PrimeGrid
Please visit donation page to help the project cover running costs for this month

Toggle Menu

Join PrimeGrid

  1. Read our rules and policies.
  2. Download, install and run the BOINC software used by PrimeGrid.
  3. When prompted, enter the URL:
    http://www.primegrid.com/
  4. Select which subprojects to run via the PrimeGrid Preferences.

Returning Participants

Community

Leader Boards

Results

Other

drummers-lowrise

Advanced search

Message boards : Generalized Cullen/Woodall prime search : GCW bases

Subscribe Sort
Author Message
theAy
Send message
Joined: 17 Nov 08
Posts: 15
ID: 31812
Credit: 14,296,657
RAC: 0
321 LLR Silver: Earned 100,000 credits (226,030)Cullen LLR Silver: Earned 100,000 credits (437,784)ESP LLR Silver: Earned 100,000 credits (431,668)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (235,226)PPS LLR Amethyst: Earned 1,000,000 credits (1,778,978)PSP LLR Silver: Earned 100,000 credits (301,932)SoB LLR Gold: Earned 500,000 credits (511,522)SR5 LLR Gold: Earned 500,000 credits (503,310)SGS LLR Gold: Earned 500,000 credits (573,054)TRP LLR Silver: Earned 100,000 credits (324,388)Woodall LLR Silver: Earned 100,000 credits (348,050)321 Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,007,530)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,011)PPS Sieve Ruby: Earned 2,000,000 credits (2,009,116)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,610)TRP Sieve (suspended) Silver: Earned 100,000 credits (100,078)AP 26/27 Gold: Earned 500,000 credits (501,332)GFN Amethyst: Earned 1,000,000 credits (1,119,173)WW (retired) Amethyst: Earned 1,000,000 credits (1,216,000)PSA Amethyst: Earned 1,000,000 credits (1,659,201)
Message 105863 - Posted: 10 Mar 2017 | 7:45:00 UTC

Hi,

since the GCW Sieve is running on a set of bases b = 13, 25, 29, 41, 47, ... it is clear that the GCW LLR will also start on these bases.

My question is: what is the reason for using exactly this set of bases? Is it just random because one has to start somewhere, or is there a mathematical reason, e.g. is it expected to find more primes on those bases than on other ones?

Is it also planned to go to other bases b on a long term?

Best regards,
A.

ID: 105863 | Report as offensive
Profile Michael GoetzProject donor
Volunteer moderator
Project administrator
Avatar
Send message
Joined: 21 Jan 10
Posts: 14037
ID: 53948
Credit: 477,979,901
RAC: 339,285
The "Shut up already!" badge: This loud mouth has mansplained on the forums over 10 thousand times! Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 2 primes in the 2021 Tour de PrimesFound 2 primes in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de PrimesFound 1 prime in the 2022 Tour de Primes Mountain StageFound 1 prime in the 2023 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (6,949,793)Cullen LLR Turquoise: Earned 5,000,000 credits (5,513,946)ESP LLR Turquoise: Earned 5,000,000 credits (7,150,009)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,094,541)PPS LLR Sapphire: Earned 20,000,000 credits (24,049,916)PSP LLR Jade: Earned 10,000,000 credits (11,203,327)SoB LLR Sapphire: Earned 20,000,000 credits (36,601,737)SR5 LLR Sapphire: Earned 20,000,000 credits (22,821,256)SGS LLR Turquoise: Earned 5,000,000 credits (6,410,657)TRP LLR Turquoise: Earned 5,000,000 credits (6,308,522)Woodall LLR Turquoise: Earned 5,000,000 credits (6,390,624)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,061,196)Cullen/Woodall Sieve Emerald: Earned 50,000,000 credits (51,764,198)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (22,888,492)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Sapphire: Earned 20,000,000 credits (24,232,416)GFN Double Bronze: Earned 100,000,000 credits (120,616,519)WW (retired) Emerald: Earned 50,000,000 credits (88,580,000)PSA Jade: Earned 10,000,000 credits (13,196,884)
Message 105873 - Posted: 10 Mar 2017 | 12:46:04 UTC - in response to Message 105863.

Hi,

since the GCW Sieve is running on a set of bases b = 13, 25, 29, 41, 47, ... it is clear that the GCW LLR will also start on these bases.

My question is: what is the reason for using exactly this set of bases? Is it just random because one has to start somewhere, or is there a mathematical reason, e.g. is it expected to find more primes on those bases than on other ones?

Is it also planned to go to other bases b on a long term?

Best regards,
A.


It's just the opposite, actually. This isn't the beginning of the search for GCW primes; it's (hopefully) the conclusion. Primes have already been found for all the other bases below some arbitrary point. These are the bases that remain prime-free.

It's conceivable that when we find primes for ALL these bases we might continue with even larger bases, but that's not something we'll be discussing for a while.
____________
My lucky number is 75898524288+1

ID: 105873 | Report as offensive

Message boards : Generalized Cullen/Woodall prime search : GCW bases

[Return to PrimeGrid main page]
DNS Powered by DNSEXIT.COM
Copyright © 2005 - 2023 Rytis Slatkevičius (contact) and PrimeGrid community. Server load 3.07, 2.82, 2.67
Generated 24 Sep 2023 | 21:15:56 UTC