The discovery was made by Arno Lehmann ( Zyfdnug) of Germany using an AMD Ryzen 9 7900X 4.7GHz with 64GB RAM, running Debian GNU/Linux 12 (bookworm). This is the largest known prime for the 3*2^n-1 form. The prime is 6,300,184 digits long and will enter Chris Caldwell's “The Largest Known Primes Database” ranked 19th overall. On 5 July 2023, 17:48:23 UTC, PrimeGrid's 321 Prime Search found the Mega Prime: More information, and discussion, can be found here. The GPU apps will be removed, and the sieve fully suspended, somewhat later. The CPU apps will be removed 30 days from now, on October 4 th. We are therefore suspending the PPS sieve. The PPS Sieve has advanced well beyond the searches that use the sieve, and it will be many years before more sieving is needed. Sieving for Proth Prime Search to be suspended Thoughts? Theories? Tidbits? Truisms? Trivialities? Read more and join the discussion at | 18:12:46 UTC To participate in the Challenge, please select only the Seventeen or Bust (LLR) project in your PrimeGrid preferences section. The challenge will be offered on the SOB-LLR application, beginning 13 September 11:00 UTC and ending 23 September 11:00 UTC. The seventh challenge of the 2023 Series will be a 10-day challenge celebrating World Peace Day, also known as the International Day of Peace, an annual United Nations holiday observed on September 21st. World Peace Day Challenge starts September 13th 11:00 UTC! (Note that the plan has since changed and PPS-MEGA is shutting down instead of PPSE.) | 21:28:20 UTC We recently took a look at the projects that we are running and decided to make some changes.įor more information, and discussion, see this thread: PPS-Sieve, PPSE, GFN-15, SGS, and AP27 are shutting down. PPS-Sieve, PPSE, GFN-15, SGS, and AP27 are shutting down PPS-MEGA is shutting down on October 19th, while PPSE will continue running to its natural end at one million digits. Revised: PPSE gets a reprieve but PPS-MEGA is shutting downĪfter a lot of discussion, some changes have been made in the projects that are closing. AP27 Search: searching for record length arithmetic progressions of primes.The Riesel problem: helping to solve the Riesel Problem.Sophie Germain Prime Search: searching for primes p and 2p+1.Sierpinski/Riesel Base 5: helping to solve the Sierpinski/Riesel Base 5 Problem.Seventeen or Bust: helping to solve the Sierpinski Problem.Fermat Divisor Search: a subset of the Proth Prime Search specificically searching for divisors of. Proth Prime Search: searching for primes of the form k♲ n+1.Prime Sierpinski Project: helping the Prime Sierpinski Project solve the Prime Sierpinski Problem.Generalized Fermat Prime Search: searching for.Extended Sierpinski Problem: helping solve the Extended Sierpinski Problem.Generalized Cullen-Woodall Search: searching for mega primes of forms n.PrimeGrid is currently running several sub-projects: MT4+ Multithreading via web-based preferences is mandatory, requiring a minimum of 4 threads. MT Multithreading via web-based preferences is available. Many of these are no longer in the top 5000.į Uses fast proof tasks so no double check is necessary. 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".Ħ Includes all primes ever reported by PrimeGrid to Top 5000 Primes list. If B is infinite (∞), there's essentially an unlimited amount of work available.ĥ 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. If the B number is not underlined, new candidates (B) are also automatically created from sieve files, which typically contain millions of candidates. If both numbers are 0, we've run out of work.Ĥ Underlined work is loaded manually. If the first number (A) is 0, something is broken. "5K+" means the primes are too small to make the list.Ģ First "Available Tasks" number (A) is the number of tasks immediately available to send.ģ Second "Available Tasks" number (B) is additional candidates that have not yet been turned into workunits. Generalized Fermat Prime Search (n=17 mega)ġ "Prime Rank" is where the leading edge candidate, if prime, would appear in the Top 5000 Primes list. Generalized Fermat Prime Search (n=15) (ending soon) Sophie Germain Prime Search (LLR) (ending soon) World Peace Day Challenge (SoB): Individuals | Teams
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