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*'''Generalized Fermat Prime Search''': searching for Generalized Fermat primes
*'''Generalized Fermat Prime Search''': searching for Generalized Fermat primes
*'''AP27 Search''': Search for Primes with [https://en.wikipedia.org/wiki/Arithmetic_progression arithmetic progression]
*'''AP27 Search''': Search for Primes with [https://en.wikipedia.org/wiki/Arithmetic_progression arithmetic progression]
*'''Wieferich and Wall-Sun-Sun''':Search for Wieferich and Wall-Sun-Sun primes


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'''Future Projects (planned):'''
'''Future Projects (planned):'''
* +1 Prime Search
* Factorial Prime Search (from PRPNet)
* Hyper Cullen/Woodall
* Primorial Prime Search (from PRPNet)
* Octoproth Search


'''Finished Projects:'''<br>
'''Finished Projects:'''<br>
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* Dual Sierpinski Problem (double check)
* Dual Sierpinski Problem (double check)
* Extended Sierpinski Project (now boinc)
* Extended Sierpinski Project (now boinc)
* PPSE und PPSElow
* PPSE (now boinc) and PPSElow
* Proth Mega Prime Search (now boinc)
* Proth Mega Prime Search (now boinc)
* Sierpinski/Riesel Base 5 Project (now boinc)
* Sierpinski/Riesel Base 5 Project (now boinc)
Zeile 74: Zeile 72:
* Primegen
* Primegen
* TPS
* TPS
* Wieferich and Wall-Sun-Sun


|Start=2005
|Start=2005

Version vom 22. Januar 2023, 22:46 Uhr

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 Chris Caldwell's The 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
  • Seventeen or Bust: helping to solve the Sierpinski Problem
  • Sierpinski/Riesel Base 5 Project: helping to solve the Sierpinski/Riesel Problem with base 5
  • Sophie Germain Prime Search: searching for primes p and 2p+1
  • 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 6.482.811 Range Statistics
Cullen prime search 7.478.328 Range Statistics
Extended Sierpinski Project 8.157.457 8k left
Generalized Cullen/Woodall Prime Search 6.432.819 9k left
Prime Sierpinski Problem 9.586.063 7k left
Proth Prime Search 1.483.124
Proth Prime Search Extended 585.518 keine Top5000 Primes
Seventeen or Bust 12.619.993 5k left
Sierpinski Riesel Base 5 LLR 3.365.254 30k/54k left
Sierpinski Riesel Base 5 Sieve
The Riesel Problem 4.549.608 42k left
Woodall prime search 7.215.169 Range Statistics
Generalized Fermat Prime Search (n=16) 561.923 Range Statistics keine Top5000 Primes
Generalized Fermat Prime Search (n=17) 1.094.164 Range Statistics
Generalized Fermat Prime Search (n=18) 1 984 243 Range Statistics
Generalized Fermat Prime Search (n=19) 3.628.715 Range Statistics
Generalized Fermat Prime Search (n=20) 6.823.620 Range Statistics
Generalized Fermat Prime Search (n=21) 12.881.959 Range Statistics
Generalized Fermat Prime Search (n=22) 23.233.170 Range Statistics
Generalized Fermat Prime Search WR (Do You Feel Lucky?) 25.430.758 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

  • Factorial Sieving
  • Generalized Fermat Number Prime Sieving
  • Primorial Sieving

PRPNet

PRPnet-Projekt
Server:Port
Laufzeit/
Runtime
Deadline Status
Factorial Prime Search (FPS)
prpnet.primegrid.com:12002
Migrated to BOINC
Primorial Prime Search (PRS)
prpnet.primegrid.com:12008
Migrated to BOINC
Riesel Prime Base 2 Search
noprimeleftbehind.net:2000
24h 18th Drive / Server von NPLB
Riesel Prime Base 2 Search
noprimeleftbehind.net:9000
24h 17th Drive / Server von NPLB
Riesel Prime Base 2 Search
noprimeleftbehind.net:1468
24h 19th Drive / Server von NPLB
Riesel Prime Base 2 Megaprime Search
noprimeleftbehind.net:1400
24h High-n Drive / Server von NPLB
CRUS misc work
noprimeleftbehind.net:1300
Offline Server von CRUS-Projekt
k<300 for n>2M
noprimeleftbehind.net:4000
24h Server für RPS
Twin Prime Search (n=333444)
tps.dnshome.de:7100
24h Server von TPS-Projekt
Twin Prime Search (n=1.7M)
noprimeleftbehind.net:12000
24h Server von TPS-Projekt
Twin Prime Search (n=3.322M)
noprimeleftbehind.net:13000
24h Server von TPS-Projekt
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)
  • Primorial Prime Search (from PRPNet)

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
  • Cullen/Woodall Sieve
  • GCW Sieve
  • AP26
  • Sierpinski (ESP/PSP/SoB) Sieve
  • TPS Sieve
  • Primegen
  • TPS
  • Wieferich and Wall-Sun-Sun
Primegrid
Start 2005
End
Status
Admin Rytis Slatkevičius
Institution -
Country Lithuania
Area Mathematics
Apps
Win Sophie Germain Prime Search (LLR) 8.04 (mt)

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)
Proth Prime Search (Sieve) 1.42 (cpuPPSsieve)
PPS LLR 9.01 (mt)
PPSE LLR 9.01 (mt)
PPS-Mega LLR 9.01 (mt)
Seventeen or Bust 9.01 (mt)
The Riesel Problem (LLR) 9.01 (mt)
Sierpinski/Riesel Base 5 Problem (LLR) 9.01 (mt)
Extended Sierpinski Problem (LLR) 9.01 (mt)
Generalized Cullen/Woodall (LLR) 9.01 (mt)
Genefer 16 3.22 (cpuGFN16)
Genefer 17 3.22 (cpuGFN17MEGA)
Genefer 18 3.22 (cpuGFN18)
Genefer 19 3.22 (cpuGFN19)
Genefer 20 3.22 (cpuGFN20)
Genefer 21 3.22 (cpuGFN21)

Linux Sophie Germain Prime Search (LLR) 8.04 (mt)

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)
Proth Prime Search (Sieve) 1.42 (cpuPPSsieve)
PPS LLR 9.01 (mt)
PPSE LLR 9.01 (mt)
PPS-Mega LLR 9.01 (mt)
Seventeen or Bust 9.01 (mt)
The Riesel Problem (LLR) 9.01 (mt)
Sierpinski/Riesel Base 5 Problem (LLR) 9.01 (mt)
Extended Sierpinski Problem (LLR) 9.01 (mt)
Generalized Cullen/Woodall (LLR) 9.01 (mt)
Genefer 16 3.22 (cpuGFN16)
Genefer 17 3.22 (cpuGFN17MEGA)
Genefer 18 3.22 (cpuGFN18)
Genefer 19 3.22 (cpuGFN19)
Genefer 20 3.22 (cpuGFN20)
Genefer 21 3.22 (cpuGFN21)

Mac 64bit only
64bit Sophie Germain Prime Search (LLR) 8.04 (mt) [win/linux/mac]

Woodall Prime Search (LLR) 9.01 (mt) [win/linux/mac]
Cullen Prime Search (LLR) 9.01 (mt) [win/linux/mac]
321 Prime Search (LLR) 9.01 (mt) [win/linux/mac]
Prime Sierpinski Problem (LLR) 9.01 (mt) [win/linux/mac]
Proth Prime Search (Sieve) 1.42 (cpuPPSsieve) [win/linux/mac]
PPS LLR 9.01 (mt) [win/linux/mac]
PPSE LLR 9.01 (mt) [win/linux/mac]
PPS-Mega LLR 9.01 (mt) [win/linux/mac]
AP27 Search 2.09 (cpu_AP27mt) [win/linux/mac]
Seventeen or Bust 9.01 (mt) [win/linux/mac]
The Riesel Problem (LLR) 9.01 (mt) [win/linux/mac]
Sierpinski/Riesel Base 5 Problem (LLR) 9.02 (mt) [win/linux/mac]
Extended Sierpinski Problem (LLR) 9.01 (mt) [win/linux/mac]
Generalized Cullen/Woodall (LLR) 9.02 (mt) [win/linux/mac]
Wieferich and Wall-Sun-Sun 1.05 (cpu_WW_mt) [win/linux/mac]
Genefer 16 3.22 (cpuGFN16) [win/linux/mac]
Genefer 17 3.22 (cpuGFN17MEGA) [win/linux/mac]
Genefer 18 3.22 (cpuGFN18) [win/linux/mac]
Genefer 19 3.22 (cpuGFN19) [win/linux/mac]
Genefer 20 3.22 (cpuGFN20) [win/linux/mac]
Genefer 21 3.22 (cpuGFN21) [win/linux/mac]

PS3
ATI Proth Prime Search (Sieve) 1.42 (openclatiPPSsieve) [win/linux/mac]

AP27 Search 2.09 (opencl_ati_AP27) [win/linux/mac]
Genefer 15 3.21 (openclatiGFN15) [win/linux/mac]
Genefer 16 3.21 (openclatiGFN16) [win/linux/mac]
Genefer 17 3.21 (openclatiGFN17MEGA) [win/linux/mac]
Genefer 18 3.21 (openclatiGFN18) [win/linux/mac]
Genefer 19 3.21 (openclatiGFN19) [win/linux/mac]
Genefer 20 3.21 (openclatiGFN20) [win/linux/mac]
Genefer 21 3.21 (openclatiGFN21) [win/linux/mac]
Genefer 22 3.21 (openclatiGFN22) [win/linux/mac]
Genefer WR 3.21 (openclatiGFNEXTREME) [win/linux/mac]
Wieferich and Wall-Sun-Sun 1.05 (opencl_ati_WW) [win/linux/mac]

CUDA Proth Prime Search (Sieve) 1.42 (cudaPPSsieve) [win/linux/mac]

AP27 Search 2.09 (OCL_cuda_AP27) [win/linux/mac]
Genefer 15 3.21 (OCLcudaGFN15) [win/linux/mac]
Genefer 16 3.21 (OCLcudaGFN16) [win/linux/mac]
Genefer 17 3.21 (OCLcudaGFN17MEGA) [win/linux/mac]
Genefer 18 3.21 (OCLcudaGFN18) [win/linux/mac]
Genefer 19 3.21 (OCLcudaGFN19) [win/linux/mac]
Genefer 20 3.21 (OCLcudaGFN20) [win/linux/mac]
Genefer 21 3.21 (OCLcudaGFN21) [win/linux/mac]
Genefer 22 3.21 (OCLcudaGFN22) [win/linux/mac]
Genefer WR 3.21 (OCLcudaGFNEXTREME) [win/linux/mac]
Wieferich and Wall-Sun-Sun 1.05 (opencl_nvidia_WW) [win/linux/mac]

Intel
Android
RPi
NCI
System-Specs
VRAM min. 200MB SP DP
RAM 36,5MB (PSP Sieve)

27MB (321)
30MB (PSP)
76MB (SOB)
138MB (TRP Sieve)
28MB (TRP)
22MB (SR5)
53MB (Cullen)
8MB (ESP

Runtime
HDD
Traffic dl/ul kb / kb
Deadline 12 days (Cullen)

12 days (Woodall)
12 days (321 LLR)
7 days (PSP Sieve)
12 days (PSP llr)
7 days (PPS Sieve)
7 days (AP26 Search)
4 days (Sophie Germain LLR)
7 days (321 Sieve)
20 days (SOB)
7 days (Riesel Sieve)
5 days (Riesel LLR)
15 days (SR5)
6 days (ESP)

Checkpoints