PrimeGrid

Digits	Prime Rank¹	App Types		Sub-Project	Available Tasks A² / B^3,4,5			UTC time	2023-03-23 09:13:12
6 040 725	20	CPU ^{MT F}		321 Prime Search (LLR)	1006	/	1000	User Count	353 772
7 137 212	13	CPU ^{MT F}		Cullen Prime Search (LLR)	754	/	1000	Host Count	827 962
7 013 052	13	CPU ^{MT F}		Extended Sierpinski Problem (LLR)	764	/	12K	Hosts Per User	2.34
5 813 869	22	CPU ^{MT F}		Generalized Cullen/Woodall Prime Search (LLR)	750	/	1000	Tasks in Progress	199 461
8 702 582	11	CPU ^{MT F}		Prime Sierpinski Problem (LLR)	2503	/	15K	Primes Discovered	89 713
1 200 794	467	CPU ^{MT F}		Proth Prime Search (LLR)	1497	/	106K	Primes Reported⁶ at T5K	33 182
522 819	5K+	CPU ^{MT F}		Proth Prime Search Extended (LLR)	4006	/	1676K	Mega Primes Discovered	1 553
1 042 969	1082	CPU ^{MT F}		Proth Mega Prime Search (LLR)	3973	/	162K	TeraFLOPS	2 999.180
11 753 775	7	CPU ^{MT F}		Seventeen or Bust (LLR)	408	/	10K	PrimeGrid's 2023 Challenge Series International Women's Day Challenge Mar 8 15:00:00 to Mar 9 14:59:59 (UTC) Time until Gotthold Eisenstein's Birthday challenge: Days Hours Min Sec Standings International Women's Day Challenge (SGS): Individuals \| Teams
2 989 507	106	CPU ^{MT F}		Sierpinski / Riesel Base 5 Problem (LLR)	1500	/	12K
388 342	5K+	CPU ^MT		Sophie Germain Prime Search (LLR)	7427	/	1263K
4 347 114	43	CPU ^{MT F}		The Riesel Problem (LLR)	1062	/	2000
6 889 196	13	CPU ^{MT F}		Woodall Prime Search (LLR)	754	/	1000
		CPU	GPU	Proth Prime Search (Sieve)	2454	/	∞
279 486	5K+		GPU	Generalized Fermat Prime Search (n=15)	991	/	201K
551 604	4424	CPU ^{MT F}	GPU ^F	Generalized Fermat Prime Search (n=16)	1462	/	530K
1 075 267	679	CPU ^{MT F}	GPU ^F	Generalized Fermat Prime Search (n=17 mega)	1005	/	680K
1 928 817	233	CPU ^{MT F}	GPU ^F	Generalized Fermat Prime Search (n=18)	998	/	30K
3 558 446	69	CPU ^{MT F}	GPU ^F	Generalized Fermat Prime Search (n=19)	1008	/	10K
6 625 786	13	CPU ^{MT F}	GPU ^F	Generalized Fermat Prime Search (n=20)	1001	/	10K
12 548 156	7	CPU ^{MT4+ F}	GPU ^F	Generalized Fermat Prime Search (n=21)	396	/	25K
22 784 727	3	CPU ^{MT4+ F}	GPU ^F	Generalized Fermat Prime Search (n=22)	208	/	15K
25 239 812	> 1 <		GPU ^F	Do You Feel Lucky?	202	/	602
		CPU ^MT	GPU	AP27 Search	1350	/	∞
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.
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.

PrimeGrid now supports Intel ARC GPU apps and native Apple M1/M2 CPU and GPU apps
Effective immediately, PrimeGrid has apps for the following sub-projects for the new hardware:

Native Apple M1/M2 ARM CPU apps are available on GFN-17 through GFN-22.

Native M1/M2 GPU apps are available on GFN-16 through GFN-22 as well as DYFL.

Intel ARC GPU apps are available on GFN-16 through GFN-22 as well as DYFL.

Discussion about the new apps can be found on our Discord server, or in this forum thread. 5 Dec 2022 | 22:00:06 UTC · Comment

GFN 20 Found!
On 9 August 2022, 11:56:02 UTC, PrimeGrid’s Generalized Fermat Prime Search found the Generalized Fermat mega prime:

1951734^1048576+1

The prime is 6,595,985 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 Kazuya Tanaka (apophise@jisaku) of Japan using an NVIDIA GeForce RTX 3080 Ti in an Intel(R) Core(TM) i7-9700K CPU @ 3.60GHz with 64GB RAM, running Microsoft Windows 10 Professional x64 Edition. This GPU took about 1 hour, 2 minutes to complete the probable prime (PRP) test using GeneferOCL5. Kazuya Tanaka is a member of Team 2ch.

The prime was verified on 10 August 2022, 17:39:14 UTC by Jens Katzur (Landjunge) of Germany using an NVIDIA GeForce RTX 3070 in an Intel(R) Xeon(R) CPU X5675 @ 3.07GHz with 40GB RAM, running Linux Ubuntu. This computer took about 1 hour, 36 minutes to complete the probable prime (PRP) test using GeneferOCL5. Jens Katzur is a member of Planet 3DNow!.

The PRP was confirmed prime on 11 August 2022 by an AMD Ryzen 9 5950X @3.4GHz, running Linux Mint. This computer took about 51 hours, 52 minutes to complete the primality test using LLR2.

For more details, please see the official announcement. 17 Sep 2022 | 1:24:25 UTC · Comment

SR5 Mega Prime Find!
On 19 June 2022, 04:26:15 UTC, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=63838 by finding the mega prime:

63838*5^3887851-1

The prime is 2,717,497 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 99th overall. 58 k’s now remain in the Riesel Base 5 problem.

The discovery was made by Scott Lee (freestman) of China using an AMD Ryzen 5 2600X Six-Core Processor with 32GB RAM, running Microsoft Windows 11 Professional x64 Edition. This computer took about 4 hours, 34 minutes to complete the prp test using LLR2. Scott is a member of the team, Chinese Dream.

The prime was verified on 19 June 2022, 22:29 UTC, by an Intel(R) Core(TM) i3-9100F CPU @ 3.60GHz with 16GB RAM, running Linux. This computer took about 11 hours and 57 minutes to complete the primality test using LLR2.

For more details, please see the official announcement. 18 Jul 2022 | 19:26:44 UTC · Comment

GFN 19 Found!
On 15 May 2022, 17:29:48 UTC, PrimeGrid's Generalized Fermat Prime Search found the Mega Prime:

4896418^524288+1

The prime is 3,507,424 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 3rd for Generalized Fermat primes and 54th overall.

The discovery was made by Tom Greer (tng) of the United States using a GeForce RTX 3060 in an Intel(R) Core(TM) i7-6700 CPU @ 3.40GHz with 24GB RAM, running Microsoft Windows 10 Core x64 Edition. This GPU took about 1 hour, 1 minute to complete the probable prime (PRP) test using GeneferOCL2. Tom Greer is a member of Antarctic Crunchers.

The prime was verified on 16 May 2022, 19:12:23 UTC by Albert Pastuszka (User B@P) of Poland using a GeForce GTX 750 in an AMD Athlon(tm) II X3 445 Processor with 6GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 6 hours, 46 minutes to complete the probable prime (PRP) test using GeneferOCL2. Albert Pastuszka is a member of BOINC@Poland.

The PRP was confirmed prime by an AMD Ryzen 5 3600 6-Core Processor with 4GB RAM, running Linux Ubuntu. This computer took about 22 hours, 17 minutes to complete the primality test using LLR.

For more details, please see the official announcement. 22 May 2022 | 23:50:20 UTC · Comment

Another 321 Mega Prime!
On 24 March 2022, 17:27:33 UTC, PrimeGrid’s 321 Prime Search found the Mega Prime:

3*2^18924988-1

The prime is 5,696,990 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 18th overall.

The discovery was made by Frank Matillek (boss) of Germany using an Intel CPU with 1GB RAM, running Ubuntu Linux. This computer took about 1 day, 1 hour, 39 minutes to complete the primality test using LLR2. Frank Matillek is a member of the SETI.Germany team.

For more details, please see the official announcement. 8 May 2022 | 14:13:50 UTC · Comment

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