20140422, 21:07  #111 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
3^{2}×17×61 Posts 
19238035476725*2^61+1 is a Factor of GF(60,12)
16909654924891*2^60+1 is a Factor of GF(59,5) 15365812010501*2^73+1 is a Factor of GF(72,5) Last fiddled with by Batalov on 20140425 at 06:15 Reason: + two more 
20140422, 23:52  #112  
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
31·157 Posts 
Quote:
Last fiddled with by pinhodecarlos on 20140422 at 23:54 

20140423, 12:07  #113 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
4867_{10} Posts 
This paper is free to be downloaded.
I opened at the university with access to sciencedirect.com and didn't notice it was free until I tried at home. Stupid of me! Anyway, let me know if you guys need more papers from sciencedirect.com or other database. Just PM me. Carlos 
20140607, 18:24  #114 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
10010001110101_{2} Posts 
636417*2^35280+1 is a Factor of GF(35279,10)
477425*2^43389+1 is a Factor of GF(43386,10) 151059*2^51482+1 is a Factor of GF(51480,6) 99957*2^75859+1 is a Factor of GF(75858,5) 81935*2^78751+1 is a factor of GF(78749,10) 21379*2^121978+1 is a Factor of GF(121977,10) 26277*2^135854+1 is a Factor of GF(135852,8) Last fiddled with by Batalov on 20140611 at 16:27 
20140622, 17:20  #115 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2475_{16} Posts 
From mmffgfn v.0.28:
Code:
370291543969*2^182+1 is a Factor of GF(181,3) [TF:220:221:mmffgfn3 0.28 mfaktc_barrett224_F160_191gs] 407658847371*2^203+1 is a Factor of GF(199,5) [TF:241:242:mmffgfn5 0.28 mfaktc_barrett247_F192_223gs] 15961621533*2^210+1 is a Factor of GF(206,12) [TF:243:244:mmffgfn12 0.28 mfaktc_barrett247_F192_223gs] GF(192,6) has a factor: 1044500744273*2^193+1 [TF:232:233:mmffgfn6 0.28 mfaktc_barrett236_F192_223gs] Last fiddled with by Batalov on 20140624 at 02:49 
20141227, 01:09  #116 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2475_{16} Posts 
49797593*2^8561+1 is a Factor of GF(8560,6) (for T.Nohara)
119002603*2^6988+1 is a Factor of GF(6986,5) Last fiddled with by Batalov on 20141227 at 19:32 
20150128, 06:02  #117 
"Tapio Rajala"
Feb 2010
Finland
3^{2}·5·7 Posts 
No need to reserve a new range for the mmffgfn6:
Code:
ECM found a factor in curve #5, stage #2 Sigma=1258624528355029, B1=11000000, B2=1100000000. UID: ANONYMOUS, 6^8192+1 has a factor: 86958504245590708098930120015173020696577 (ECM curve 5, B1=11000000, B2=1100000000) I added the factor to factordb and emailed Keller. 
20150128, 06:35  #118 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
22165_{8} Posts 
Oooh, this is such a nice find. I've been knocking at this one for a while too, but hey,  hats off to you!
This is one of the very few that had not had known factors. The cofactor, sadly, is still composite. ;( 
20150314, 15:36  #119 
Sep 2013
Perth, Au.
2·7^{2} Posts 
New large prime found during March PRPNet challenge:
27*2^5213635+1 is a Factor of xGF(5213634,7,6) and xGF(5213603,0,8) http://primes.utm.edu/primes/page.php?id=119539 What does it mean when one of the bases is zero? The first xGF is interpreted as 7^(2^5213634)+6^(2^5213634) which could be meaningful, but the second one I see as 0^(2^5213603)+8^(2^5213603) which makes no sense at all. (That number has no odd divisors, being a power of two.) 
20150314, 20:51  #120  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
3^{2}·17·61 Posts 
Quote:
However it is more likely that whoever ran the program ran into a bug (or a hardware error), because such large nm difference are vanishingly rare: 5213635 >> 5213603. Someone has to rerun this with a1 (e.g. like "pfgw a1 gos8 num" and "pfgw a1 gos2 num"). EDIT: and so it does; it divides GF(5213633,8) Last fiddled with by Batalov on 20150315 at 02:09 

20150315, 11:38  #121 
Bamboozled!
"ð’‰ºð’ŒŒð’‡·ð’†·ð’€"
May 2003
Down not across
10596_{10} Posts 

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 