* Only 13 tasks, 8 affecting scoring positions, of Geminids Shower Challenge (GFN-21) cleanup work are currently available! *
* Only 6 tasks, 5 affecting scoring positions, of Geminids Shower Challenge (DYFL) cleanup work are currently available! *
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. MT-A Multithreading via app_config.xml is available.
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 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.
On 7 December 2021, 14:48:06 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Problem project eliminated k=273662 by finding the Mega Prime
273662·53493296-1
The prime is 2,441,715 digits long and enters Chris Caldwell's The Largest Known Primes Database
ranked 97th overall. 60 k's now remain in the Riesel Base 5 problem.
The discovery was made by Lukas Plätz (Lukas) of Germany using an AMD Ryzen 7 3700X 8-Core Processor with 16GB RAM, running Linux Mint.
This computer took about 2 hours 57 minutes to complete the PRP test using LLR2.
The prime was verified on 8 December 2021, 09:52 UTC, by an AMD Ryzen 9 5900X 12-Core Processor with 64GB RAM, running Linux Mint. This computer took about 15 hours and 49 minutes to complete the primality test using LLR2.
The discovery was made by Pavel Atnashev (Pavel Atnashev) of Russia using an Intel(R) Xeon(R) E5-2695 v2 CPU @ 2.40GHz with 16GB RAM running Tiny Core Linux.
This computer took 10 hours 59 minutes to complete the primality test using LLR2. Pavel Atnashev is a member of the Ural Federal University.
On 18 September 2021, 06:50:25 UTC, PrimeGrid's Primorial Prime Search through PRPNet found the Mega Prime
3267113#-1
The prime is 1,418,398 digits long and enters Chris Caldwell's The Largest Known Primes Database
ranked 1st for Primorial primes and 286th overall.
The discovery was made by James Winskill (Aeneas) of New Zealand using an Intel(R) Xeon(R) W-2125 CPU @ 4.00GHz with 64GB RAM running Windows 10.
This computer took 20 hours 32 minutes to complete the PRP test using pfgw64. James Winskill is a member of the PrimeSearchTeam.
The prp was verified on 26 September 2021, 01:56:46 UTC by an Intel i7-7700K @ 4.2 GHz with 16 GB RAM, running Gentoo/Linux. This computer took a little over 5 days 8 hours 38 minutes to verify primality of the prp using pfgw64.
On 8 October 2021, 01:38:53 UTC, PrimeGrid's Sierpinski/Riesel Base 5 Problem project eliminated k=102818 by finding the Mega Prime
102818·53440382-1
The prime is 2,404,729 digits long and enters Chris Caldwell's The Largest Known Primes Database
ranked 96th overall. 61 k's now remain in the Riesel Base 5 problem.
The discovery was made by Wes Hewitt (emoga) of Canada using an AMD Ryzen 9 5950X 16-Core Processor with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition.
This computer took about 1 hour and 29 minutes to complete the PRP test using LLR2. Wes Hewitt is a member of the TeAm AnandTech team.
The prime was verified on 10 October 2021, 20:14 UTC, by an Intel(R) Core(TM) i7-9800X CPU @ 3.80GHz with 32GB of RAM, running CentOS. This computer took 20 hours and 39 minutes to complete the primality test using LLR2.
SR5 Mega Prime Find! On 7 December 2021, 14:48:06 UTC, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=273662 by finding the mega prime:
The discovery was made by Lukas Plätz (Lukas) of Germany using an AMD Ryzen 7 3700X 8-Core Processor with 16GB RAM, running Linux Mint. This computer took about 2 hours, 57 minutes to complete the prp test using LLR2.
The prime was verified on 8 December 2021, 09:52 UTC, by an AMD Ryzen 9 5900X 12-Core Processor with 64GB RAM, running Linux Mint. This computer took about 15 hours and 49 minutes to complete the primality test using LLR2.
The prime is 6,418,121 digits long and will enter Chris Caldwell's The Largest Known Primes Database ranked 13th overall. This find eliminates k=202705; 8 k's remain in the Extended Sierpinski Problem.
The discovery was made by Pavel Atnashev (Pavel Atnashev) of Russia using an Intel(R) Xeon(R) E5-2695 v2 CPU @ 2.40GHz with 16GB RAM running Tiny Core Linux. This computer took about 10 hours, 59 minutes to complete the primality test using LLR2. Pavel is a member of the Ural Federal University team.
The discovery was made by James Winskill (Aeneas) of New Zealand using an Intel(R) Xeon(R) W-2125 CPU @ 4.00GHz with 64GB RAM running Windows 10. This computer took 20 hours 32 minutes to complete the prp test using pfgw64. James Winskill is a member of the PrimeSearchTeam.
The prp was verified on 26 September 2021, 01:56:46 UTC by an Intel i7-7700K @ 4.2 GHz with 16 GB RAM, running Gentoo/Linux. This computer took a little over 5 days 8 hours 38 minutes to verify primality of the prp using pfgw64.
SR5 Mega Prime Find! On 8 October 2021, 01:38:53 UTC, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=102818 by finding the mega prime:
The discovery was made by Wes Hewitt (emoga) of Canada using an AMD Ryzen 9 5950X 16-Core Processor with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 hour, 29 minutes to complete the primality test using LLR2. Wes Hewitt is a member of TeAm AnandTech team.
The prime was verified on 10 October 2021, 20:14 UTC, by an Intel(R) Core(TM) i7-9800X CPU @ 3.80GHz with 32GB of RAM, running CentOS. This computer took 20 hours and 39 minutes to complete the primality test using LLR2.
