20121026, 08:21  #45 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2×4,663 Posts 
And one more, ...a good test for 0.27 (almost the verge of the new range):
Code:
GF(176,5) has a factor: 50553187030816197905138650389585873825862849611206916638597185537 [TF:214:215:mmffgfn5 0.27 mfaktc_barrett215_F160_191gs] found 1 factor for k*2^177+1 in k range: 200000000000 to 274877906943 (215bit factors) [mmffgfn5 0.27 mfaktc_barrett215_F160_191gs] pfgw f gxo q"263899949763*2^177+1" PFGW Version 3.6.0.64BIT.20111222.x86_Dev [GWNUM 26.6] 263899949763*2^177+1 is a Factor of GF(176,5) 
20121026, 17:20  #46 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2·4,663 Posts 
4366097300905*2^114+1 is a Factor of GF(112,5)

20121026, 17:56  #47 
Apr 2010
Over the rainbow
3^{2}·281 Posts 
why don't I find any factor? tell me whyyyyyyyyy.
_____ SB: As they say at some card tables, "if you lost so much, you must be lucky with women!" Last fiddled with by Batalov on 20121026 at 18:15 
20121030, 19:59  #49 
Jul 2003
3·7·29 Posts 
2 factors for gfn6
204723303114760756658177 11916464608789*2^34+1 is a Factor of GF(33,6)!!!! and 3165784609160494361608193 11517057315943*2^38+1 is a Factor of GF(37,6)!!!! 
20121030, 20:30  #50 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2×4,663 Posts 
Excellent! (The 2nd has a prime k, too: k=11517057315943.)

20121105, 04:08  #51 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2×4,663 Posts 
11647*2^107984+1 is a Factor of GF(107983,5)
11565*2^101166+1 is a Factor of GF(101164,11) 13485*2^110472+1 is a Factor of GF(110470,3) < was known from 2004. But not the other two. And one more (07Nov): 19289*2^141945+1 is a Factor of GF(141944,6) And one more (09Nov): 7490067*2^9196+1 is a Factor of GF(9195,10) Last fiddled with by Batalov on 20121109 at 22:32 
20121107, 18:11  #52 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2×4,663 Posts 
322504582089*2^178+1 is a Factor of GF(173,12)

20121107, 18:18  #53 
Jul 2003
3×7×29 Posts 
factor for gfn12
813463720888202755571713 11837455107717*2^36+1 is a Factor of GF(30,12)!!!! 
20121110, 06:04  #55 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
10010001101110_{2} Posts 
8689209*2^8459+1 is a Factor of GF(8458,10)

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Generalized Fermat numbers (in our case primes)  pepi37  Conjectures 'R Us  4  20151009 14:49 
Pseudoprimality Hypothesis for Specific Class of Generalized Fermat Numbers  primus  Miscellaneous Math  1  20150325 22:18 
Generalized Fermat factors  why?  siegert81  Factoring  1  20110905 23:00 
Generalized Fermat Numbers  ET_  Programming  4  20080623 07:59 
Generalized Fermat Prime Search?  pacionet  Lounge  3  20060125 15:40 