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Message boards : Sophie Germain Prime Search : SGS primes and the Top 5000 List

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JohnProject donor
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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 40712 - Posted: 24 Sep 2011 | 15:28:24 UTC

The day is quickly approaching when SGS single primes will no longer make it into the Top 5000 List. We are about 4 weeks away from the 5000th prime being larger than 200700 digits which is the size of SGS primes.

We are ~62% through the search space with no success. We are on the unlucky side now to not have found a twin or a Sophie Germain. Even with single primes falling off the Top 5000 list, we'll continue to search for at least one of these significant primes. A find for either will be a World Record. :)
____________

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Discovered 5 mega primesEliminated 3 conjecture "k"sFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2018 Tour de Primes Mountain Stage2019 Tour de Primes largest primeFound 4 primes in the 2019 Tour de PrimesFound 1 mega prime in the 2019 Tour de PrimesFound 1 prime in the 2019 Tour de Primes Mountain Stage321 LLR Emerald: Earned 50,000,000 credits (53,735,067)Cullen LLR Emerald: Earned 50,000,000 credits (50,296,190)ESP LLR Emerald: Earned 50,000,000 credits (50,853,190)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (50,309,119)PPS LLR Double Bronze: Earned 100,000,000 credits (100,184,938)PSP LLR Sapphire: Earned 20,000,000 credits (33,726,968)SoB LLR Emerald: Earned 50,000,000 credits (67,865,553)SR5 LLR Emerald: Earned 50,000,000 credits (50,320,316)SGS LLR Sapphire: Earned 20,000,000 credits (26,720,423)TPS LLR (retired) Bronze: Earned 10,000 credits (43,033)TRP LLR Emerald: Earned 50,000,000 credits (57,441,313)Woodall LLR Emerald: Earned 50,000,000 credits (50,956,094)321 Sieve Emerald: Earned 50,000,000 credits (50,611,470)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,142,109)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (50,504,945)PPS Sieve Double Gold: Earned 500,000,000 credits (504,377,255)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,288,222)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,149,354)AP 26/27 Double Silver: Earned 200,000,000 credits (214,118,887)GFN Double Gold: Earned 500,000,000 credits (631,959,957)PSA Double Gold: Earned 500,000,000 credits (531,254,992)
Message 41847 - Posted: 17 Oct 2011 | 6:30:30 UTC

Good estimation - those of 2^666666-1 are entering 4950 right now...getting tight.
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Usucapio LibertatisProject donor
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Discovered 1 mega prime2012 Tour de Primes highest prime scoreFound 2 primes in the 2018 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (14,116,665)Cullen LLR Ruby: Earned 2,000,000 credits (2,622,415)ESP LLR Ruby: Earned 2,000,000 credits (3,461,313)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,521,709)PPS LLR Jade: Earned 10,000,000 credits (10,419,603)PSP LLR Ruby: Earned 2,000,000 credits (2,387,311)SoB LLR Ruby: Earned 2,000,000 credits (3,923,258)SR5 LLR Ruby: Earned 2,000,000 credits (2,285,621)SGS LLR Ruby: Earned 2,000,000 credits (2,349,916)TRP LLR Ruby: Earned 2,000,000 credits (2,527,307)Woodall LLR Amethyst: Earned 1,000,000 credits (1,295,630)321 Sieve Amethyst: Earned 1,000,000 credits (1,664,568)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,449,019)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,388,253)PPS Sieve Double Silver: Earned 200,000,000 credits (337,847,415)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,072,601)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,441,257)AP 26/27 Sapphire: Earned 20,000,000 credits (21,225,750)GFN Sapphire: Earned 20,000,000 credits (44,249,129)PSA Emerald: Earned 50,000,000 credits (79,952,619)
Message 41852 - Posted: 17 Oct 2011 | 11:09:43 UTC

My main page is showing a hit on SGS. It would be my first prime (not counting PRPNet). No info is available, though:

http://www.primegrid.com/primes/?section=primelist&userid=59072

How long will it take to be reported?
____________
676754^262144+1 is prime

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Discovered 5 mega primesEliminated 3 conjecture "k"sFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2018 Tour de Primes Mountain Stage2019 Tour de Primes largest primeFound 4 primes in the 2019 Tour de PrimesFound 1 mega prime in the 2019 Tour de PrimesFound 1 prime in the 2019 Tour de Primes Mountain Stage321 LLR Emerald: Earned 50,000,000 credits (53,735,067)Cullen LLR Emerald: Earned 50,000,000 credits (50,296,190)ESP LLR Emerald: Earned 50,000,000 credits (50,853,190)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (50,309,119)PPS LLR Double Bronze: Earned 100,000,000 credits (100,184,938)PSP LLR Sapphire: Earned 20,000,000 credits (33,726,968)SoB LLR Emerald: Earned 50,000,000 credits (67,865,553)SR5 LLR Emerald: Earned 50,000,000 credits (50,320,316)SGS LLR Sapphire: Earned 20,000,000 credits (26,720,423)TPS LLR (retired) Bronze: Earned 10,000 credits (43,033)TRP LLR Emerald: Earned 50,000,000 credits (57,441,313)Woodall LLR Emerald: Earned 50,000,000 credits (50,956,094)321 Sieve Emerald: Earned 50,000,000 credits (50,611,470)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,142,109)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (50,504,945)PPS Sieve Double Gold: Earned 500,000,000 credits (504,377,255)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,288,222)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,149,354)AP 26/27 Double Silver: Earned 200,000,000 credits (214,118,887)GFN Double Gold: Earned 500,000,000 credits (631,959,957)PSA Double Gold: Earned 500,000,000 credits (531,254,992)
Message 41863 - Posted: 17 Oct 2011 | 19:33:39 UTC
Last modified: 17 Oct 2011 | 19:33:59 UTC

It took no so long, already there: 6515132744445*2^666668-1 - congrats on prime.
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Badge score: 1*1 + 5*1 + 7*1 + 8*8 + 9*7 + 11*1 + 12*3 = 187

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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 43055 - Posted: 10 Nov 2011 | 16:01:49 UTC - in response to Message 40712.

The day is quickly approaching when SGS single primes will no longer make it into the Top 5000 List. We are about 4 weeks away from the 5000th prime being larger than 200700 digits which is the size of SGS primes.

Although 2 weeks longer than the original estimate, the end is soon approaching. Trailing edge primes are failing to make the Top 5000 while leading edge primes are entering ~4985. Primes are being submitted as they are validated, even before SG/twin testing is completed. Don't worry, it's easy to retro an SG/twin prime should one present itself.
____________

Konstantin Manz
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321 LLR Silver: Earned 100,000 credits (115,153)Cullen LLR Bronze: Earned 10,000 credits (10,974)ESP LLR Bronze: Earned 10,000 credits (11,571)PPS LLR Ruby: Earned 2,000,000 credits (2,074,773)PSP LLR Silver: Earned 100,000 credits (104,595)SoB LLR Silver: Earned 100,000 credits (126,157)SR5 LLR Silver: Earned 100,000 credits (149,712)SGS LLR Silver: Earned 100,000 credits (277,818)TRP LLR Gold: Earned 500,000 credits (508,734)Woodall LLR Bronze: Earned 10,000 credits (17,219)PPS Sieve Ruby: Earned 2,000,000 credits (2,119,298)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,227)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,181)GFN Bronze: Earned 10,000 credits (31,562)PSA Jade: Earned 10,000,000 credits (10,617,327)
Message 49724 - Posted: 16 Feb 2012 | 13:37:22 UTC
Last modified: 16 Feb 2012 | 13:37:48 UTC

I read somewhere in the forum (can't remember where) that as soon as a certain range of k was completed or a SG prime was found, we would begin sieving and afterwards searching a higher range of n (so that they'd be large enough to make the top 5000 list again).
I was just wondering what the progress of that was...

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Eliminated 2 conjecture "k"s321 LLR Ruby: Earned 2,000,000 credits (2,730,928)Cullen LLR Amethyst: Earned 1,000,000 credits (1,781,038)ESP LLR Amethyst: Earned 1,000,000 credits (1,721,929)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,311,845)PPS LLR Jade: Earned 10,000,000 credits (15,168,476)PSP LLR Ruby: Earned 2,000,000 credits (3,588,896)SoB LLR Ruby: Earned 2,000,000 credits (3,276,575)SR5 LLR Jade: Earned 10,000,000 credits (12,022,512)SGS LLR Ruby: Earned 2,000,000 credits (4,510,754)TRP LLR Ruby: Earned 2,000,000 credits (3,264,437)Woodall LLR Amethyst: Earned 1,000,000 credits (1,366,660)321 Sieve Gold: Earned 500,000 credits (794,564)Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (27,076,246)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (3,607,166)PPS Sieve Double Silver: Earned 200,000,000 credits (229,227,858)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,054,368)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,010,272)AP 26/27 Emerald: Earned 50,000,000 credits (53,383,772)GFN Double Bronze: Earned 100,000,000 credits (107,282,794)PSA Jade: Earned 10,000,000 credits (19,187,821)
Message 49740 - Posted: 16 Feb 2012 | 18:22:27 UTC

It was "only" found a twin, not a Sophie. Search for Sophie is ongoing at the same ranges like before.

Regards Odi
____________

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321 LLR Silver: Earned 100,000 credits (115,153)Cullen LLR Bronze: Earned 10,000 credits (10,974)ESP LLR Bronze: Earned 10,000 credits (11,571)PPS LLR Ruby: Earned 2,000,000 credits (2,074,773)PSP LLR Silver: Earned 100,000 credits (104,595)SoB LLR Silver: Earned 100,000 credits (126,157)SR5 LLR Silver: Earned 100,000 credits (149,712)SGS LLR Silver: Earned 100,000 credits (277,818)TRP LLR Gold: Earned 500,000 credits (508,734)Woodall LLR Bronze: Earned 10,000 credits (17,219)PPS Sieve Ruby: Earned 2,000,000 credits (2,119,298)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,227)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,181)GFN Bronze: Earned 10,000 credits (31,562)PSA Jade: Earned 10,000,000 credits (10,617,327)
Message 49741 - Posted: 16 Feb 2012 | 18:36:14 UTC - in response to Message 49740.

...that didn't really answer my question.
I was asking about the future of the SGS search, if and when we switch to another range...

Christopher Siegert
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321 LLR Amethyst: Earned 1,000,000 credits (1,041,657)Cullen LLR Amethyst: Earned 1,000,000 credits (1,366,558)PPS LLR Sapphire: Earned 20,000,000 credits (22,177,547)PSP LLR Amethyst: Earned 1,000,000 credits (1,521,444)SoB LLR Amethyst: Earned 1,000,000 credits (1,751,070)SR5 LLR Amethyst: Earned 1,000,000 credits (1,100,031)SGS LLR Amethyst: Earned 1,000,000 credits (1,014,953)TRP LLR Ruby: Earned 2,000,000 credits (3,647,371)Woodall LLR Amethyst: Earned 1,000,000 credits (1,479,507)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (41,181)PPS Sieve Sapphire: Earned 20,000,000 credits (29,702,366)TRP Sieve (suspended) Silver: Earned 100,000 credits (206,682)GFN Jade: Earned 10,000,000 credits (11,960,980)
Message 49747 - Posted: 16 Feb 2012 | 21:23:21 UTC

Once a SG prime is found, PrimeGrid will begin a new range, with higher n values.

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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 49752 - Posted: 16 Feb 2012 | 22:46:10 UTC - in response to Message 49741.

....I was asking about the future of the SGS search, if and when we switch to another range...

The plan was to finish off the current SGS search at n=666666 with hopes that an SG prime would be found. Then the goal was to collaborate with David Underbakke again in two specialized sieves for SGS and TPS. Both sieves would again have the possibility of finding each other's form as well as the addition of a Cunningham Chain form. Yes, this would rejuvenate the TPS project...and open up the badge again. :)

Depending on whether or not an SG prime is found at n=666666, the next SG search would either increase in n or decrease. The current SG record is 183027*2^265440-1. As you can see, n is substantially lower than our current range of n=666666.

The TPS search would be at n=1010101. With twins at 333333 and 666669, the next logical step would be 999999. However, because of PG's success, the expectation now is for a megabit twin. n=1010101 is a good choice since it has nice symmetry and it would be a fitting symbolic gesture to binary code.

If you take this natural progression you'll figure out that, when the software/hardware are of proper caliber, the goal will eventually lead to the search for twin mega primes. But that's still quite a ways down the road.

Unfortunately, the ideas were tabled.
____________

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Discovered 1 mega primeFound 2 primes in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,695,011)Cullen LLR Ruby: Earned 2,000,000 credits (2,773,730)ESP LLR Turquoise: Earned 5,000,000 credits (5,174,327)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,356,142)PPS LLR Jade: Earned 10,000,000 credits (18,162,977)PSP LLR Ruby: Earned 2,000,000 credits (4,499,306)SoB LLR Turquoise: Earned 5,000,000 credits (5,014,268)SR5 LLR Jade: Earned 10,000,000 credits (11,169,992)SGS LLR Turquoise: Earned 5,000,000 credits (6,132,465)TRP LLR Turquoise: Earned 5,000,000 credits (6,568,836)Woodall LLR Ruby: Earned 2,000,000 credits (3,612,313)321 Sieve Emerald: Earned 50,000,000 credits (58,508,409)Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (127,922,665)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (30,984,158)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,078,455,234)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,134,964)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,013,696)AP 26/27 Double Bronze: Earned 100,000,000 credits (139,269,221)GFN Double Bronze: Earned 100,000,000 credits (152,361,440)PSA Double Amethyst: Earned 1,000,000,000 credits (1,370,700,486)
Message 49753 - Posted: 16 Feb 2012 | 22:54:17 UTC - in response to Message 49752.

Unfortunately, the ideas were tabled.


So, and pardon my slowness, where does that leave SG and it's future?

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Discovered 5 mega primesEliminated 3 conjecture "k"sFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2018 Tour de Primes Mountain Stage2019 Tour de Primes largest primeFound 4 primes in the 2019 Tour de PrimesFound 1 mega prime in the 2019 Tour de PrimesFound 1 prime in the 2019 Tour de Primes Mountain Stage321 LLR Emerald: Earned 50,000,000 credits (53,735,067)Cullen LLR Emerald: Earned 50,000,000 credits (50,296,190)ESP LLR Emerald: Earned 50,000,000 credits (50,853,190)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (50,309,119)PPS LLR Double Bronze: Earned 100,000,000 credits (100,184,938)PSP LLR Sapphire: Earned 20,000,000 credits (33,726,968)SoB LLR Emerald: Earned 50,000,000 credits (67,865,553)SR5 LLR Emerald: Earned 50,000,000 credits (50,320,316)SGS LLR Sapphire: Earned 20,000,000 credits (26,720,423)TPS LLR (retired) Bronze: Earned 10,000 credits (43,033)TRP LLR Emerald: Earned 50,000,000 credits (57,441,313)Woodall LLR Emerald: Earned 50,000,000 credits (50,956,094)321 Sieve Emerald: Earned 50,000,000 credits (50,611,470)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,142,109)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (50,504,945)PPS Sieve Double Gold: Earned 500,000,000 credits (504,377,255)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,288,222)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,149,354)AP 26/27 Double Silver: Earned 200,000,000 credits (214,118,887)GFN Double Gold: Earned 500,000,000 credits (631,959,957)PSA Double Gold: Earned 500,000,000 credits (531,254,992)
Message 49776 - Posted: 17 Feb 2012 | 12:29:03 UTC - in response to Message 49752.

Yes, this would rejuvenate the TPS project...and open up the badge again. :)

Oh, yeah! Come on...

BONIC is at 31.5T, PRPNet is down to 38.5T, so there are ~7T left? With ~450k test per 1T, still would leave ~3M tests. Is that correct?

____________
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Badge score: 1*1 + 5*1 + 7*1 + 8*8 + 9*7 + 11*1 + 12*3 = 187

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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 49780 - Posted: 17 Feb 2012 | 12:53:44 UTC - in response to Message 49753.

Unfortunately, the ideas were tabled.

So, and pardon my slowness, where does that leave SG and it's future?

In limbo...however, there's probably 6 months remaining of SGS work at n=666666 so plenty of time to discuss future plans.
____________

Message boards : Sophie Germain Prime Search : SGS primes and the Top 5000 List

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