PrimeGrid

Digits	Prime Rank¹	App Types		Sub-Project	Available Tasks A² / B^3,4,5			UTC time	2022-07-06 07:43:30
5 871 948	17	CPU ^{F MT}		321 Prime Search (LLR)	1005	/	1000	User Count	353 154
6 672 860	13	CPU ^{F MT}		Cullen Prime Search (LLR)	901	/	1000	Host Count	699 478
6 750 940	13	CPU ^{F MT}		Extended Sierpinski Problem (LLR)	1430	/	10K	Hosts Per User	1.98
5 517 755	21	CPU ^{F MT}		Generalized Cullen/Woodall Prime Search (LLR)	751	/	1000	Tasks in Progress	193 600
8 293 894	11	CPU ^{F MT}		Prime Sierpinski Problem (LLR)	401	/	1684	Primes Discovered	87 031
985 559	1519	CPU ^{F MT}		Proth Prime Search (LLR)	1490	/	399K	Primes Reported⁶ at T5K	31 828
512 314	5K+	CPU ^{F MT}		Proth Prime Search Extended (LLR)	3995	/	1028K	Mega Primes Discovered	1 076
1 031 680	762	CPU ^{F MT}		Proth Mega Prime Search (LLR)	3993	/	100K	TeraFLOPS	3 477.567
11 435 122	7	CPU ^{F MT}		Seventeen or Bust (LLR)	601	/	11K	PrimeGrid's 2022 Challenge Series M.C. Escher's Birthday Challenge Jun 17 13:00:00 to Jun 22 12:59:59 (UTC) Time until Pi Approximation Day challenge: Days Hours Min Sec Standings Geek Pride Day Challenge (GFN-19): Individuals \| Teams M.C. Escher's Birthday Challenge (SR5-LLR): Individuals \| Teams
2 792 822	97	CPU ^{F MT}		Sierpinski / Riesel Base 5 Problem (LLR)	11548	/	107K
388 342	5K+	CPU ^MT		Sophie Germain Prime Search (LLR)	7492	/	276K
3 834 573	50	CPU ^{F MT}		The Riesel Problem (LLR)	1857	/	2000
6 470 406	13	CPU ^{F MT}		Woodall Prime Search (LLR)	924	/	1000
		CPU	GPU	Proth Prime Search (Sieve)	2433	/	∞
277 630	5K+		GPU	Generalized Fermat Prime Search (n=15)	985	/	153K
537 772	3862	CPU ^MT	GPU	Generalized Fermat Prime Search (n=16)	1488	/	207K
1 055 382	534	CPU ^MT	GPU	Generalized Fermat Prime Search (n=17 mega)	996	/	39K
1 887 012	203	CPU ^MT	GPU	Generalized Fermat Prime Search (n=18)	1000	/	31K
3 529 339	56	CPU ^MT	GPU	Generalized Fermat Prime Search (n=19)	1000	/	46K
6 594 268	13	CPU ^MT	GPU	Generalized Fermat Prime Search (n=20)	1001	/	9042
12 394 191	7	CPU	GPU	Generalized Fermat Prime Search (n=21)	401	/	16K
22 494 189	3		GPU	Generalized Fermat Prime Search (n=22)	201	/	13K
25 115 595	> 1 <		GPU	Do You Feel Lucky?	201	/	1391
		CPU ^MT	GPU	AP27 Search	1112	/	∞
		CPU ^MT	GPU	Wieferich and Wall-Sun-Sun Prime Search	991	/	∞
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.

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.

M.C. Escher's Birthday Challenge starts June 17th
The fourth challenge of the 2022 Series will be a 5-day challenge marking the 124th birthday of Maurits Cornelis Escher, one of the world’s most famous graphic artists. His art is admired by millions of people worldwide, as can be seen by the many websites on the internet. The challenge will be offered on the SR5-LLR application, beginning 17 June 13:00 UTC and ending 22 June 13:00 UTC.

To participate in the Challenge, please select only the Sierpinski/Riesel Base 5 Prime Search LLR (SR5) project in your PrimeGrid preferences section.

Comments? Concerns? Conundrums? Check out the forum thread for this challenge: http://www.primegrid.com/forum_thread.php?id=9941&nowrap=true#155914

Happy crunching! 14 Jun 2022 | 2:39:31 UTC · Comment

Geek Pride Day Challenge starts May 25
The third challenge of the 2022 Series will be a 5-day challenge celebrating geeks, freaks, nerds, dorks, dweebs, and "weird" people of all kinds! The challenge will be offered on the GFN-19 subproject, beginning 25 May 18:00 UTC and ending 30 May 18:00 UTC.

To participate in the Challenge, please select only the GFN-19 subproject in your PrimeGrid preferences section.

For more info and discussion, check out the forum thread for this challenge: https://www.primegrid.com/forum_thread.php?id=9915&nowrap=true#155479 23 May 2022 | 22:18:31 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

321 Mega Prime!
On 8 January 2022, 20:46:05 UTC, PrimeGrid’s 321 Prime Search found the Mega Prime:

3*2^18196595-1

The prime is 5,477,722 digits long and has entered Chris Caldwell's “The Largest Known Primes Database” ranked 20th overall.

The discovery was made by an anonymous user of Poland using an Intel(R) Core(TM) i9-9900K CPU @ 3.60GHz with 32GB RAM, running Microsoft Windows 10 Professional x64 edition. This computer took about 2 hours, 40 minutes to complete the primality test using LLR2.

For more details, please see the official announcement. 8 May 2022 | 14:08:39 UTC · Comment

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