New Generalized Fermat factors - Page 14

Batalov · 2016-11-04, 00:10

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]

Batalov · 2016-11-05, 15:29

Code:

GF(185,11) has a factor: 206010367953*2^186+1 = 20205438096647264763955594917894328061120735144125446982446813806593 
[TF:223:224:mmff-gfn11 0.28 mfaktc_barrett224_F160_191gs]

rajula · 2016-11-05, 15:59

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.

Batalov · 2016-11-06, 01:20

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"

Batalov · 2016-11-13, 22:09

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]

houding · 2017-01-23, 12:29

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

ET_ · 2017-02-20, 12:06

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)!!!!

2016-11-05, 15:29	#145
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 22160₈ Posts	Code: GF(185,11) has a factor: 206010367953*2^186+1 = 20205438096647264763955594917894328061120735144125446982446813806593 [TF:223:224:mmff-gfn11 0.28 mfaktc_barrett224_F160_191gs]

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2016-11-05, 15:59	#146
rajula "Tapio Rajala" Feb 2010 Finland 100111011₂ 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.

2017-01-23, 12:29	#149
houding "Adolf" Nov 2013 South Africa 61 Posts	862292^82319+1 is a Factor of xGF(82318,10,3)!!!! 171051812^14973+1 is a Factor of xGF(14969,11,5)!!!! Adolf

2017-02-20, 12:06	#150
ET_ Banned "Luigi" Aug 2002 Team Italia 2×7⁴ 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 200856032^14098+1 is a Factor of xGF(14097,9,5)!!!! 217048972^14499+1 is a Factor of xGF(14498,9,5)!!!! 28371113*2^14393+1 is a Factor of xGF(14392,7,2)!!!!