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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: 1
ID: 31812
Credit: 2,836,731
RAC: 7,070
321 LLR Silver: Earned 100,000 credits (101,911)Cullen LLR Silver: Earned 100,000 credits (114,797)ESP LLR Silver: Earned 100,000 credits (102,133)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (102,721)PPS LLR Silver: Earned 100,000 credits (154,421)PSP LLR Silver: Earned 100,000 credits (127,720)SoB LLR Bronze: Earned 10,000 credits (77,093)SR5 LLR Bronze: Earned 10,000 credits (24,349)SGS LLR Silver: Earned 100,000 credits (152,525)TRP LLR Silver: Earned 100,000 credits (102,856)Woodall LLR Silver: Earned 100,000 credits (109,543)Generalized Cullen/Woodall Sieve Silver: Earned 100,000 credits (223,378)PPS Sieve Amethyst: Earned 1,000,000 credits (1,179,850)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,610)TRP Sieve (suspended) Silver: Earned 100,000 credits (100,078)GFN Silver: Earned 100,000 credits (150,223)
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.

Michael GoetzProject donor
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Joined: 21 Jan 10
Posts: 9165
ID: 53948
Credit: 99,712,165
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321 LLR Amethyst: Earned 1,000,000 credits (1,006,834)Cullen LLR Amethyst: Earned 1,000,000 credits (1,157,331)ESP LLR Amethyst: Earned 1,000,000 credits (1,179,211)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,048,769)PPS LLR Amethyst: Earned 1,000,000 credits (1,241,722)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Ruby: Earned 2,000,000 credits (2,003,279)SR5 LLR Turquoise: Earned 5,000,000 credits (5,605,559)SGS LLR Amethyst: Earned 1,000,000 credits (1,458,701)TRP LLR Amethyst: Earned 1,000,000 credits (1,009,313)Woodall LLR Amethyst: Earned 1,000,000 credits (1,145,077)321 Sieve (suspended) Silver: Earned 100,000 credits (200,576)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,085,723)PPS Sieve Jade: Earned 10,000,000 credits (18,162,350)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 (5,877,196)GFN Sapphire: Earned 20,000,000 credits (37,214,567)PSA Turquoise: Earned 5,000,000 credits (9,426,791)
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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