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

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theAy
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Joined: 17 Nov 08
Posts: 13
ID: 31812
Credit: 8,221,664
RAC: 16,789
321 LLR Silver: Earned 100,000 credits (173,944)Cullen LLR Silver: Earned 100,000 credits (221,078)ESP LLR Silver: Earned 100,000 credits (206,957)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (217,358)PPS LLR Gold: Earned 500,000 credits (531,012)PSP LLR Silver: Earned 100,000 credits (175,046)SoB LLR Silver: Earned 100,000 credits (275,347)SR5 LLR Silver: Earned 100,000 credits (333,877)SGS LLR Silver: Earned 100,000 credits (291,544)TRP LLR Silver: Earned 100,000 credits (191,373)Woodall LLR Silver: Earned 100,000 credits (153,969)321 Sieve Gold: Earned 500,000 credits (500,106)Generalized Cullen/Woodall Sieve 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 Silver: Earned 100,000 credits (278,967)GFN Gold: Earned 500,000 credits (500,629)PSA Amethyst: Earned 1,000,000 credits (1,048,979)
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.

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Profile Michael GoetzProject donor
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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 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,063,182)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (4,334,365)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Ruby: Earned 2,000,000 credits (2,774,147)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,158,496)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,222)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (20,110,788)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 Turquoise: Earned 5,000,000 credits (7,090,096)GFN Emerald: Earned 50,000,000 credits (64,594,991)PSA Jade: Earned 10,000,000 credits (10,723,812)
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.
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Message boards : Generalized Cullen/Woodall prime search : GCW bases

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