404912.15
Scott Brown6271574.87

Top teams by RAC

The Scottish Boinc Team42748783.25
Antarctic Crunchers29601228.65
SETI.Germany19016715.02
Aggie The Pew18375891.6
GoEngineer Inc.13262877.82
Sicituradastra.11339272.82
Czech National Team9435911.48
Storm8718935.44
Team 2ch8681702.02
Team China7184174.37
[Return to PrimeGrid main page]
DNS Powered by DNSEXIT.COM
Copyright © 2005 - 2020 Rytis Slatkevičius (contact) and PrimeGrid community. Server load 4.49, 5.47, 5.37
Generated 24 Oct 2020 | 14:52:21 UTC