## Other

drummers-lowrise

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 14 December 2018, 07:07:34 UTC, PrimeGrid's Generalized Fermat Prime Search found the Generalized Fermat mega prime:
6291332262144+1
The prime is 1,782,250 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 10th for Generalized Fermat primes and 66th overall.

The discovery was made by Karsten Freihube (KFR) of Germany using an NVIDIA GeForce GTX 1060 in an Intel(R) Core(TM) i7-4790 CPU at 3.60GHz with 16GB RAM, running Windows 10 Proffesional Edition. This GPU took about 35 minutes to probable prime (PRP) test with GeneferOCL2.

The PRP was confirmed prime by an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Microsoft Windows 10 Professional. This computer took about 4 hours and 59 minutes to complete the primality test using multithreaded LLR. For more information, please see the Official Announcement.

On 12 December 2018, 05:32:25 UTC, PrimeGrid's Generalized Fermat Prime Search found the Generalized Fermat mega prime:
6287774262144+1
The prime is 1,782,186 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 10th for Generalized Fermat primes and 66th overall.

The discovery was made by Greg Miller (Olgar) of the United States using an NVIDIA GeForce GTX 1050 in an AMD Phenom(TM) II x4 965 CPU with 16GB RAM, running Windows 10 Professional Edition. This GPU took about 60 minutes to probable prime (PRP) test with GeneferOCL2. Greg is a member of the USA team.

The PRP was confirmed prime by an Intel(R) Xeon(R) CPU E3-1240 v6 @ 3.70GHz running Linux. This computer took about 15 hours and 44 minutes to complete the primality test using LLR. For more information, please see the Official Announcement.

On 31 October 2018, 00:42:47 UTC, PrimeGrid's Generalized Fermat Prime Search found the Generalized Fermat mega prime:
10590941048576+1
The prime is 6,317,602 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 1st for Generalized Fermat primes and 13th overall. This is the second-largest prime found by PrimeGrid, and the second-largest non-Mersenne prime.

The discovery was made by Rob Gahan (Robish) of Ireland using an Nvidia GeForce GTX 1080 in an Intel(R) Core(TM) i7-7820HK CPU at 2.90GHz with 32GB RAM, running Microsoft Windows 10 Professional Edition. This GPU took about 3 hours and 35 minutes to probable prime (PRP) test with GeneferOCL4. Rob is a member of the Storm team.

The PRP was confirmed prime by an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Microsoft Windows 10 Professional Edition. This computer took about 4 days, 5 hours and 54 minutes to complete the primality test using multithreaded 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
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

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

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
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
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

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

## News

PrimeGrid and BOINC are looking for experienced Macintosh Developers
PrimeGrid is currently looking for a volunteer developer to build, test and maintain Mac apps. The current developer of PrimeGrid (and other applications that are used in the mathematics/prime search world) is no longer able to help us maintain the applications, which means that we may need to drop support for Macs over time (no such changes are planned right now or in the immediate future).

If you are able to help us, please don't hesitate to get in touch.

Moreover, the Berkeley Open Infrastructure for Network Computing (BOINC) open source project, which is the software infrastructure used by PrimeGrid and many other volunteer distributed computing projects, is also looking for volunteers to develop and maintain the BOINC client on Macintosh. The BOINC Client and Manager are C++ cross-platform code supporting MS Windows, Mac, Linux, and several other operating systems. BOINC currently has a number of volunteer developers supporting Windows and Linux, but their main Mac developer is winding down his involvement after many years. He is prepared to help a few new Mac developers get up to speed.

If you have Mac development experience and are interested in volunteering time to help support and maintain the BOINC Mac client please have a look at the more detailed description here: ​https://boinc.berkeley.edu/trac/wiki/MacDeveloper

If you are not a Mac developer, but have other skills and are interested in contributing to BOINC, the link above also has more general information.
19 Feb 2019 | 11:35:16 UTC · Comment

Tips for faster forums
If you find that loading forum messages is slow, there are two settings you can change on the Community Preferences page:

* Check the "Hide Badges" box. If you're not in Europe you probably have a ping time above 100 ms, and loading all those little badge images that everyone earns takes a while. Have you seen how many different badges people have? A tenth of a second for each one adds up.

* Check the "Show images as links" box. If a forum post contains an image from a third party site, including all badge or credit signature images, and that site is down or slow, it will significantly slow down loading the forum message page.

You can leave avatars and signatures turned on if you wish. They don't affect forum speed significantly.
7 Feb 2019 | 20:33:27 UTC · Comment

Feeling Lucky? World Record Prime Search Active Again
PrimeGrid now has a new project called "Do You Feel Lucky?" This is a world record prime search using GFN-22 with b starting at 846,398, which is the first b not removed by sieving where b^4194304+1 is greater than the current world record. Due to software limitations combined with the size of the numbers involved, this is a GPU-only project. The project will continue separate from the existing GFN22 search, and should the current world record increase, this project will be adjusted to then search beyond that new record.

For the full project details, please see this forum post.

So now "you've got to ask yourself one question: 'Do I feel lucky?' Well, do ya...?"
4 Feb 2019 | 17:00:20 UTC · Comment

2019 Tour de Primes Starts February 1st!

Our annual Tour de Primes challenge begins in a little over one day from now, and runs for the entire month of February.

Unlike other challenges, you don't get a trophy just for participating -- you have to actually find primes to win something!

As with last year, we will be awarding special "jersey badges" to the winners in four different categories. We're also continuing the tradition of offering special badges that are available to anyone who finds an eligible prime!

30 Jan 2019 | 20:18:34 UTC · Comment

Another GFN-262144 Mega Prime!
On 14 December 2018, 07:07:34 UTC, PrimeGrid’s Generalized Fermat Prime Search found the Generalized Fermat mega prime:

6291332^262144+1

The prime is 1,782,250 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 10th for Generalized Fermat primes and 66th overall.

The discovery was made by Karsten Freihube (KFR) of Germany using an NVIDIA GeForce GTX 1060 in an Intel(R) Core(TM) i7-4790 CPU at 3.60GHz with 16GB RAM, running Windows 10 Proffesional Edition. This GPU took about 35 minutes to probable prime (PRP) test with GeneferOCL2.

The prime was verified on 14 December 2018, 14:47:41 by Andreas Zenker (Buddy) of Austria Republic using an NVIDIA GeForce GTX 1060 GPU in an Intel(R) Core(TM)2 Quad CPU at 2.50GHz 4GB RAM, running Windows 7 Professional Edition. This GPU took about 42 minutes to probable prime (PRP) test with GeneferOCL2. Andreas is a member of Team PC-Reflate.

The PRP was confirmed prime by an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Microsoft Windows 10 Professional. This computer took about 4 hours 59 minutes to complete the primality test using LLR.

For more details, please see the official announcement.
22 Dec 2018 | 13:28:43 UTC · Comment

... more

News is available as an RSS feed

### Newly reported primes

(Mega-primes are in bold.)

3005*2^1528923+1 (Scott Brown); 8537*2^1529043+1 (Olgar); 5825*2^1528821+1 (Scott Brown); 55836122^65536+1 (Howdy2u2); 55837944^65536+1 (Brook Harste); 4845*2^1528682+1 (Scott Brown); 8263*2^1528602+1 (4bc3); 8555*2^1528599+1 (dthonon); 55740434^65536+1 (CGB); 7835*2^1528449+1 (SEARCHER); 4300991055405*2^1290000-1 ([AF>Libristes] ElGuillermo); 5935*2^1528100+1 (FishFry); 657*2^2705620+1 (Keith); 3131*2^1528073+1 (Darryl); 9809*2^1527889+1 (ILW8); 2229*2^1524714+1 (Randall J. Scalise); 57704312^131072+1 (DeleteNull); 57694224^131072+1 (dh1saj); 6609*2^1527883+1 (Grebuloner); 55396316^65536+1 (Mektacular)

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