20200813, 13:39  #408 
Oct 2011
367 Posts 
All right, thank you very much.
Last fiddled with by garambois on 20200813 at 13:42 
20200813, 16:37  #409 
"Ed Hall"
Dec 2009
Adirondack Mtns
5×13×53 Posts 
@JeanLuc: I'm having difficulty with factordb for the higher orders of 2^i. It won't download the elfs, which is how my scripts currently retrieve the composites to run. I think I've reached the digit level that I'll have to consider my upper bounds for now, anyway. I have done a few of the requested sequences, but not very far. Sorry about that!
What I have done includes i=560, 576, 600, 612, 630 and 648. 
20200813, 17:22  #410 
Sep 2008
Kansas
6143_{8} Posts 
You may have exceeded one of the hourly limits for your userid and/or IP address.

20200813, 18:35  #411 
Oct 2011
367 Posts 
Thanks a lot, Ed. It's huge already ! I couldn't have done this job ! All your calculations corroborate my conjectures, except for the calculation of the sequence that starts with 2^630 : it invalidates one of my conjectures !!! I'll present my observations very soon... 
20200813, 19:22  #412  
"Ed Hall"
Dec 2009
Adirondack Mtns
5·13·53 Posts 
Quote:
http://www.factordb.com/sequences.ph...20&fr=0&to=100 Then look at 2^684: http://www.factordb.com/sequences.ph...20&fr=0&to=100 2^600 has the two graph links and the "Download .elf file" link which downloads the .elf file, appropriately. They are centered on the line. 2^684 is missing the two graph links and the "Download .elf file" link is over on the left. Clicking acts like it's downloading, but no file shows up. wget acts the same: 2^600 d/ls fine, 2^684 is empty. I'd be interested in how it performs for you. 

20200813, 19:24  #413  
"Ed Hall"
Dec 2009
Adirondack Mtns
5×13×53 Posts 
Quote:
Looking forward to the report(s). . . 

20200813, 19:52  #414 
Sep 2008
Kansas
C63_{16} Posts 

20200814, 11:07  #415 
"Ed Hall"
Dec 2009
Adirondack Mtns
5·13·53 Posts 
Thanks RichD. If I do any more, I'll just have to manually work them. But, as I mentioned, I'm probably nearing my boundary. If ECM doesn't factor them at least into the 16x area, I'm not inclined to run GNFS at that level right now.

20200814, 11:12  #416  
Oct 2011
367 Posts 
Quote:
Because if we take, for example, a=10, n=4 and i=3, we have : s(10^(4*3)) = s(10^12) = 1499694822171 and 10^3+1 = 1001 And 1001 do not divide 1499694822171. 

20200814, 19:39  #417 
Oct 2006
Berlin, Germany
1117_{8} Posts 
I run some of the 3^i for i<=96. You should update them from time2time. No need to reserve them for me.
Last fiddled with by yoyo on 20200814 at 19:46 
20200815, 02:10  #418 
"Ed Hall"
Dec 2009
Adirondack Mtns
5×13×53 Posts 
I was just tossing out a couple things that seemed of interest. I can't do more for a few days. If it's not valid, that's fine. I'll look at it more in a few days.

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