mersenneforum.org New Generalized Fermat factors
 Register FAQ Search Today's Posts Mark Forums Read

 2016-11-04, 00:10 #144 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 3·5·17·37 Posts a new one to start off GFN11's Code: GF(134,11) has a factor: 194990800297*2^136+1 = 16986094349535024823555304717165743967644099482222593 [TF:173:174:mmff-gfn11 0.28 mfaktc_barrett183_F128_159gs] GF(214,11) has a factor: 41253031637*2^215+1 = 2172225649983980570496463979033549086366423321721492836873161754464502153217 [TF:250:251:mmff-gfn11 0.28 mfaktc_barrett252_F192_223gs] Last fiddled with by Batalov on 2016-11-04 at 14:42 Reason: +1
 2016-11-05, 15:29 #145 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 3·5·17·37 Posts Code: GF(185,11) has a factor: 206010367953*2^186+1 = 20205438096647264763955594917894328061120735144125446982446813806593 [TF:223:224:mmff-gfn11 0.28 mfaktc_barrett224_F160_191gs]
 2016-11-05, 15:59 #146 rajula     "Tapio Rajala" Feb 2010 Finland 32·5·7 Posts Congratulations on the new factors Batalov! Surely you will be getting more soon. It seems that I'm missing GFN7 factor from my collection. Since I don't have a GPU in use, I'll shoot some candidates with ECM.
 2016-11-06, 01:20 #147 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 943510 Posts Indeed, ECM ...or P-1... Code: 7^4194304+1 has a factor: 20827885658921521643521 (P-1, B1=160000, B2=16000000, E=12) [mprime] 620719363061235*2^25+1 is a Factor of GF(22,7) !!!! (0.000000 seconds) ? factor(20827885658921521643521-1)~ [ 2 3 5 37 53 601 3901301] [25 3 1 1 1 1 1] P.S. The co-factor is composite: Code: (2401^1048576+1)/2/20827885658921521643521 is not prime. RES64: 74CF355631DC5DD7. We8: A1746598,00000000 #prime95/mprime doesn't "show" parentheses in the outout, but we know what "it meant to say" Last fiddled with by Batalov on 2016-11-06 at 23:13 Reason: co-factor is composite
 2016-11-13, 22:09 #148 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 3·5·17·37 Posts Finally, after a week of no factors, two ... next to each other! Code: GF(111,7) has a factor: 3664074159507*2^112+1 [TF:153:154:mmff-gfn7 0.28 mfaktc_barrett160_F96_127gs] GF(111,7) has a factor: 3640791004563*2^113+1 [TF:154:155:mmff-gfn7 0.28 mfaktc_barrett160_F96_127gs]
 2017-01-23, 12:29 #149 houding     "Adolf" Nov 2013 South Africa 1111012 Posts 86229*2^82319+1 is a Factor of xGF(82318,10,3)!!!! 17105181*2^14973+1 is a Factor of xGF(14969,11,5)!!!! Adolf
 2017-02-20, 12:06 #150 ET_ Banned     "Luigi" Aug 2002 Team Italia 2×29×83 Posts I don't know if this thread is dedicated to the "new" 7/11 generalized Fermat factors. If this is the case, then you can use the thread http://www.mersenneforum.org/showthread.php?t=21986 to send your "classsic" gfn/xGF factors else 20085603*2^14098+1 is a Factor of xGF(14097,9,5)!!!! 21704897*2^14499+1 is a Factor of xGF(14498,9,5)!!!! 28371113*2^14393+1 is a Factor of xGF(14392,7,2)!!!!

 Similar Threads Thread Thread Starter Forum Replies Last Post pepi37 Conjectures 'R Us 4 2015-10-09 14:49 primus Miscellaneous Math 1 2015-03-25 22:18 siegert81 Factoring 1 2011-09-05 23:00 ET_ Programming 4 2008-06-23 07:59 pacionet Lounge 3 2006-01-25 15:40

All times are UTC. The time now is 10:05.

Sun May 16 10:05:22 UTC 2021 up 38 days, 4:46, 0 users, load averages: 1.16, 1.72, 1.96