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Message boards : Project Staging Area : GCW Prime Search

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JimBProject donor
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Joined: 4 Aug 11
Posts: 916
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Credit: 974,231,860
RAC: 2,713
Discovered 1 mega prime321 LLR Ruby: Earned 2,000,000 credits (2,691,081)Cullen LLR Turquoise: Earned 5,000,000 credits (5,031,868)ESP LLR Turquoise: Earned 5,000,000 credits (5,064,082)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,038,750)PPS LLR Turquoise: Earned 5,000,000 credits (5,000,220)PSP LLR Turquoise: Earned 5,000,000 credits (7,674,374)SoB LLR Sapphire: Earned 20,000,000 credits (42,604,648)SR5 LLR Jade: Earned 10,000,000 credits (11,829,173)SGS LLR Ruby: Earned 2,000,000 credits (2,148,535)TRP LLR Ruby: Earned 2,000,000 credits (2,291,092)Woodall LLR Turquoise: Earned 5,000,000 credits (5,046,412)321 Sieve Jade: Earned 10,000,000 credits (10,057,614)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,002,919)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,005,451)PPS Sieve Emerald: Earned 50,000,000 credits (52,042,965)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,341,676)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,070,804)AP 26/27 Jade: Earned 10,000,000 credits (10,742,251)GFN Emerald: Earned 50,000,000 credits (50,000,251)PSA Double Gold: Earned 500,000,000 credits (728,547,693)
Message 23881 - Posted: 19 May 2010 | 0:27:08 UTC
Last modified: 21 Oct 2016 | 21:38:35 UTC

GCW Prime Search

What an unprecedented start in PRPNet to the Generalized Cullen/Woodall Prime search. Thank you to everyone for giving this project a tremendous head start.

The objective of the GCW prime search will be to discover primes on bases that have yet to yield a prime. Therefore, it is not for the faint-hearted. :) The original GCW13 search was fortunate enough to find a World Record GW prime: 563528*13^563528-1. Unfortunately, the GC prime has yet to be discovered. However, if/when it is, it will be the first Mega Prime for either GC or GW. Hopefully in the not to distant future, the GC13 search will resume for 1M<n<2M.

The following bases have yet to produce a prime (highlighted ones have been found):


  • Woodall b=43, 104 & 121
  • Cullen b=13, 25, 29, 41, 47, 49, 53, 55, 68, 69, 73, 79, 101, 109, 113, 116 & 121


Base 149 is the next primeless base for both GC and GW. NOTE: some bases are not quite ready. They will be added to the server when prepared.

The initial sieve depth of all bases is 1.5T. However, all will be taken deeper as necessary. Lennart primality tested all bases up to n=100K (except GW121 to 50K). As seen below, this was all double check of previous efforts. For many of the bases, we are already at first pass level. If the current rate keeps up for a few days then we may see first pass on almost all bases. Hopefully all this hard work will translate into a few early primes. :)

GCW Stats:


Best of Luck to everyone and thank you for participating!

---------------------------------------------------------

base, [limit]
Cullen
13, [1000000]
25, [1000000]
29, [1000000]
41, [1000000]
47, [1000000]
49, [1000000]
53, [1000000]
55, [1000000]
69, [1000000]
73, [1000000]
101, [1000000]
109, [1000000]
116, [500000]
121, [200000]

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PPS LLR Ruby: Earned 2,000,000 credits (2,227,514)SGS LLR Ruby: Earned 2,000,000 credits (2,113,266)TPS LLR (retired) Bronze: Earned 10,000 credits (20,542)321 Sieve Silver: Earned 100,000 credits (111,333)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (20,009)PPS Sieve Amethyst: Earned 1,000,000 credits (1,267,924)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,056,728)TRP Sieve (suspended) Silver: Earned 100,000 credits (169,622)AP 26/27 Silver: Earned 100,000 credits (107,843)GFN Silver: Earned 100,000 credits (162,356)PSA Gold: Earned 500,000 credits (606,099)
Message 23882 - Posted: 19 May 2010 | 0:50:16 UTC - in response to Message 23881.

Do we just do a single check in this search, or is there a double check?
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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 23884 - Posted: 19 May 2010 | 1:23:17 UTC - in response to Message 23882.

Do we just do a single check in this search, or is there a double check?

Single check. However, residues are saved should there be interest in a double check in the future.
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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 23887 - Posted: 19 May 2010 | 5:22:13 UTC
Last modified: 19 May 2010 | 5:51:07 UTC

The first success!!!

GW121 falls quickly. 94112*121^94112-1 is prime! Found by Dmitry Domanov (unconnected) on 19 May 2010 at 04:45:00 UTC. The prime is 196021 digits and is the sixth largest known generalized Woodall prime.

Base 121 was the next lowest base that had neither a GC or GW prime. That issue has now been resolved. :) We'll continue to search for the GC121 and maybe add base 149, the next lowest base in which there are no known GC and GW primes. (GW [112000]; GC [180000])

Congratulations to Dmitry and to everyone else participating.

NOTE: The description "94112*121^94112-1" was modified to "94112*11^188224-1" at the Prime Pages in accordance with their canonicalization procedures.
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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 23985 - Posted: 25 May 2010 | 13:50:05 UTC

Update

It's been almost a week since the quick success in removing GW121. It gave a little false hope that a few more would be removed by now. However, it's proving to be as tough as we expected. These primeless bases are holding strong.

All bases except GW104 and GC116 have now been added to the server. We expect these to be ready in a week or two. Sieving continues on the other bases with many being at 2T already.

Best of Luck to everyone and thank you for participating!

GCW Stats:



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Discovered the World's First base 68 Generalized Cullen prime!!!Eliminated 4 conjecture "k"s321 LLR Gold: Earned 500,000 credits (517,694)Cullen LLR Bronze: Earned 10,000 credits (22,649)PPS LLR Ruby: Earned 2,000,000 credits (3,716,757)PSP LLR Amethyst: Earned 1,000,000 credits (1,255,162)SoB LLR Amethyst: Earned 1,000,000 credits (1,529,355)SGS LLR Bronze: Earned 10,000 credits (79,385)TRP LLR Bronze: Earned 10,000 credits (42,673)Woodall LLR Silver: Earned 100,000 credits (360,820)321 Sieve Bronze: Earned 10,000 credits (21,641)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,449,647)PPS Sieve Ruby: Earned 2,000,000 credits (4,110,585)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (75,714)TRP Sieve (suspended) Bronze: Earned 10,000 credits (54,880)AP 26/27 Bronze: Earned 10,000 credits (42,894)PSA Emerald: Earned 50,000,000 credits (78,365,420)
Message 23989 - Posted: 25 May 2010 | 18:23:37 UTC

I think I'll receive an email soon ;)
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Discovered the World's First base 121 Generalized Woodall prime!!!Eliminated 1 conjecture "k"321 LLR Jade: Earned 10,000,000 credits (17,415,188)Cullen LLR Jade: Earned 10,000,000 credits (10,637,369)ESP LLR Turquoise: Earned 5,000,000 credits (8,666,161)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,631,688)PPS LLR Sapphire: Earned 20,000,000 credits (25,193,387)PSP LLR Jade: Earned 10,000,000 credits (11,349,641)SoB LLR Sapphire: Earned 20,000,000 credits (20,731,142)SR5 LLR Jade: Earned 10,000,000 credits (10,325,270)SGS LLR Turquoise: Earned 5,000,000 credits (7,398,542)TRP LLR Jade: Earned 10,000,000 credits (18,657,008)Woodall LLR Jade: Earned 10,000,000 credits (13,074,492)321 Sieve Amethyst: Earned 1,000,000 credits (1,571,835)Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,300,282)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,507,840)PPS Sieve Jade: Earned 10,000,000 credits (14,932,890)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,114,568)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,917,732)AP 26/27 Ruby: Earned 2,000,000 credits (2,264,111)GFN Emerald: Earned 50,000,000 credits (61,954,241)PSA Emerald: Earned 50,000,000 credits (62,844,629)
Message 23990 - Posted: 25 May 2010 | 18:26:52 UTC

It seems [SG-SPEG]Puzzle-Peter has found prime in high-weighted GC68!

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321 LLR Silver: Earned 100,000 credits (189,629)Cullen LLR Silver: Earned 100,000 credits (418,789)ESP LLR Silver: Earned 100,000 credits (328,890)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (387,500)PPS LLR Silver: Earned 100,000 credits (181,411)PSP LLR Gold: Earned 500,000 credits (536,351)SoB LLR Turquoise: Earned 5,000,000 credits (5,332,852)SR5 LLR Silver: Earned 100,000 credits (125,004)SGS LLR Bronze: Earned 10,000 credits (20,900)TRP LLR Silver: Earned 100,000 credits (205,735)Woodall LLR Gold: Earned 500,000 credits (564,482)321 Sieve Bronze: Earned 10,000 credits (28,084)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (21,611)Generalized Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (48,057)PPS Sieve Gold: Earned 500,000 credits (598,073)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (22,020)TRP Sieve (suspended) Silver: Earned 100,000 credits (202,720)AP 26/27 Silver: Earned 100,000 credits (149,591)PSA Amethyst: Earned 1,000,000 credits (1,052,288)
Message 23991 - Posted: 25 May 2010 | 18:48:22 UTC

Congratulations!
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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 23992 - Posted: 25 May 2010 | 20:37:49 UTC
Last modified: 25 May 2010 | 21:04:28 UTC

The second success!!!

I should post updates more often if it means finding a prime shortly afterwards. :D

The heavy weight monster GC68 has fallen: 129897*68^129897+1 is prime! Found by Peter Kaiser (Puzzle-Peter) on 25 May 2010 18:16:49 UTC. The prime is 238043 digits and is the fourth largest known generalized Cullen prime.

Congratulations to Peter and to everyone else participating. Now on to the next one!!! :)
____________

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321 LLR Bronze: Earned 10,000 credits (27,956)Cullen LLR Bronze: Earned 10,000 credits (13,001)PPS LLR Silver: Earned 100,000 credits (196,311)Woodall LLR Bronze: Earned 10,000 credits (15,134)TRP Sieve (suspended) Bronze: Earned 10,000 credits (30,520)PSA Ruby: Earned 2,000,000 credits (2,409,053)
Message 24006 - Posted: 26 May 2010 | 16:05:01 UTC

Congratulations Peter :)
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Discovered the World's First base 68 Generalized Cullen prime!!!Eliminated 4 conjecture "k"s321 LLR Gold: Earned 500,000 credits (517,694)Cullen LLR Bronze: Earned 10,000 credits (22,649)PPS LLR Ruby: Earned 2,000,000 credits (3,716,757)PSP LLR Amethyst: Earned 1,000,000 credits (1,255,162)SoB LLR Amethyst: Earned 1,000,000 credits (1,529,355)SGS LLR Bronze: Earned 10,000 credits (79,385)TRP LLR Bronze: Earned 10,000 credits (42,673)Woodall LLR Silver: Earned 100,000 credits (360,820)321 Sieve Bronze: Earned 10,000 credits (21,641)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,449,647)PPS Sieve Ruby: Earned 2,000,000 credits (4,110,585)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (75,714)TRP Sieve (suspended) Bronze: Earned 10,000 credits (54,880)AP 26/27 Bronze: Earned 10,000 credits (42,894)PSA Emerald: Earned 50,000,000 credits (78,365,420)
Message 24009 - Posted: 26 May 2010 | 17:36:31 UTC

Thanks folks! It's a bit of a joke. During the past months I spent more than 100k CPU hours with dozens of machines on 27121 without finding anything. Then I put 1 Core on PRPnet for a few hours and bang!

OK, who's next?
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Discovered the World's First base 121 Generalized Woodall prime!!!Eliminated 1 conjecture "k"321 LLR Jade: Earned 10,000,000 credits (17,415,188)Cullen LLR Jade: Earned 10,000,000 credits (10,637,369)ESP LLR Turquoise: Earned 5,000,000 credits (8,666,161)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,631,688)PPS LLR Sapphire: Earned 20,000,000 credits (25,193,387)PSP LLR Jade: Earned 10,000,000 credits (11,349,641)SoB LLR Sapphire: Earned 20,000,000 credits (20,731,142)SR5 LLR Jade: Earned 10,000,000 credits (10,325,270)SGS LLR Turquoise: Earned 5,000,000 credits (7,398,542)TRP LLR Jade: Earned 10,000,000 credits (18,657,008)Woodall LLR Jade: Earned 10,000,000 credits (13,074,492)321 Sieve Amethyst: Earned 1,000,000 credits (1,571,835)Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,300,282)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,507,840)PPS Sieve Jade: Earned 10,000,000 credits (14,932,890)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,114,568)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,917,732)AP 26/27 Ruby: Earned 2,000,000 credits (2,264,111)GFN Emerald: Earned 50,000,000 credits (61,954,241)PSA Emerald: Earned 50,000,000 credits (62,844,629)
Message 24010 - Posted: 26 May 2010 | 19:37:38 UTC - in response to Message 24009.

OK, who's next?


Sideshow_Larry on GW104! Congratulations!
Woodall bases falling pretty fast.

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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 24011 - Posted: 26 May 2010 | 19:39:39 UTC
Last modified: 26 May 2010 | 20:00:48 UTC

The third success!!!

...and to answer your question, Peter, it looks like Larry Hays is next. :D

Another heavy weight monster GW104 has fallen: 129840*104^129840-1 is prime! Found by Larry Hays ( Sideshow_Larry) on 26 May 2010 19:25:30 UTC. The prime is 261897 digits and is the second largest known generalized Woodall prime. EDIT: second only to Lennart's 563528*13^563528-1 at a huge 627745 digits.

Congratulations to Larry and to everyone else participating. Next!!! :)
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PPS LLR Ruby: Earned 2,000,000 credits (2,227,514)SGS LLR Ruby: Earned 2,000,000 credits (2,113,266)TPS LLR (retired) Bronze: Earned 10,000 credits (20,542)321 Sieve Silver: Earned 100,000 credits (111,333)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (20,009)PPS Sieve Amethyst: Earned 1,000,000 credits (1,267,924)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,056,728)TRP Sieve (suspended) Silver: Earned 100,000 credits (169,622)AP 26/27 Silver: Earned 100,000 credits (107,843)GFN Silver: Earned 100,000 credits (162,356)PSA Gold: Earned 500,000 credits (606,099)
Message 24012 - Posted: 26 May 2010 | 20:07:00 UTC
Last modified: 26 May 2010 | 20:37:08 UTC

It looks like we will soon be searching new (higher) bases, if we continue this way!
Well done everyone
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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 24013 - Posted: 27 May 2010 | 4:04:21 UTC - in response to Message 24012.

It looks like we will soon be searching new (higher) bases, if we continue this way!
Well done everyone

Yes, it would be nice to move in that direction. However, there's plenty of work now with what we have. Let's hope those bases continue to fall so that we can add more.

Speaking of adding more, due to an error on my part, there were 4 GC "primeless" bases that should have been included. By "primeless" I mean lacking of GC primes. These 4 bases actually have primes but they are not GC primes. By definition, a GCW prime must have n+2 > b. The 4 bases are as follows:

    GC base [testing limit]
  • 32 [100000] prime at n=5
  • 75 [109097] prime at n=2
  • 106 [95000] prime at n=1, 3
  • 115 [95000] prime at n=24


As can be seen, none are at n + 2 > b. Therefore, these bases should have been included in the original list. The are no immediate plans to add them since there's plenty of work with the current bases. However, sieving will begin so they'll be ready in the future.

Also being sieved is base 149, the next "primeless" base for both GC and GW. Additionally, just for fun, base 3 is being sieved to n=3M as a possible opportunity to find a GCW Mega Prime. And finally, there's still GC13 for 1M<n<2M.

Again, nothing will be added for now...just giving everyone a heads up as to the future direction of the GCW Prime Search. Best of Luck and thank you for participating!

____________

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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 24015 - Posted: 27 May 2010 | 12:26:00 UTC

It's official!

GC13 is complete to n=1M. It's a bitter-sweet achievement. :) Finding the prime would have been a more exciting occasion...especially a GC Mega Prime. Nevertheless, it's a GREAT milestone to reach. GC13 1M<n<2M will return in the future...most likely for a "Friday the 13th" mini Challenge. ;) Until then, let's knock out some of these lower bases.

Thank you to everyone!
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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 24043 - Posted: 30 May 2010 | 21:10:20 UTC

Update

Progress continues to advance quite nicely even with the longer testing times. This is a direct result from the high participation rate. Thanks!!! Now if we could just find another one of those elusive primes.

It's official...the leading edge of the search is in record territory. The next GC prime found will be the largest known.

All of the original bases have now been added to the server. Sieving continues on the other bases.

Best of Luck to everyone and thank you for participating!

GCW Stats:



____________

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Discovered the World's First base 121 Generalized Woodall prime!!!Eliminated 1 conjecture "k"321 LLR Jade: Earned 10,000,000 credits (17,415,188)Cullen LLR Jade: Earned 10,000,000 credits (10,637,369)ESP LLR Turquoise: Earned 5,000,000 credits (8,666,161)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,631,688)PPS LLR Sapphire: Earned 20,000,000 credits (25,193,387)PSP LLR Jade: Earned 10,000,000 credits (11,349,641)SoB LLR Sapphire: Earned 20,000,000 credits (20,731,142)SR5 LLR Jade: Earned 10,000,000 credits (10,325,270)SGS LLR Turquoise: Earned 5,000,000 credits (7,398,542)TRP LLR Jade: Earned 10,000,000 credits (18,657,008)Woodall LLR Jade: Earned 10,000,000 credits (13,074,492)321 Sieve Amethyst: Earned 1,000,000 credits (1,571,835)Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,300,282)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,507,840)PPS Sieve Jade: Earned 10,000,000 credits (14,932,890)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,114,568)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,917,732)AP 26/27 Ruby: Earned 2,000,000 credits (2,264,111)GFN Emerald: Earned 50,000,000 credits (61,954,241)PSA Emerald: Earned 50,000,000 credits (62,844,629)
Message 24192 - Posted: 7 Jun 2010 | 13:24:55 UTC

Port 12004 is down for several hours :-(

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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 24194 - Posted: 7 Jun 2010 | 14:54:57 UTC - in response to Message 24192.

Port 12004 is down for several hours :-(

Yes, it was down. Thanks for the heads up. I hope you had back-up projects selected so the cores didn't go idle.
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Discovered the World's First base 121 Generalized Woodall prime!!!Eliminated 1 conjecture "k"321 LLR Jade: Earned 10,000,000 credits (17,415,188)Cullen LLR Jade: Earned 10,000,000 credits (10,637,369)ESP LLR Turquoise: Earned 5,000,000 credits (8,666,161)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,631,688)PPS LLR Sapphire: Earned 20,000,000 credits (25,193,387)PSP LLR Jade: Earned 10,000,000 credits (11,349,641)SoB LLR Sapphire: Earned 20,000,000 credits (20,731,142)SR5 LLR Jade: Earned 10,000,000 credits (10,325,270)SGS LLR Turquoise: Earned 5,000,000 credits (7,398,542)TRP LLR Jade: Earned 10,000,000 credits (18,657,008)Woodall LLR Jade: Earned 10,000,000 credits (13,074,492)321 Sieve Amethyst: Earned 1,000,000 credits (1,571,835)Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,300,282)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,507,840)PPS Sieve Jade: Earned 10,000,000 credits (14,932,890)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,114,568)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,917,732)AP 26/27 Ruby: Earned 2,000,000 credits (2,264,111)GFN Emerald: Earned 50,000,000 credits (61,954,241)PSA Emerald: Earned 50,000,000 credits (62,844,629)
Message 33304 - Posted: 24 Feb 2011 | 20:00:53 UTC

Looks like MiHost recently has found prime for GW43!

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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 33320 - Posted: 24 Feb 2011 | 21:23:54 UTC - in response to Message 33304.

Looks like MiHost recently has found prime for GW43!

Yes, a new record GW has been found. More info to come. This sure is going to pad MiHost's lead for the green jersey. :D
____________

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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 33339 - Posted: 25 Feb 2011 | 3:38:42 UTC - in response to Message 33320.

Looks like MiHost recently has found prime for GW43!

Yes, a new record GW has been found. More info to come. This sure is going to pad MiHost's lead for the green jersey. :D

Still waiting on hearing back from MiHost. However, I wanted to point out that this was our last primeless GW. Only GC's remain. The next lowest GW base without a prime is 145. We may introduce this to the search just so the Woodall's are represented.
____________

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Discovered the World's First base 121 Generalized Woodall prime!!!Eliminated 1 conjecture "k"321 LLR Jade: Earned 10,000,000 credits (17,415,188)Cullen LLR Jade: Earned 10,000,000 credits (10,637,369)ESP LLR Turquoise: Earned 5,000,000 credits (8,666,161)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,631,688)PPS LLR Sapphire: Earned 20,000,000 credits (25,193,387)PSP LLR Jade: Earned 10,000,000 credits (11,349,641)SoB LLR Sapphire: Earned 20,000,000 credits (20,731,142)SR5 LLR Jade: Earned 10,000,000 credits (10,325,270)SGS LLR Turquoise: Earned 5,000,000 credits (7,398,542)TRP LLR Jade: Earned 10,000,000 credits (18,657,008)Woodall LLR Jade: Earned 10,000,000 credits (13,074,492)321 Sieve Amethyst: Earned 1,000,000 credits (1,571,835)Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,300,282)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,507,840)PPS Sieve Jade: Earned 10,000,000 credits (14,932,890)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,114,568)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,917,732)AP 26/27 Ruby: Earned 2,000,000 credits (2,264,111)GFN Emerald: Earned 50,000,000 credits (61,954,241)PSA Emerald: Earned 50,000,000 credits (62,844,629)
Message 34151 - Posted: 15 Mar 2011 | 5:18:19 UTC

Port 12004 is down.

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Found 1 prime in the 2019 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,310,491)Cullen LLR Amethyst: Earned 1,000,000 credits (1,065,659)ESP LLR Amethyst: Earned 1,000,000 credits (1,875,010)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,216,209)PPS LLR Turquoise: Earned 5,000,000 credits (5,212,863)PSP LLR Amethyst: Earned 1,000,000 credits (1,323,642)SoB LLR Turquoise: Earned 5,000,000 credits (7,603,584)SR5 LLR Amethyst: Earned 1,000,000 credits (1,891,772)SGS LLR Amethyst: Earned 1,000,000 credits (1,163,706)TRP LLR Ruby: Earned 2,000,000 credits (3,832,495)Woodall LLR Amethyst: Earned 1,000,000 credits (1,323,182)321 Sieve Ruby: Earned 2,000,000 credits (2,432,077)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,967,439)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,137,451)PPS Sieve Double Silver: Earned 200,000,000 credits (266,699,725)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (627,444)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (3,956,401)AP 26/27 Jade: Earned 10,000,000 credits (15,856,233)GFN Emerald: Earned 50,000,000 credits (64,937,531)PSA Emerald: Earned 50,000,000 credits (87,901,787)
Message 48055 - Posted: 29 Jan 2012 | 8:40:09 UTC

seems to me there is a hit after a long period

GCW13 User MiHost has found 2 primes and 0 PRPs, 1 is hidden

congratulation!

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PPS LLR Bronze: Earned 10,000 credits (31,229)PSA Jade: Earned 10,000,000 credits (18,533,435)
Message 48072 - Posted: 29 Jan 2012 | 14:00:57 UTC

That would be a monster prime. If true, that would be for base 113 and around 900,000 decimal digits (calculating off the top of my head).

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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 48089 - Posted: 29 Jan 2012 | 18:25:38 UTC

World Record GC Prime!!!

Finally, GC relinquishes its stubborn hold on primes...and does so in World Record fashion. GC113 has fallen: 427194*113^427194+1

Found by Ricky L Hubbard (MiHost) on 29 Jan 2012 08:10:03 UTC. The prime is 877,069 digits and is the largest known generalized Cullen prime. BTW, Ricky also holds the World Record for generalized Woodalls as well: 404882*43^404882-1

Congratulations to Ricky and to everyone else participating.
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Message 48101 - Posted: 29 Jan 2012 | 19:30:58 UTC

Congrats Ricky!

John, don't forget to remove the other base 113 candidates from the server since we only care about the first one.

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Discovered the World's First base 121 Generalized Woodall prime!!!Eliminated 1 conjecture "k"321 LLR Jade: Earned 10,000,000 credits (17,415,188)Cullen LLR Jade: Earned 10,000,000 credits (10,637,369)ESP LLR Turquoise: Earned 5,000,000 credits (8,666,161)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,631,688)PPS LLR Sapphire: Earned 20,000,000 credits (25,193,387)PSP LLR Jade: Earned 10,000,000 credits (11,349,641)SoB LLR Sapphire: Earned 20,000,000 credits (20,731,142)SR5 LLR Jade: Earned 10,000,000 credits (10,325,270)SGS LLR Turquoise: Earned 5,000,000 credits (7,398,542)TRP LLR Jade: Earned 10,000,000 credits (18,657,008)Woodall LLR Jade: Earned 10,000,000 credits (13,074,492)321 Sieve Amethyst: Earned 1,000,000 credits (1,571,835)Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,300,282)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,507,840)PPS Sieve Jade: Earned 10,000,000 credits (14,932,890)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,114,568)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,917,732)AP 26/27 Ruby: Earned 2,000,000 credits (2,264,111)GFN Emerald: Earned 50,000,000 credits (61,954,241)PSA Emerald: Earned 50,000,000 credits (62,844,629)
Message 48240 - Posted: 31 Jan 2012 | 9:27:18 UTC
Last modified: 31 Jan 2012 | 9:27:44 UTC

Congratulations for Monster prime!

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Found 1 prime in the 2019 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,310,491)Cullen LLR Amethyst: Earned 1,000,000 credits (1,065,659)ESP LLR Amethyst: Earned 1,000,000 credits (1,875,010)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,216,209)PPS LLR Turquoise: Earned 5,000,000 credits (5,212,863)PSP LLR Amethyst: Earned 1,000,000 credits (1,323,642)SoB LLR Turquoise: Earned 5,000,000 credits (7,603,584)SR5 LLR Amethyst: Earned 1,000,000 credits (1,891,772)SGS LLR Amethyst: Earned 1,000,000 credits (1,163,706)TRP LLR Ruby: Earned 2,000,000 credits (3,832,495)Woodall LLR Amethyst: Earned 1,000,000 credits (1,323,182)321 Sieve Ruby: Earned 2,000,000 credits (2,432,077)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,967,439)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,137,451)PPS Sieve Double Silver: Earned 200,000,000 credits (266,699,725)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (627,444)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (3,956,401)AP 26/27 Jade: Earned 10,000,000 credits (15,856,233)GFN Emerald: Earned 50,000,000 credits (64,937,531)PSA Emerald: Earned 50,000,000 credits (87,901,787)
Message 51253 - Posted: 7 Mar 2012 | 16:36:36 UTC

port prpnet.primegrid.com:12004 is down

hope you get it back online before the challenge starts at 03/11/12
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