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A2 / B3
UTC time 2019-10-20 19:51:49 Powered by BOINC
4 545 198 20 CPU   321 Prime Search (LLR) 1000/1000 User Count 348 774
5 324 494 18 CPU   Cullen Prime Search (LLR) 755/1000 Host Count 574 201
4 163 981 20 CPU   Extended Sierpinski Problem (LLR) 751/1680 Hosts Per User 1.65
1 472 381 138 CPU   Fermat Divisor Search (LLR) 7482/2310K Tasks in Progress 97 198
3 966 710 22 CPU   Generalized Cullen/Woodall Prime Search (LLR) 1000/1000 Primes Discovered 80 242
6 285 591 15 CPU   Prime Sierpinski Problem (LLR) 751/1356 Primes Reported4 at T5K 28 763
847 783 764 CPU   Proth Prime Search (LLR) 3998/112K Mega Primes Discovered 383
466 100 3442 CPU   Proth Prime Search Extended (LLR) 3992/210K TeraFLOPS 2 001.023
1 000 854 524 CPU   Proth Mega Prime Search (LLR) 3998/644K
PrimeGrid's 2019 Challenge Series
50 years First ARPANET Connection
Challenge

Oct 24 00:00:00 to Oct 29 00:00:00 (UTC)


Time until 50 years First ARPANET Connection challenge:
Days
Hours
Min
Sec
Standings
World Maths Day Challenge (PPS-DIV): Individuals | Teams
9 674 522 9 CPU   Seventeen or Bust (LLR) 400/9590
1 989 840 70 CPU   Sierpinski / Riesel Base 5 Problem (LLR) 2501/35K
388 342 5K+ CPU   Sophie Germain Prime Search (LLR) 7468/551K
2 982 286 39 CPU   The Riesel Problem (LLR) 1000/2000
5 522 027 17 CPU   Woodall Prime Search (LLR) 751/1000
  CPU   321 Prime Search (Sieve) 7477/
  CPU GPU Proth Prime Search (Sieve) 2466/
267 393 5K+   GPU Generalized Fermat Prime Search (n=15) 988/100K
513 261 2459 CPU GPU Generalized Fermat Prime Search (n=16) 3996/150K
945 912 601 CPU GPU Generalized Fermat Prime Search (n=17 low) 1999/68K
1 022 803 383   GPU Generalized Fermat Prime Search (n=17 mega) 996/53K
1 820 047 79 CPU GPU Generalized Fermat Prime Search (n=18) 997/34K
3 399 594 28 CPU GPU Generalized Fermat Prime Search (n=19) 1000/7302
6 387 474 13 CPU GPU Generalized Fermat Prime Search (n=20) 1002/2157
11 893 137 7 CPU GPU Generalized Fermat Prime Search (n=21) 681/826
21 818 417 4   GPU Generalized Fermat Prime Search (n=22) 201/3170
24 921 810 > 1 <   GPU Do You Feel Lucky? 202/1003
  CPU GPU AP27 Search 1899/

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 as a Titan!

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.
  • 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 Prime Sierpinski Project solve the Prime Sierpinski Problem.
  • Proth Prime Search: searching for primes of the form k·2n+1.
  • 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.
   You can choose the projects you would like to run by going to the project preferences page.

Recent Significant Primes


On 23 September 2019, 06:25:41 UTC, PrimeGrid's AP27 (Arithmetic Progression of 27 primes) Search found the first ever AP27:

224584605939537911+81292139*23#*n for n=0..26

In addition to being the first know AP27, it is also the largest known AP24, AP25 and AP26 (smaller start but larger end than old record).

The discovery was made by Rob Gahan (Robish) of Ireland using an NVIDIA GeForce GTX 1660 Ti GPU on an Intel(R) Core(TM) i5-9400 CPU @ 2.90GHz running Microsoft Windows 10 Professional x64 Edition. This computer took about 22 minutes to process this task. Rob is a member of the Storm team.

For more information, please see the Official Announcement.


On 18 September 2019, 11:52:32 UTC, PrimeGrid's Generalized Fermat Prime Search found the Generalized Fermat mega prime:
2985036524288+1
The prime is 3,394,739 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 3rd for Generalized Fermat primes and 28th overall.

The discovery was made by Peter Harvey (eXaPower) of the United States using an NVIDIA GeForce GTX 1070 in an Intel(R) Core(TM) i5-4440S CPU @ 2.80GHz CPU with 8GB RAM, running Windows 8.1. This computer took about 1 hour and 49 minutes to probable prime (PRP) test with GeneferOCL3.

The PRP was confirmed prime by an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Windows 10 Professional. This computer took about 23 hours and 48 minutes to complete the primality test using multithreaded LLR.

For more information, please see the Official Announcement.


On 9 September 2019, 18:15:29 UTC, PrimeGrid's Generalized Fermat Prime Search found the Generalized Fermat mega prime:
8521794262144+1
The prime is 1,816,798 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 13th for Generalized Fermat primes and 76th overall.

The discovery was made by Ken Ito (jpldcon4) of Japan using an NVIDIA GeForce GTX 980 Ti in an Intel(R) Xeon(R) CPU E5-2687W v3 @ 3.10GHz with 64GB RAM, running Microsoft Windows Server 2016. This computer took about 27 minutes to probable prime (PRP) test with GeneferOCL2. Ken is a member of Team 2ch.

The PRP was confirmed prime by an Intel(R) Xeon(R) CPU E3-1240 v6 @ 3.70GHz with 32GB RAM, running DebianLinux. This computer took about 17 hours and30 minutes to complete the primality test using LLR.

For more information, please see the Official Announcement.


On 2 September 2019, 03:39:59 UTC, PrimeGrid's Generalized Cullen/Woodall Prime Search found the largest known Generalized Cullen prime:
2805222·252805222+1
The prime is 3,921,539 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 1st for Generalized Cullen primes and 21st overall.

The discovery was made by Tom Greer of the United States using an Intel(R) Core(TM) i9-9900X CPU @ 3.50GHz with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 3 hours and 23 minutes to complete the primality test using multithreaded LLR. Tom is a member of the Sicituradastra team. 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
3·26090515-1 (321): official announcement | 321
3·25082306+1 (321): official announcement | 321
3·24235414-1 (321): official announcement | 321
3·22291610+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
27·23855094-1 (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

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

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
427194·113427194+1 (GC): official announcement | Generalized Cullen

10590941048576+1 (GFN): official announcement | Generalized Fermat Prime
9194441048576+1 (GFN): official announcement | Generalized Fermat Prime
2985036524288+1 (GFN): official announcement | Generalized Fermat Prime
2877652524288+1 (GFN): official announcement | Generalized Fermat Prime
2788032524288+1 (GFN): official announcement | Generalized Fermat Prime
2733014524288+1 (GFN): official announcement | Generalized Fermat Prime
2312092524288+1 (GFN): official announcement | Generalized Fermat Prime
2061748524288+1 (GFN): official announcement | Generalized Fermat Prime
1880370524288+1 (GFN): official announcement | Generalized Fermat Prime
475856524288+1 (GFN): official announcement | Generalized Fermat Prime
356926524288+1 (GFN): official announcement | Generalized Fermat Prime
341112524288+1 (GFN): official announcement | Generalized Fermat Prime
75898524288+1 (GFN): official announcement | Generalized Fermat Prime
8521794262144+1 (GFN): official announcement | Generalized Fermat Prime
6291332262144+1 (GFN): official announcement | Generalized Fermat Prime
6287774262144+1 (GFN): official announcement | Generalized Fermat Prime
5828034262144+1 (GFN): official announcement | Generalized Fermat Prime
5205422262144+1 (GFN): official announcement | Generalized Fermat Prime
5152128262144+1 (GFN): official announcement | Generalized Fermat Prime
4489246262144+1 (GFN): official announcement | Generalized Fermat Prime
4246258262144+1 (GFN): official announcement | Generalized Fermat Prime
3933508262144+1 (GFN): official announcement | Generalized Fermat Prime
3853792262144+1 (GFN): official announcement | Generalized Fermat Prime
3673932262144+1 (GFN): official announcement | Generalized Fermat Prime
3596074262144+1 (GFN): official announcement | Generalized Fermat Prime
3547726262144+1 (GFN): official announcement | Generalized Fermat Prime
3060772262144+1 (GFN): official announcement | Generalized Fermat Prime
2676404262144+1 (GFN): official announcement | Generalized Fermat Prime
2611204262144+1 (GFN): official announcement | Generalized Fermat Prime
2514168262144+1 (GFN): official announcement | Generalized Fermat Prime
2042774262144+1 (GFN): official announcement | Generalized Fermat Prime
1828858262144+1 (GFN): official announcement | Generalized Fermat Prime
1615588262144+1 (GFN): official announcement | Generalized Fermat Prime
1488256262144+1 (GFN): official announcement | Generalized Fermat Prime
1415198262144+1 (GFN): official announcement | Generalized Fermat Prime
773620262144+1 (GFN): official announcement | Generalized Fermat Prime
676754262144+1 (GFN): official announcement | Generalized Fermat Prime
525094262144+1 (GFN): official announcement | Generalized Fermat Prime
361658262144+1 (GFN): official announcement | Generalized Fermat Prime
145310262144+1 (GFN): official announcement | Generalized Fermat Prime
40734262144+1 (GFN): official announcement | Generalized Fermat Prime
47179704131072+1 (GFN): official announcement | Generalized Fermat Prime
47090246131072+1 (GFN): official announcement | Generalized Fermat Prime
46776558131072+1 (GFN): official announcement | Generalized Fermat Prime
46736070131072+1 (GFN): official announcement | Generalized Fermat Prime
46730280131072+1 (GFN): official announcement | Generalized Fermat Prime
46413358131072+1 (GFN): official announcement | Generalized Fermat Prime
46385310131072+1 (GFN): official announcement | Generalized Fermat Prime
46371508131072+1 (GFN): official announcement | Generalized Fermat Prime
46077492131072+1 (GFN): official announcement | Generalized Fermat Prime
45570624131072+1 (GFN): official announcement | Generalized Fermat Prime
45315256131072+1 (GFN): official announcement | Generalized Fermat Prime
44919410131072+1 (GFN): official announcement | Generalized Fermat Prime
44438760131072+1 (GFN): official announcement | Generalized Fermat Prime
44330870131072+1 (GFN): official announcement | Generalized Fermat Prime
44085096131072+1 (GFN): official announcement | Generalized Fermat Prime
44049878131072+1 (GFN): official announcement | Generalized Fermat Prime
43165206131072+1 (GFN): official announcement | Generalized Fermat Prime
43163894131072+1 (GFN): official announcement | Generalized Fermat Prime
42654182131072+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

373·23404702+1 (MEGA): official announcement | Mega Prime
303·23391977+1 (MEGA): official announcement | Mega Prime
369·23365614+1 (MEGA): official announcement | Mega Prime
393·23349525+1 (MEGA): official announcement | Mega Prime
113·23437145+1 (MEGA): official announcement | Mega Prime
159·23425766+1 (MEGA): official announcement | Mega Prime
245·23411973+1 (MEGA): official announcement | Mega Prime
177·23411847+1 (MEGA): official announcement | Mega Prime
35·23587843+1 (MEGA): official announcement | Mega Prime
35·23570777+1 (MEGA): official announcement | Mega Prime
33·23570132+1 (MEGA): official announcement | Mega Prime
93·23544744+1 (MEGA): official announcement | Mega Prime
87·23496188+1 (MEGA): official announcement | Mega Prime
51·23490971+1 (MEGA): official announcement | Mega Prime
81·23352924+1 (MEGA): official announcement | Mega Prime

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
543·23438810+1 (PPS-Mega): official announcement | Mega Prime
625·23438572+1 (PPS-Mega): official announcement | Mega Prime
1147·23435970+1 (PPS-Mega): official announcement | Mega Prime
911·23432643+1 (PPS-Mega): official announcement | Mega Prime
1127·23427219+1 (PPS-Mega): official announcement | Mega Prime
1119·23422189+1 (PPS-Mega): official announcement | Mega Prime
1005·23420846+1 (PPS-Mega): official announcement | Mega Prime
975·23419230+1 (PPS-Mega): official announcement | Mega Prime
999·23418885+1 (PPS-Mega): official announcement | Mega Prime
907·23417890+1 (PPS-Mega): official announcement | Mega Prime
953·23405729+1 (PPS-Mega): official announcement | Mega Prime
833·23403765+1 (PPS-Mega): official announcement | Mega Prime
1167·23399748+1 (PPS-Mega): official announcement | Mega Prime
611·23398273+1 (PPS-Mega): official announcement | Mega Prime
609·23392301+1 (PPS-Mega): official announcement | Mega Prime
1049·23395647+1 (PPS-Mega): official announcement | Mega Prime
555·23393389+1 (PPS-Mega): official announcement | Mega Prime
805·23391818+1 (PPS-Mega): official announcement | Mega Prime
663·23390469+1 (PPS-Mega): official announcement | Mega Prime
621·23378148+1 (PPS-Mega): official announcement | Mega Prime
1093·23378000+1 (PPS-Mega): official announcement | Mega Prime
861·23377601+1 (PPS-Mega): official announcement | Mega Prime
677·23369115+1 (PPS-Mega): official announcement | Mega Prime
715·23368210+1 (PPS-Mega): official announcement | Mega Prime
617·23368119+1 (PPS-Mega): official announcement | Mega Prime
777·23367372+1 (PPS-Mega): official announcement | Mega Prime
533·23362857+1 (PPS-Mega): official announcement | Mega Prime
619·23362814+1 (PPS-Mega): official announcement | Mega Prime
1183·23353058+1 (PPS-Mega): official announcement | Mega Prime
543·23351686+1 (PPS-Mega): official announcement | Mega Prime
733·23340464+1 (PPS-Mega): official announcement | Mega Prime
651·23337101+1 (PPS-Mega): official announcement | Mega Prime
849·23335669+1 (PPS-Mega): official announcement | Mega Prime
611·23334875+1 (PPS-Mega): official announcement | Mega Prime
673·23330436+1 (PPS-Mega): official announcement | Mega Prime
655·23327518+1 (PPS-Mega): official announcement | Mega Prime
659·23327371+1 (PPS-Mega): official announcement | Mega Prime
821·23327003+1 (PPS-Mega): official announcement | Mega Prime
555·23325925+1 (PPS-Mega): official announcement | Mega Prime
791·23323995+1 (PPS-Mega): official announcement | Mega Prime
597·23322871+1 (PPS-Mega): official announcement | Mega Prime
415·23559614+1 (PPS-Mega): official announcement | Mega Prime
465·23536871+1 (PPS-Mega): official announcement | Mega Prime
447·23533656+1 (PPS-Mega): official announcement | Mega Prime
495·23484656+1 (PPS-Mega): official announcement | Mega Prime
491·23473837+1 (PPS-Mega): official announcement | Mega Prime
453·23461688+1 (PPS-Mega): official announcement | Mega Prime
479·23411975+1 (PPS-Mega): official announcement | Mega Prime
453·23387048+1 (PPS-Mega): official announcement | Mega Prime
403·23334410+1 (PPS-Mega): official announcement | Mega Prime
309·23577339+1 (PPS-Mega): official announcement | Mega Prime
381·23563676+1 (PPS-Mega): official announcement | Mega Prime
351·23545752+1 (PPS-Mega): official announcement | Mega Prime
345·23532957+1 (PPS-Mega): official announcement | Mega Prime
329·23518451+1 (PPS-Mega): official announcement | Mega Prime
323·23482789+1 (PPS-Mega): official announcement | Mega Prime
189·23596375+1 (PPS-Mega): official announcement | Mega Prime
387·23322763+1 (PPS-Mega): official announcement | Mega Prime
275·23585539+1 (PPS-Mega): official announcement | Mega Prime
251·23574535+1 (PPS-Mega): official announcement | Mega Prime
191·23548117+1 (PPS-Mega): official announcement | Mega Prime
141·23529287+1 (PPS-Mega): official announcement | Mega Prime
135·23518338+1 (PPS-Mega): official announcement | Mega Prime
249·23486411+1 (PPS-Mega): official announcement | Mega Prime
195·23486379+1 (PPS-Mega): official announcement | Mega Prime
197·23477399+1 (PPS-Mega): official announcement | Mega Prime
255·23395661+1 (PPS-Mega): official announcement | Mega Prime
179·23371145+1 (PPS-Mega): official announcement | Mega Prime
193·23329782+1 (PPS-Mega): official announcement | Fermat Divisor
129·23328805+1 (PPS-Mega): official announcement | Mega Prime

7·25775996+1 (PPS): official announcement | Mega Prime
9·23497442+1 (PPS): official announcement | Mega Prime
57·22747499+1 (PPS): official announcement | Fermat Divisor
267·22662090+1 (PPS): official announcement | Fermat Divisor
9·22543551+1 (PPS): official announcement | Fermat Divisor
25·22141884+1 (PPS): official announcement | Fermat Divisor
183·21747660+1 (PPS): official announcement | Fermat Divisor
131·21494099+1 (PPS): official announcement | Fermat Divisor
329·21246017+1 (PPS): official announcement | Fermat Divisor
2145·21099064+1 (PPS): official announcement | Fermat Divisor
1705·2906110+1 (PPS): official announcement | Fermat Divisor
659·2617815+1 (PPS): official announcement | Fermat Divisor
519·2567235+1 (PPS): official announcement | Fermat Divisor
651·2476632+1 (PPS): official announcement | Fermat Divisor
7905·2352281+1 (PPS): official announcement | Fermat Divisor
4479·2226618+1 (PPS): official announcement | Fermat Divisor
3771·2221676+1 (PPS): official announcement | Fermat Divisor
7333·2138560+1 (PPS): official announcement | Fermat Divisor

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

322498·52800819-1 (SR5): official announcement | k=322498 eliminated
88444·52799269-1 (SR5): official announcement | k=88444 eliminated
138514·52771922+1 (SR5): official announcement | k=138514 eliminated
194368·52638045-1 (SR5): official announcement | k=194368 eliminated
66916·52628609-1 (SR5): official announcement | k=66916 eliminated
81556·52539960+1 (SR5): official announcement | k=81556 eliminated
327926·52542838-1 (SR5): official announcement | k=327926 eliminated
301562·52408646-1 (SR5): official announcement | k=301562 eliminated
171362·52400996-1 (SR5): official announcement | k=171362 eliminated
180062·52249192-1 (SR5): official announcement | k=180062 eliminated
53546·52216664-1 (SR5): official announcement | k=53546 eliminated
296024·52185270-1 (SR5): official announcement | k=296024 eliminated
92158·52145024+1 (SR5): official announcement | k=92158 eliminated
77072·52139921+1 (SR5): official announcement | k=77072 eliminated
306398·52112410-1 (SR5): official announcement | k=306398 eliminated
154222·52091432+1 (SR5): official announcement | k=154222 eliminated
100186·52079747-1 (SR5): official announcement | k=100186 eliminated
144052·52018290+1 (SR5): official announcement | k=144052 eliminated
109208·51816285+1 (SR5): official announcement | k=109208 eliminated
325918·51803339+1 (SR5): official announcement | k=325918 eliminated
133778·51785689+1 (SR5): official announcement | k=133778 eliminated
24032·51768249+1 (SR5): official announcement | k=24032 eliminated
138172·51714207-1 (SR5): official announcement | k=138172 eliminated
22478·51675150-1 (SR5): official announcement | k=22478 eliminated
326834·51634978-1 (SR5): official announcement | k=326834 eliminated
207394·51612573-1 (SR5): official announcement | k=207394 eliminated
104944·51610735-1 (SR5): official announcement | k=104944 eliminated
330286·51584399-1 (SR5): official announcement | k=330286 eliminated
22934·51536762-1 (SR5): official announcement | k=22934 eliminated
178658·51525224-1 (SR5): official announcement | k=178658 eliminated
59912·51500861+1 (SR5): official announcement | k=59912 eliminated
37292·51487989+1 (SR5): official announcement | k=37292 eliminated
173198·51457792-1 (SR5): official announcement | k=173198 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
398023·26418059-1 (TRP): official announcement | k=398023 eliminated
252191·25497878-1 (TRP): official announcement | k=252191 eliminated
353159·24331116-1 (TRP): official announcement | k=353159 eliminated
141941·24299438-1 (TRP): official announcement | k=141941 eliminated
415267·23771929-1 (TRP): official announcement | k=415267 eliminated
123547·23804809-1 (TRP): official announcement | k=123547 eliminated
65531·23629342-1 (TRP): official announcement | k=65531 eliminated
428639·23506452-1 (TRP): official announcement | k=428639 eliminated
191249·23417696-1 (TRP): official announcement | k=191249 eliminated
162941·2993718-1 (TRP): official announcement | k=162941 eliminated

65516468355·2333333±1 (TPS): official announcement | Twin

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

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First Ever AP27 Discovered!
The search is over!

After a three year effort, the first ever AP27 (Arithmetic Progression of 27 primes) has been found:

224584605939537911+81292139*23#*n for n=0..26

The AP27 was found by Rob Gahan (Robish) of Ireland. The discovery was made on an NVIDIA GeForce GTX 1660 Ti GPU on an Intel(R) Core(TM) i5-9400 CPU @ 2.90GHz running Microsoft Windows 10 Professional x64 Edition. It took about 22 minutes and 34 seconds to process the task. Rob is a member of the Storm team.

Congratulations to everyone who participated in the AP27 search! It has been a very challenging and rewarding project.

For more information, please see the official announcement or our AP27 forums.
30 Sep 2019 | 20:41:09 UTC · Comment


GFN-524288 Mega Prime!
On 18 September 2019, 11:52:32 UTC, PrimeGrid’s Generalized Fermat Prime Search found the Generalized Fermat mega prime:

2985036^524288+1

The prime is 3,394,739 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 3rd for Generalized Fermat primes and 28th overall.

The discovery was made by Peter Harvey (eXaPower) the United States using an NVIDIA GeForce GTX 1070 in an Intel(R) Core(TM) i5-4440S CPU @ 2.80GHz CPU with 8GB RAM, running Windows 8.1. This GPU took about 1 hour 49 minutes to probable prime (PRP) test with GeneferOCL3.

The PRP was verified on 19 September 2019, 22:56:55 UTC by Alexander Falk (Alexander Falk) using an NVIDIA GeForce GTX 970 in an Intel(R) Core(TM) i7-6700 CPU @ 3.40GHz with 16GB RAM, running Windows 10. This GPU took about 3 hours 17 minutes to probable prime (PRP) test with GeneferOCL5. Alexander is a member of The Knights Who Say Ni! Team.

The PRP was confirmed prime by an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Windows 10 Professional. This computer took about 23 hours 48 minutes to complete the primality test using multithreaded LLR.

For more details, please see the official announcement.

24 Sep 2019 | 18:08:54 UTC · Comment


GFN-262144 Find!
On 9 September 2019, 18:15:29 UTC, PrimeGrid’s Generalized Fermat Prime Search found the Generalized Fermat mega prime:

8521794^262144+1

The prime is 1,816,798 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 13th for Generalized Fermat primes and 76th overall.

The discovery was made by Ken Ito (jpldcon4) of Japan using an NVIDIA GeForce GTX 980 Ti in an Intel(R) Xeon(R) CPU E5-2687W v3 @ 3.10GHz with 64GB RAM, running Microsoft Windows Server 2016. This GPU took about 27 minutes to probable prime (PRP) test with GeneferOCL2. Ken is a member of Team 2ch.

The prime was verified on 10 September 2019, 02:21:44 UTC by Brent Schneider (KWSN-SpongeBob SquarePants) of Nepal using an NVIDIA GeForce GTX 1080 in an Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz with 16GB RAM, running Microsoft Windows 10 Enterprise. This GPU took about 28 minutes to probable prime (PRP) test with GeneferOCL2. Brent is a member of The Knights Who Say Ni! team.

The PRP was confirmed prime by an Intel(R) Xeon(R) E3-1240 v6 CPU @ 3.70GHz with 32 GB RAM, running Debian Linux. This computer took about 17 hours 30 minutes to complete the primality test using LLR.

For more details, please see the official announcement.

24 Sep 2019 | 17:30:17 UTC · Comment


World Record Generalized Cullen Prime
On 2 September 2019, 03:39:59 UTC, PrimeGrid’s Generalized Cullen/Woodall Prime Search found the largest known Generalized Cullen prime:

2805222*252805222+1

Generalized Cullen numbers are of the form: n*bn+1. Generalized Cullen numbers that are prime are called Generalized Cullen primes. For more information, please see “Cullen prime” in The Prime Glossary.

The prime is 3,921,539 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 1st for Generalized Cullen primes and 21st overall.

Base 25 was one of 11 primeless Generalized Cullen bases for b ≤121 that PrimeGrid is searching. The remaining bases are 13, 29, 47, 49, 55, 69, 73, 101, 109 & 121.

The discovery was made by Tom Greer (tng*) of the United States using an Intel(R) Core(TM) i9-9900X CPU @ 3.50GHz with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition. His computer took 3 hours and 23 minutes to complete the primality test using multithreaded LLR. Tom is a member of the Sicituradastra team.

The prime was verified on 3 September 2019 05:15:11 UTC by Tim Terry (TimT) of the United States using an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 24 hours 11 minutes to complete the primality test using multithreaded LLR. Tim is a member of the Aggie The Pew team.

For more details, please see the official announcement.
11 Sep 2019 | 12:54:24 UTC · Comment


New Project: Fermat Divisor Search
PrimeGrid is proud to announce that we have a new sub-project, the Fermat Divisor search.

This is a variant of our other PPS (Proth Prime Search) sub-projects and is specially designed to have a better chance of finding a Fermat Divisor.

Unlike most of our other sub-projects, this one will not run forever. It has a limited number of candidates to check, and once they're gone, the project is over. My best guess is that this project will last about three months.

It uses the same badge and stats as the other PPS sub-projects, so there's no new badge. But this is probably the best chance of discovering a Fermat divisor and earning that rare badge.

For more information and discussion, read this forum thread or join our Discord server.
6 Sep 2019 | 22:18:39 UTC · Comment


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Newly reported primes

(Mega-primes are in bold.)

144545644^32768+1 (Penguin); 4683076688955*2^1290000-1 (Jesmar); 144529334^32768+1 (Penguin); 4682875244175*2^1290000-1 (Charles Jackson); 144492642^32768+1 (KFR); 144449976^32768+1 (Penguin); 144396234^32768+1 (Penguin); 4679737721235*2^1290000-1 (Rumar Talosig); 144337430^32768+1 (Shayol Ghul); 4679307245895*2^1290000-1 (pstratos); 4678449803265*2^1290000-1 (Charles Jackson); 67797528^65536+1 (SEARCHER); 553*2^2815596+1 (kmpoon); 144281882^32768+1 (Penguin); 7165*2^1547988+1 (mazhiyuan); 15*2^4800315+1 (MiHost); 3559*2^3324650+1 (Randall J. Scalise); 39*2^4657951+1 (288larsson); 4676045415225*2^1290000-1 (Theory); 4125*2^1547912+1 (Erwin Doescher)

Top Crunchers:

Top participants by RAC

tng*16985552.38
walli16464463.25
yank14789974.98
Grzegorz Roman Granowski10856156.17
Jesmar6632076.02
Dave GPU6306647.56
CGB6063940.72
Borek5595444.11
Kellen5083191.45
Robish5008715.85

Top teams by RAC

SETI.Germany31029146.86
Sicituradastra.24862911.09
Antarctic Crunchers17344142.21
Czech National Team16491206.92
Storm14722009.65
Aggie The Pew13341417.12
The Scottish Boinc Team11741235.5
SETI.USA9688132.16
Canada7998130.96
BOINC@AUSTRALIA7189066.24
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