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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: 2
ID: 31812
Credit: 4,153,751
RAC: 4,878
321 LLR Silver: Earned 100,000 credits (173,944)Cullen LLR Silver: Earned 100,000 credits (129,771)ESP LLR Silver: Earned 100,000 credits (131,443)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (170,685)PPS LLR Silver: Earned 100,000 credits (183,183)PSP LLR Silver: Earned 100,000 credits (127,720)SoB LLR Silver: Earned 100,000 credits (145,168)SR5 LLR Silver: Earned 100,000 credits (157,612)SGS LLR Silver: Earned 100,000 credits (182,899)TRP LLR Silver: Earned 100,000 credits (152,788)Woodall LLR Silver: Earned 100,000 credits (139,143)Generalized Cullen/Woodall Sieve Gold: Earned 500,000 credits (508,469)PPS Sieve Amethyst: Earned 1,000,000 credits (1,638,306)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 (199,408)
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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Project scientist
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Joined: 21 Jan 10
Posts: 9641
ID: 53948
Credit: 107,071,908
RAC: 94,235
321 LLR Amethyst: Earned 1,000,000 credits (1,169,719)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 (1,330,821)PPS LLR Amethyst: Earned 1,000,000 credits (1,254,873)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Ruby: Earned 2,000,000 credits (2,153,211)SR5 LLR Turquoise: Earned 5,000,000 credits (6,048,315)SGS LLR Amethyst: Earned 1,000,000 credits (1,680,461)TRP LLR Amethyst: Earned 1,000,000 credits (1,183,026)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 (18,175,834)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 (5,881,239)GFN Sapphire: Earned 20,000,000 credits (42,508,532)PSA Jade: Earned 10,000,000 credits (10,028,791)
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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