mersenneforum.org  

Go Back   mersenneforum.org > Factoring Projects > Factoring

Reply
 
Thread Tools
Old 2016-11-04, 00:10   #144
Batalov
 
Batalov's Avatar
 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

2·33·132 Posts
Default 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
Batalov is offline   Reply With Quote
Old 2016-11-05, 15:29   #145
Batalov
 
Batalov's Avatar
 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

2·33·132 Posts
Default

Code:
GF(185,11) has a factor: 206010367953*2^186+1 = 20205438096647264763955594917894328061120735144125446982446813806593 
[TF:223:224:mmff-gfn11 0.28 mfaktc_barrett224_F160_191gs]
Batalov is offline   Reply With Quote
Old 2016-11-05, 15:59   #146
rajula
 
rajula's Avatar
 
"Tapio Rajala"
Feb 2010
Finland

32·5·7 Posts
Default

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.
rajula is offline   Reply With Quote
Old 2016-11-06, 01:20   #147
Batalov
 
Batalov's Avatar
 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

23A616 Posts
Default

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
Batalov is offline   Reply With Quote
Old 2016-11-13, 22:09   #148
Batalov
 
Batalov's Avatar
 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

2·33·132 Posts
Wink

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]
Batalov is offline   Reply With Quote
Old 2017-01-23, 12:29   #149
houding
 
houding's Avatar
 
"Adolf"
Nov 2013
South Africa

6110 Posts
Default

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
houding is offline   Reply With Quote
Old 2017-02-20, 12:06   #150
ET_
Banned
 
ET_'s Avatar
 
"Luigi"
Aug 2002
Team Italia

476610 Posts
Default

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)!!!!
ET_ is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Generalized Fermat numbers (in our case primes) pepi37 Conjectures 'R Us 4 2015-10-09 14:49
Pseudoprimality Hypothesis for Specific Class of Generalized Fermat Numbers primus Miscellaneous Math 1 2015-03-25 22:18
Generalized Fermat factors - why? siegert81 Factoring 1 2011-09-05 23:00
Generalized Fermat Numbers ET_ Programming 4 2008-06-23 07:59
Generalized Fermat Prime Search? pacionet Lounge 3 2006-01-25 15:40

All times are UTC. The time now is 09:44.

Fri Sep 25 09:44:02 UTC 2020 up 15 days, 6:55, 0 users, load averages: 2.28, 2.33, 2.01

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.