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PrimeGrid's primary goal is to bring the excitement of prime finding to the "everyday" computer user. 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 Largest Known Primes Database as a Titan!

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
  • Extended Sierpinski Project: helping to solve the Extended Sierpinski Problem
  • Prime Sierpinski Project: helping Prime Sierpinski Project solve the Prime Sierpinski Problem
  • Proth Prime Search: searching for primes of the form k·2n+1
  • Primorial Prime Search: searching for primes of the form p#+1 and p#-1
  • Seventeen or Bust: helping to solve the Sierpinski Problem
  • Sierpinski/Riesel Base 5 Project: helping to solve the Sierpinski/Riesel Problem with base 5
  • The Riesel problem: helping to solve the Riesel Problem
  • Generalized Fermat Prime Search: searching for Generalized Fermat primes
  • AP27 Search: Search for Primes with arithmetic progression


Primegrid progress

Projekt Digits Status Info
321 Prime Search 6.709.818 Range Statistics
Cullen prime search 7.970.297 Range Statistics
Extended Sierpinski Project 8.284.356 8k left
Generalized Cullen/Woodall Prime Search 7.032.991 9k left
Prime Sierpinski Problem 10.706.686 7k left
Primorial Prime Search 3.616.681 Range Statistics
Proth Prime Search 1.681.710
Proth Prime Search Extended 606.065 keine Top5000 Primes
Seventeen or Bust 12.935.658 5k left
Sierpinski Riesel Base 5 LLR 3.637.353 29k/52k left
Sierpinski Riesel Base 5 Sieve
The Riesel Problem 4.847.303 42k left
Woodall prime search 7.380.278 Range Statistics
Generalized Fermat Prime Search (n=16) 565.462 Range Statistics keine Top5000 Primes
Generalized Fermat Prime Search (n=17) 1.101.365 Range Statistics
Generalized Fermat Prime Search (n=18) 2.000.893 Range Statistics
Generalized Fermat Prime Search (n=19) 3.716.987 Range Statistics
Generalized Fermat Prime Search (n=20) 6.902.029 Range Statistics
Generalized Fermat Prime Search (n=21) 13.081.323 Range Statistics
Generalized Fermat Prime Search (n=22) 23.487.530 Range Statistics
Generalized Fermat Prime Search WR (Do You Feel Lucky? n=23) 41.167.523 Range Statistics World Record Search
AP27 Search [erweitert auf AP28]

Project Staging Area

The PSA was created to research, test, and prepare future projects for PrimeGrid BOINC. It has also expanded to include additional projects that will not enter BOINC. While we attempt to do most of the prep work internally, some efforts are so large that we need the assistance of the community.

Sieving

  • Generalized Fermat Number Prime Sieving (paused)

There are currently no active sieving projects in the PSA.

PRPNet

There are currently no active PRPNet projects.

Project Badges Status
321
321 Sieve suspended
AP27
Cullen
Cullen/Woodall Sieve
Extended Sierpinski Project
GCW
GCW Sieve suspended
Genefer
PPS
PPS Sieve
Project Staging Area (PSA) paused
PSP
PSP Sieve suspended
SGS
SoB
SR5
TPS ended
TRP
TRP Sieve suspended
Woodall

Future Projects (planned):

  • Factorial Prime Search (from PRPNet)
  • Factorial / Primorial Sieve (from Private GFN Server)

Finished Projects:

PRPnet

  • 121 Search
  • 27 Search
  • Dual Sierpinski Problem (double check)
  • Extended Sierpinski Project (now boinc)
  • PPSE (now boinc) and PPSElow
  • Proth Mega Prime Search (now boinc)
  • Sierpinski/Riesel Base 5 Project (now boinc)
  • Sophie Germain Prime Search (now boinc)
  • The Riesel Problem (double check)
  • Generalized Fermat Prime Search (now boinc)
  • Wieferich and Wall-Sun-Sun Search (now boinc)

Primegrid

  • 321 Prime Search Sieve
  • AP26
  • Cullen/Woodall Sieve
  • Generalized Fermat Prime Search n=15
  • GCW Sieve
  • Sierpinski (ESP/PSP/SoB) Sieve
  • Sophie Germain Prime Search
  • TPS Sieve
  • Proth Prime Search Mega
  • Proth Prime Search Sieve
  • Primegen
  • TPS
  • Wieferich and Wall-Sun-Sun
Primegrid
Start 2005
End
Status
Admin Rytis Slatkevičius
Institution -
Country Lithuania
Area Mathematics
Apps
Win Woodall Prime Search (LLR) 9.03 (mt)

Cullen Prime Search (LLR) 9.03 (mt)
321 Prime Search (LLR) 9.03 (mt)
Prime Sierpinski Problem (LLR) 9.03 (mt)
PPS LLR 9.03 (mt)
PPSE LLR 9.03 (mt)
Seventeen or Bust 9.03 (mt)
The Riesel Problem (LLR) 9.03 (mt)
Genefer 16 4.02 (cpuGFN16)
Genefer 17 4.05 (cpuGFN17MEGA)
Genefer 18 4.02 (cpuGFN18)
Genefer 19 4.02 (cpuGFN19)
Genefer 20 4.02 (cpuGFN20)
Genefer 21 4.02 (cpuGFN21)
Sierpinski/Riesel Base 5 Problem (PRST) 9.51 (mt)
Extended Sierpinski Problem (LLR) 9.03 (mt)
Generalized Cullen/Woodall (PRST) 9.51 (mt)
Primorial (PRST) 1.00 (mt)
Sierpinski/Riesel Base 5 Sieve 1.03

Linux Woodall Prime Search (LLR) 9.01 (mt)

Cullen Prime Search (LLR) 9.01 (mt)
321 Prime Search (LLR) 9.01 (mt)
Prime Sierpinski Problem (LLR) 9.01 (mt)
PPS LLR 9.01 (mt)
PPSE LLR 9.01 (mt)
Seventeen or Bust 9.01 (mt)
The Riesel Problem (LLR) 9.01 (mt)
Genefer 16 4.02 (cpuGFN16)
Genefer 17 4.05 (cpuGFN17MEGA)
Genefer 18 4.02 (cpuGFN18)
Genefer 19 4.02 (cpuGFN19)
Genefer 20 4.02 (cpuGFN20)
Genefer 21 4.02 (cpuGFN21)
Extended Sierpinski Problem (LLR) 9.01 (mt)

Mac 64bit only
64bit Woodall Prime Search (LLR) 9.03 (mt) [win/linux/mac]

Cullen Prime Search (LLR) 9.03 (mt) [win/linux/mac]
321 Prime Search (LLR) 9.03 (mt) [win/linux/mac]
Prime Sierpinski Problem (LLR) 9.03 (mt) [win/linux/mac]
PPS LLR 9.03 (mt) [win/linux/mac]
PPSE LLR 9.03 (mt) [win/linux/mac]
AP27 Search 2.12/2.09 (cpu_AP27mt) [win/linux/mac]
Seventeen or Bust 9.03 (mt) [win/linux/mac]
The Riesel Problem (LLR) 9.03 (mt) [win/linux/mac]
Genefer 16 4.02 (cpuGFN16) [win/linux/mac]
Genefer 17 4.05 (cpuGFN17MEGA) [win/linux/mac]
Genefer 18 4.02 (cpuGFN18) [win/linux/mac]
Genefer 19 4.02 (cpuGFN19) [win/linux/mac]
Genefer 20 4.02 (cpuGFN20) [win/linux/mac]
Genefer 21 4.02 (cpuGFN21) [win/linux/mac]
Sierpinski/Riesel Base 5 Problem (PRST) 9.51 (mt) [win/linux/mac]
Extended Sierpinski Problem (LLR) 9.03 (mt) [win/linux/mac]
Generalized Cullen/Woodall (PRST) 9.51 (mt) [win/linux/mac]
Primorial (PRST) 1.00 (mt) [win/linux/mac]
Sierpinski/Riesel Base 5 Sieve 1.03 [win/linux/mac]

PS3
ATI AP27 Search 2.11/2.09 (opencl_ati_AP27) [win/linux/mac]

Genefer 16 4.04/4.02 (openclatiGFN16) [win/linux/mac]
Genefer 17 4.06/4.03 (openclatiGFN17MEGA) [win/linux/mac]
Genefer 18 4.04/4.02 (openclatiGFN18) [win/linux/mac]
Genefer 19 4.04/4.02 (openclatiGFN19) [win/linux/mac]
Genefer 20 4.04/4.02 (openclatiGFN20) [win/linux/mac]
Genefer 21 4.04/4.02 (openclatiGFN21) [win/linux/mac]
Genefer 22 4.04/4.02 (openclatiGFN22) [win/linux/mac]
Genefer WR 4.04/4.02 (openclatiGFNEXTREME) [win/linux/mac]

CUDA AP27 Search 2.11/2.09 (OCL_cuda_AP2) [win/linux/mac]

Genefer 16 4.04/4.02 (OCLcudaGFN16) [win/linux/mac]
Genefer 17 4.04/4.02 (OCLcudaGFN17MEGA) [win/linux/mac]
Genefer 18 4.04/4.02 (OCLcudaGFN18) [win/linux/mac]
Genefer 19 4.04/4.02 (OCLcudaGFN19) [win/linux/mac]
Genefer 20 4.04/4.02 (OCLcudaGFN20) [win/linux/mac]
Genefer 21 4.04/4.02 (OCLcudaGFN21) [win/linux/mac]
Genefer 22 4.04/4.02 (OCLcudaGFN22) [win/linux/mac]
Genefer WR 4.04/4.02 (OCLcudaGFNEXTREME) [win/linux/mac]

Intel AP27 Search 2.11 (OCL_cuda_AP2) [win/linux]

Genefer 16 4.04 (opencl_intel_gpu_GFN16) [win/linux]
Genefer 17 4.06 (opencl_intel_gpu_GFN17MEGA) [win/linux]
Genefer 18 4.04 (opencl_intel_gpu_GFN18) [win/linux]
Genefer 19 4.04 (opencl_intel_gpu_GFN19) [win/linux]
Genefer 20 4.04 (opencl_intel_gpu_GFN20) [win/linux]
Genefer 21 4.04 (opencl_intel_gpu_GFN21) [win/linux]
Genefer 22 4.04 (opencl_intel_gpu_GFN22) [win/linux]
Genefer WR 4.04 (opencl_intel_gpu_GFNEXTREME) [win/linux]

Android
RPi
NCI
System-Specs
VRAM min. 200MB SP DP
RAM
Runtime
HDD
Traffic dl/ul kb / kb
Deadline 12 days (Cullen)

12 days (Woodall)
12 days (321 LLR)
12 days (PSP llr)
7 days (PPS Sieve)
7 days (AP27 Search)
4 days (Sophie Germain LLR)
20 days (SOB)
5 days (Riesel LLR)
15 days (SR5)
6 days (ESP)

Checkpoints