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 2016-07-02, 05:53 #78 wombatman I moo ablest echo power!     May 2013 22×449 Posts For base 26: Code: (26^75993+1)^2-2 is prime! (15529.3052s+0.0087s) 215057 digits.
 2016-07-06, 22:24 #79 rogue     "Mark" Apr 2003 Between here and the 147118 Posts (2^688042-1)^2-2 is prime at 414243 digits. This is a new record for that form and will enter the top 5000 in the 2700 range.
2016-07-06, 22:37   #80
paulunderwood

Sep 2002
Database er0rr

5·829 Posts

Quote:
 Originally Posted by rogue (2^688042-1)^2-2 is prime at 414243 digits. This is a new record for that form and will enter the top 5000 in the 2700 range.
Congrats for another one!

 2016-07-17, 02:10 #81 rogue     "Mark" Apr 2003 Between here and the 7·23·41 Posts I have been very lucky. (2^695631-1)^2-2 is prime at just over 418,800 digits. It will be around 2600 in the Top 5000.
 2016-07-27, 08:04 #82 henryzz Just call me Henry     "David" Sep 2007 Liverpool (GMT/BST) 32·5·7·19 Posts For base 24: Code: (24^20047-1)^2-2 is 3-PRP!
 2016-11-24, 17:31 #83 BotXXX     Aug 2003 Europe 19410 Posts Following http://www.mersenneforum.org/showpos...4&postcount=69 (2010^3+1)^2-2 is 3-PRP! (0.0000s+0.0001s) Primality testing (2010^3+1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 13, base 1+sqrt(13) Running N+1 test using discriminant 13, base 2+sqrt(13) (2010^3+1)^2-2 is prime! (0.0227s+0.0010s) (2010^3-1)^2-2 is 3-PRP! (0.0000s+0.0006s) Primality testing (2010^3-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11 Running N+1 test using discriminant 17, base 1+sqrt(17) Running N+1 test using discriminant 17, base 2+sqrt(17) (2010^3-1)^2-2 is prime! (0.0242s+0.0014s) (2010^35-1)^2-2 is 3-PRP! (0.0018s+0.0001s) Primality testing (2010^35-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 17 Running N+1 test using discriminant 23, base 1+sqrt(23) (2010^35-1)^2-2 is prime! (0.0311s+0.0004s) (2010^1967-1)^2-2 is 3-PRP! (3.4481s+0.0003s) Primality testing (2010^1967-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 17 Running N+1 test using discriminant 29, base 1+sqrt(29) Running N+1 test using discriminant 29, base 2+sqrt(29) (2010^1967-1)^2-2 is prime! (32.5536s+0.0007s) OpenPFGW 3.8.0 on Windows with an Intel Core i7-3667U Just to get a feeling of cksieve and openpwfg (a long long time ago), after the initial start sieve (-P1e9) I checked 1 <= n <= 2000. The above are the 4 primes found. Will continue to sieve and test this base. To keep the format of http://www.mersenneforum.org/rogue/ckps.html : base 2010 (-1) 3 35 1967 base 2010 (+1) 3
 2017-01-20, 16:10 #84 BotXXX     Aug 2003 Europe 19410 Posts (2010^30505+1)^2-2 is 3-PRP! (1158.2858s+0.0108s) Primality testing (2010^30505+1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 17, base 1+sqrt(17) (2010^30505+1)^2-2 is prime! (7971.5683s+0.0110s) 201528 digits - ie too small for the top 5 .. ;)
 2017-03-06, 10:08 #85 BotXXX     Aug 2003 Europe 2·97 Posts Current primes (for both bases upto n = 40.000) base 316 (-1) 1 5 27 183 5331 14854 17396 base 316 (+1) 9 41 360 521 6421 base 2010 (-1) 3 35 1967 base 2010 (+1) 3 30505 (316^1-1)^2-2 is 3-PRP! (0.0000s+0.0001s) Primality testing (316^1-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] (316^1-1)^2-2 is prime! (0.0001s+0.0008s) (316^5-1)^2-2 is 3-PRP! (0.0000s+0.0007s) Primality testing (316^5-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 5 Running N+1 test using discriminant 17, base 1+sqrt(17) Running N+1 test using discriminant 17, base 2+sqrt(17) (316^5-1)^2-2 is prime! (0.0283s+0.0004s) (316^9+1)^2-2 is 3-PRP! (0.0000s+0.0001s) Primality testing (316^9+1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N+1 test using discriminant 13, base 1+sqrt(13) Running N+1 test using discriminant 13, base 2+sqrt(13) (316^9+1)^2-2 is prime! (0.0276s+0.0006s) (316^27-1)^2-2 is 3-PRP! (0.0003s+0.0002s) Primality testing (316^27-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 5 Running N+1 test using discriminant 13, base 2+sqrt(13) Running N+1 test using discriminant 13, base 3+sqrt(13) (316^27-1)^2-2 is prime! (0.0456s+0.0004s) (316^41+1)^2-2 is 3-PRP! (0.0008s+0.0003s) Primality testing (316^41+1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N+1 test using discriminant 13, base 1+sqrt(13) Running N+1 test using discriminant 13, base 2+sqrt(13) (316^41+1)^2-2 is prime! (0.0338s+0.0004s) (316^183-1)^2-2 is 3-PRP! (0.0147s+0.0001s) Primality testing (316^183-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 11, base 2+sqrt(11) Running N+1 test using discriminant 11, base 3+sqrt(11) (316^183-1)^2-2 is prime! (0.1514s+0.0004s) (316^360+1)^2-2 is 3-PRP! (0.0625s+0.0002s) Primality testing (316^360+1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N+1 test using discriminant 13, base 1+sqrt(13) Running N+1 test using discriminant 13, base 2+sqrt(13) (316^360+1)^2-2 is prime! (0.4942s+0.0004s) (316^521+1)^2-2 is 3-PRP! (0.1391s+0.0002s) Primality testing (316^521+1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N+1 test using discriminant 13, base 1+sqrt(13) Running N+1 test using discriminant 13, base 2+sqrt(13) (316^521+1)^2-2 is prime! (1.0966s+0.0004s) (316^5331-1)^2-2 is 3-PRP! (18.1007s+0.0008s) Primality testing (316^5331-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 11, base 2+sqrt(11) Running N+1 test using discriminant 11, base 3+sqrt(11) (316^5331-1)^2-2 is prime! (148.4876s+0.0012s) (316^6421+1)^2-2 is 3-PRP! (28.4269s+0.0010s) Primality testing (316^6421+1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N+1 test using discriminant 29, base 2+sqrt(29) Running N+1 test using discriminant 29, base 4+sqrt(29) (316^6421+1)^2-2 is prime! (261.8544s+0.0013s) (316^14854-1)^2-2 is 3-PRP! (152.9047s+0.0040s) Primality testing (316^14854-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 17, base 1+sqrt(17) Running N+1 test using discriminant 17, base 2+sqrt(17) (316^14854-1)^2-2 is prime! (1238.4924s+0.0034s) (316^17396-1)^2-2 is 3-PRP! (185.3647s+0.0047s) Primality testing (316^17396-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 13, base 2+sqrt(13) Running N+1 test using discriminant 13, base 3+sqrt(13) (316^17396-1)^2-2 is prime! (1956.7175s+0.0038s)
 2017-04-16, 01:30 #86 Dylan14     "Dylan" Mar 2017 24·37 Posts For base 50, 1 <= n <= 50000, I found the following primes: Code:  (50^1-1)^2-2 (50^3-1)^2-2 (50^4+1)^2-2 (50^4-1)^2-2 (50^9-1)^2-2 (50^31-1)^2-2 (50^38+1)^2-2 (50^66-1)^2-2 (50^93+1)^2-2 (50^115-1)^2-2 (50^120+1)^2-2 (50^430-1)^2-2 (50^1233-1)^2-2 (50^2546-1)^2-2 (50^2674-1)^2-2 (50^4396+1)^2-2 (50^6360-1)^2-2 (50^11459+1)^2-2 (50^25887+1)^2-2
 2017-04-18, 18:40 #87 sweety439     "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 3,389 Posts I searched bases 42, 44, 46 and 48 and found those primes: (for n>100) (42^195-1)^2-2 (42^255-1)^2-2 (42^713-1)^2-2 (42^119+1)^2-2 (44^1288-1)^2-2 (44^195+1)^2-2 (44^1482+1)^2-2 (46^269-1)^2-2 (46^1304-1)^2-2 (48^207+1)^2-2 (48^329+1)^2-2 (48^1153+1)^2-2 Continue searching... Last fiddled with by sweety439 on 2017-04-18 at 18:53
 2017-04-19, 19:17 #88 sweety439     "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 D3D16 Posts Found another prime: (44^1947-1)^2-2

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