20170130, 14:13  #1 
Banned
"Luigi"
Aug 2002
Team Italia
2·11·13·17 Posts 
gfn results
119252085*2^6162+1 is a Factor of GF(6160,10)!!!!
168888633*2^6189+1 is a Factor of xGF(6188,11,2)!!!! (from Frederik Hermanns  N=61506200  K: 100,000,000  200,000,000 Last fiddled with by ET_ on 20170130 at 14:54 
20170220, 12:02  #2 
Banned
"Luigi"
Aug 2002
Team Italia
2×11×13×17 Posts 
gfn range completed
N from 14,000 to 14,500 and k from 20,000,000 to 30,000,000 completed with pfgw and the switch gx
Here are the extended factors: 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)!!!! 
20170221, 09:04  #3 
"Adolf"
Nov 2013
South Africa
2×3×11 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 
20180102, 18:39  #4 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{3}·3·5^{2}·17 Posts 
120769*2^72390+1 is a Factor of GF(72389,3)
(plus some xGFs) The bigger boat gets more fish, but still no tuna this year... 
20180603, 02:23  #5 
"Mark"
Apr 2003
Between here and the
3×19×127 Posts 
Finished n=1000010999 for k=269e6300e6:
289602611*2^10879+1 is a Factor of GF(10876,10)!!!! 
20190419, 08:48  #6 
Banned
"Luigi"
Aug 2002
Team Italia
2·11·13·17 Posts 
A new Generalized Fermat has been found
2788032^{524288} + 1 While not the largest Generalized Fermat it is the largest prime for 2019 with 3'379,193 digits. Congratulations to user "Sheep" Last fiddled with by ET_ on 20190602 at 18:08 
20190601, 09:02  #7 
Banned
"Luigi"
Aug 2002
Team Italia
2×11×13×17 Posts 
I completed the following GFNxGF range :
5600 <= N <= 5699  1,200,000,000 < K < 2,500,000,000 and found the following factors: 2491340445*2^5654+1 is a Factor of xGF(5652,11,10)!!!! 1755293137*2^5672+1 is a Factor of xGF(5671,8,3)!!!! 2004304135*2^5672+1 is a Factor of xGF(5671,7,2)!!!! 1982981535*2^5675+1 is a Factor of xGF(5674,8,7)!!!! 
20190602, 01:49  #8  
Feb 2017
Nowhere
2×3^{2}×5×71 Posts 
Quote:
Thank you for the correction, the factor should look right now Luigi Last fiddled with by ET_ on 20190602 at 09:24 Reason: Corrected a tyop on teh factro 

20190602, 12:09  #9  
Feb 2017
Nowhere
2·3^{2}·5·71 Posts 
Quote:
I make so many typos, I have a Black Belt of transfinite degree 

20210210, 13:46  #10 
"Gary Gostin"
Aug 2015
Texas, USA
7·11 Posts 
Proth prime GFN divisibilities
Here are a couple of GFN divisibilities for a new large Proth prime reported on PrimesPages. Reporting here because I don't have the ability to post user comments on PrimesPages, likely because I have not yet submitted a new prime.
27 * 2^12184319 + 1 divides GF(12184313,8) 27 * 2^12184319 + 1 divides xGF(12184318,10,9) 
20210210, 18:03  #11  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{3}·3·5^{2}·17 Posts 
Quote:
Generally it is with &comment=1 added to the URL, by hand. You can email to C.C. 

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