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.
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 27 July 2024, 09:18:10 UTC, PrimeGrid's Primorial Prime Search found the Mega 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.
On 22 June 2024, 23:51:45 UTC, PrimeGrid's Generalized Fermat Prime Search found the Mega Prime
9332124524288+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 Genefer22. 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.
On 19 June 2024, 5:29:47 UTC, PrimeGrid's Generalized Fermat Prime Search found the Mega Prime
10913140524288+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 Genefer22. 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.
The prime is 3,710,349 digits long and will enter “The Largest Known Primes Database” ranked 13th for Generalized Fermat primes and 88th overall.
The discovery was made by Murray Sondergard (Sondergard) of Canada using an NVIDIA GeForce GTX 1080 Ti in an Intel(R) Core(TM) i7-5960X @ 3.00GHz with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 1 hour, 21 minutes to complete the probable prime (PRP) test using Genefer22. Murray Sondergard is a member of the Canada team.
The PRP was confirmed prime on 7 October 2024 by an AMD Ryzen 9 7950X3D @ 4.20GHz with 128GB RAM, running Debian 12.5. This computer took about 14 hours, 18 minutes to complete the primality test using LLR.
The discovery was made by Nick Merrylees (Nick) of Australia using an Intel(R) Core(TM) i9-9960X @ 3.10GHz with 64GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 5 hours, 55 minutes to complete the probable prime (PRP) test using PRST with 5 threads. Nick Merrylees is a member of BOINC@AUSTRALIA.
The PRP was confirmed prime on 15 August 2024 by an AMD Ryzen 9 7950X3D @ 4.20GHz with 128GB RAM, running Debian 12.5. This computer took about 3 days, 44 minutes to complete the primality test using PFGW with 4 threads.
The discovery was made by Tom Greer (tng) of the United States using an AMD Ryzen 9 9950X @ 4.30GHz with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 4 hours, 24 minutes to complete the probable prime (PRP) test using PRST with 4 threads. Tom Greer is a member of Antarctic Crunchers.
The PRP was confirmed prime on 17 August 2024 by an AMD Ryzen 9 7950X3D @ 4.20GHz with 128GB RAM, running Debian 12.5. This computer took about 5 days, 6 hours, 49 minutes to complete the primality test using PFGW with 4 threads.
The discovery was made by Itsuki Kadowaki (Su_Root@jisaku) of Japan using an AMD Ryzen 9 7950X3D @ 4.20GHz with 64GB RAM, running Microsoft Windows 11 Professional x64 Edition. This computer took about 2 hours, 47 minutes to complete the probable prime (PRP) test using PRST with 4 threads. Itsuki Kadowaki is a member of Team 2ch.
The PRP was confirmed prime on 9 August 2024 by an AMD Ryzen 9 7950X3D @ 4.20GHz with 128GB RAM, running Debian 12.5. This computer took about 3 days, 13 minutes to complete the primality test using PFGW with 4 threads.
The discovery was made by Kai Presler (Aperture_Science_Innovators) of Antarctica using an AMD EPYC 7662 64-Core Processor @ 2.0GHz with 64GB RAM, running Linux Mint 21.1. This computer took about 4 hours, 34 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 6 August 2024 by an AMD Ryzen 9 7950X3D @ 4.2GHz with 128GB RAM, running Debian 12.5. This computer took about 5 days, 9 hours, 22 minutes to complete the primality test using PGFW with 4 threads.
