20210821, 08:13  #1332 
"Garambois JeanLuc"
Oct 2011
France
7×97 Posts 

20210821, 08:53  #1333 
"Garambois JeanLuc"
Oct 2011
France
7×97 Posts 
@bur and VBCurtis :
Thank you very much for your positive messages. I think you are right and that we should see the project as you say. All our calculations for this project will be at least as useful as others anyway, given the important role that integer powers play in number theory. And I've said it all along : I didn't know if the data analyses would yield interesting results. I was not intending to stop the project, but as you say, rather to take a break from data analysis. If there is a general law to observe, it must be much more complicated than I could have imagined. And if any of us were to find this law by observing the tables attached in my post #1328, then, we would be taking a giant step forward in the knowledge of aliquot sequences. But maybe this law does not exist. Or maybe we are missing some data. But what we are missing is rather larger exponents for each basis, that is my hunch. And we all know that it is impossible to increase the number of exponents for the bases. But it is likely that in the future I will have to look at the data forgetting the original reason for creating the project. There must be a lot of other interesting things to discover (or not !). So let's get on with our calculations, all those who like it. And when our intuition tells us it's time, maybe we'll look at the data again and notice some interesting things because of those calculations ! 
20210821, 09:08  #1334 
"Alexander"
Nov 2008
The Alamo City
3·11·23 Posts 
I'm flattered, but 276^70 should be marked Anonymous. I didn't even explore above i=60 for any of the Lehmer five bases. It was probably your pagegenerating script that finished it off.
I've never been in this project for the conjectures, to be honest (other than fixing up your webpage). For me, it's all about the sequences being easier to work on than the main project, and filling in gaps to make the tables more complete. Keep shooting for the stars! We never know we'll find. 
20210821, 12:07  #1335 
Sep 2008
Kansas
2^{3}·431 Posts 
Terminates:
54^70 54^72 55^73 
20210822, 16:06  #1336  
"Garambois JeanLuc"
Oct 2011
France
7×97 Posts 
Quote:
Next update I'll put this sequence as calculated by an anonymous person. You can trust me for that ! OK thanks. This will be taken into account in the next update. 

20210824, 11:12  #1337 
Sep 2008
Kansas
110101111000_{2} Posts 
Terminates:
52^76 54^74 54^76 55^75 This concludes my work on these tables. I'll start on bases 56, 57,59 and 60. 
20210827, 09:37  #1338 
May 2009
Russia, Moscow
101001100000_{2} Posts 
79^89 terminates!
BTW, I'm working on base 79 (odd n) up to 101. 
20210829, 09:31  #1339  
"Garambois JeanLuc"
Oct 2011
France
7×97 Posts 
OK, I'm back from a few days of vacation.
Quote:
The finished sequences will be taken into account in the next update. For the initializations of the new bases, excellent ! Let me know when I should add them to our page. Quote:
Reservations will be noted in the next update. You want to do the calculations for the odd exponents up to 99, right (and not 101 which is not on the page ?) ? 

20210829, 14:58  #1340 
May 2009
Russia, Moscow
5140_{8} Posts 

20210829, 15:44  #1341 
"Garambois JeanLuc"
Oct 2011
France
7×97 Posts 
WOW, OK, so good luck, because the calculations will be very long, a record for the project !
Several sequences exceed 170 digits ! 79^93 and 79^99 will be formidable, as the terms have the factor 3. 
20210831, 22:25  #1342 
Sep 2008
Kansas
2^{3}×431 Posts 
Base 56 can be added at the next update.

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