20181107, 10:51  #1 
"Nuri, the dragon :P"
Jul 2016
Good old Germany
863 Posts 
Progress of n^41+/1
I noticed that all number of the form n^411 with n<6600 are fully factored. The smallest n been unfactored is n=6697 with an C128 cofactor.
I also noticed, that n^41+1 is much less factored, Between n=1000 and n=1500 are all numbers FF. Going up to n=2000. I´ll at least pretest these numbers and list them here Last fiddled with by MisterBitcoin on 20181108 at 21:25 Reason: Updated progress 
20181107, 11:33  #2  
Jun 2003
3^{4}·67 Posts 
Quote:


20181107, 13:25  #3  
"Nuri, the dragon :P"
Jul 2016
Good old Germany
863 Posts 
Quote:
All of my resources for factoring are used for FDB (90 dd up to 99 dd). When I´m done with that range I´m able to switch to something else. For now I´m just pretesting with one core. That takes ~4 hours/canidate (at C125). 

20181107, 13:33  #4 
Jun 2003
3^{4}×67 Posts 

20181107, 13:48  #5  
"Nuri, the dragon :P"
Jul 2016
Good old Germany
863 Posts 
Quote:
ECM pretest takes ~4 hours. The C122 took 50 minutes to complete, with 1 core. :) Last fiddled with by MisterBitcoin on 20181107 at 14:41 

20181107, 16:53  #6 
"Curtis"
Feb 2005
Riverside, CA
7×13×61 Posts 

20181107, 18:29  #7  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
10011100000011_{2} Posts 
Quote:
Also, with a snfs polynomial this jobs will take a couple minutes, not 50! Are you factoring them as gnfs? 

20181107, 19:22  #8  
"Nuri, the dragon :P"
Jul 2016
Good old Germany
863 Posts 
Quote:
As I said I was only using 1 thread. The latest number (C123) took ~13 Minutes to finish using 6 threads. Log attached. I´m using factmsieve.pl und the poly from factordb (These are not perfect, but they work ). I used a pretest level of t38, looks like its a bit to much. 

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