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Digits	Prime Rank¹	App Types		Sub-Project	Available Tasks A² / B^3,4,5			UTC time	2024-09-09 14:45:45
6 640 942	17	CPU ^{MT F}		321 Prime Search (LLR)	1012	/	1000	User Count	355 374
7 842 831	13	CPU ^{MT F}		Cullen Prime Search (LLR)	4493	/	8912	Host Count	863 354
8 228 860	13	CPU ^{MT F}		Extended Sierpinski Problem (LLR)	749	/	12K	Hosts Per User	2.43
6 616 361	17	CPU ^{MT F}		Generalized Cullen/Woodall Prime Search (LLR)	752	/	1000	Tasks in Progress	102 721
10 114 903	10	CPU ^{MT F}		Prime Sierpinski Problem (LLR)	400	/	5338	Primes Discovered	96 206
3 155 818	135	CPU ^{MT F}		Primorial Prime Search	1504	/	11K	Primes Reported⁶ at T5K	35 301
1 609 233	488	CPU ^{MT F}		Proth Prime Search (LLR)	1501	/	208K	Mega Primes Discovered	2 209
600 199	4979	CPU ^{MT F}		Proth Prime Search Extended (LLR)	3812	/	782K	TeraFLOPS	1 911.918
12 844 000	6	CPU ^{MT F}		Seventeen or Bust (LLR)	399	/	3562	PrimeGrid's 2024 Challenge Series International Cat Day Challenge Aug 8 08:08:00 to Aug 13 08:07:59 (UTC) Time until Autumnal Equinox challenge: Days Hours Min Sec Standings International Cat Day Challenge (Primorial): Individuals \| Teams
3 441 099	109	CPU ^{MT F}		Sierpinski / Riesel Base 5 Problem (LLR)	1501	/	41K
4 817 165	46	CPU ^{MT F}		The Riesel Problem (LLR)	1001	/	2000
7 331 505	15	CPU ^{MT F}		Woodall Prime Search (LLR)	772	/	1000
		CPU		Sierpinski / Riesel Base 5 Problem (Sieve)	956	/	∞

564 532	5K+	CPU ^{MT F}	GPU ^F	Generalized Fermat Prime Search (n=16)	1506	/	514K
1 098 815	959	CPU ^{MT F}	GPU ^F	Generalized Fermat Prime Search (n=17 mega)	1029	/	432K
1 995 898	299	CPU ^{MT F}	GPU ^F	Generalized Fermat Prime Search (n=18)	1002	/	61K
3 706 286	84	CPU ^{MT F}	GPU ^F	Generalized Fermat Prime Search (n=19)	1008	/	10K
6 884 172	17	CPU ^{MT F}	GPU ^F	Generalized Fermat Prime Search (n=20)	1009	/	3351
13 004 503	5	CPU ^{MT4+ F}	GPU ^F	Generalized Fermat Prime Search (n=21)	403	/	1748
23 423 910	2	CPU ^{MT4+ F}	GPU ^F	Generalized Fermat Prime Search (n=22)	200	/	3151
25 521 546	> 1 <		GPU ^F	Do You Feel Lucky?	219	/	813
		CPU ^MT	GPU	AP27 Search	1344	/	∞
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. ^MT4+ Multithreading via web-based preferences is mandatory, requiring a minimum of 4 threads.

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 b^2ⁿ+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.
Seventeen or Bust: helping to solve the Sierpinski Problem.
Sierpinski/Riesel Base 5: helping to solve the Sierpinski/Riesel Base 5 Problem.
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.

PRS Found!
On 27 July 2024, 09:18:10 UTC, PrimeGrid's Primorial Prime Search found the Primorial Prime:

4328927#+1

The prime is 1,878,843 digits long and will enter “The Largest Known Primes Database” ranked 1st for Primorial primes and 373rd overall.

The discovery was made by Kai Presler (Aperture_Science_Innovators) of Antarctica using an Intel(R) Xeon(R) CPU E7-8890 v4 @ 2.20GHz with 256GB RAM, running Linux Mint 21.1. This computer took about 6 hours, 53 minutes to complete the probable prime (PRP) test using PRST. Kai Presler is a member of the [H]ard|OCP team.

The PRP was confirmed prime on 29 July 2024 by an AMD Ryzen 9 7950X3D @ 4.20GHz with 128GB RAM, running Debian 12.5. This computer took about 2 days, 3 hours, 38 minutes to complete the primality test using PFGW with 4 threads.

For more details, please see the official announcement. 20 Aug 2024 | 2:12:19 UTC · Comment

COMPLETED (A Call to Arms! We Need Your Help!)
A message from Stream regarding the Primorial project and the upcoming challenge:

tl;dr: We're done. Thank you!

Update

All task within 15T-40T were sent to users. 85% of workunits completed and verified. Rush hours are over!

Before leaving, please complete all buffered tasks within affected low range. These tasks have 5 digits in names - like "fpsieve_15678_xxxxxx".

If you have only tasks with 7 digits in names, like "fpsieve_1078123_xxxxx", it's OK to leave the project. But I'll ask you stay here, unless you have high priority goals, for a week or so to process tasks aborted / timed out by other users.

Attention! More primorial sieving is required on GFN Server!

Considering insane computing power added during challenges, it may happen that we'll reach 10M during primorial challenge. Next range (10M-25M) was added to the sieve file later and currently is not sieved completely. There is a gap in sieving between 15T-40T, i.e. inside relatively low range where lot of factors will be found. I planned to sieve it myself, eventually (80 days for a single 4070) but we're already progressing very fast and challenge will push leading edge even further.

To make challenge most efficient and avoid testing of useless candidates which can be removed by sieving, please return back for few days to the primorial sieve on GFN Server. Current sieving leading edge is 1067T. At 1070T server will automatically jump back to 15T and return to old position after 40T. I hope that such a small range (25T) will take only few days with combined effort and complete sieve file will be ready before challenge.
2 Aug 2024 | 19:00:04 UTC · Comment

International Cat Day Challenge on new Primorial Search BOINC project
From August 8^th 08:08:00 UTC to August 13^th 08:08:00 PrimeGrid will be running a 5 day challenge on the newly migrated Primorial Search (PRS) project. Note the unusual start and end times!

For more information, please see this forum thread. 1 Aug 2024 | 11:21:24 UTC · Comment

Another GFN 19 Found!
On 22 June 2024, 23:51:45 UTC, PrimeGrid's Generalized Fermat Prime Search found the Mega Prime:

9332124^524288+1

The prime is 3,654,278 digits long and will enter “The Largest Known Primes Database” ranked 12th for Generalized Fermat primes and 85th overall.

The discovery was made by Detlef Lexut ([SG]KidDoesCrunch) of Germany using an NVIDIA GeForce RTX 3090 in an Intel(R) Core(TM) i9-10940X CPU @ 3.30GHz with 64GB RAM, running Microsoft Windows 11 Professional x64 Edition. This computer took about 27 minutes to complete the probable prime (PRP) test using Genefer23. Detlef Lexut is a member of the SETI.Germany team.

The PRP was confirmed prime on 23 June 2024 by an AMD Ryzen 9 5950X @ 3.4GHz with 128GB RAM, running Linux Mint 20.3. This computer took about 15 hours, 43 minutes to complete the primality test using LLR.

For more details, please see the official announcement.
15 Jul 2024 | 22:36:13 UTC · Comment

GFN 19 Found!
On 19 June 2024, 05:29:47 UTC, PrimeGrid's Generalized Fermat Prime Search found the Mega Prime:

10913140^524288+1

The prime is 3,689,913 digits long and will enter “The Largest Known Primes Database” ranked 11th for Generalized Fermat primes and 81st overall.

The discovery was made by Heinrich Podsada (PoHeDa) of Germany using an NVIDIA GeForce RTX 3070 in an AMD Ryzen 9 5950X 16-Core Processor @ 3.40GHz with 64GB RAM, running Microsoft Windows 11 Professional x64 Edition. This computer took about 50 minutes to complete the probable prime (PRP) test using Genefer23. Heinrich Podsada is a member of the SETI.Germany team.

The PRP was confirmed prime on 20 June 2024 by an AMD Ryzen 9 5950X @ 3.4GHz with 128GB RAM, running Linux Mint 20.3. This computer took about 15 hours, 56 minutes to complete the primality test using LLR.

For more details, please see the official announcement.
15 Jul 2024 | 22:27:37 UTC · Comment

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