20210301, 13:28  #903 
"Ed Hall"
Dec 2009
Adirondack Mtns
2^{3}×461 Posts 

20210301, 13:46  #904  
"Ed Hall"
Dec 2009
Adirondack Mtns
2^{3}·461 Posts 
Quote:
BTW, 6^188 is at index 2. 

20210301, 15:50  #905  
"Garambois JeanLuc"
Oct 2011
France
3·5·37 Posts 
Quote:
Unfortunately, I only saw 15^35 and the 5 sequences of the base 1155 in your results after writing post #901. And precisely : everything is there. 15 = 3 * 5 and 1155 = 3 * 5 * 7 * 11 These are primorials without the factor 2. And there is growth from index 1 only for these two odd bases of our project and no other odd base. This is why for a week now, I have been calculating the sequences with odd exponents for the bases 105 = 3 * 5 * 7 and 15015 = 3 * 5 * 7 * 11 * 13. Indeed, I immediately noticed that 105^11, 105^23, 15015^11 and 15015^23 produced the same phenomenon, just like 1155^11 and 1155^23. And I also asked on this forum on the post #870 that the bases 45, 75 and 231 be calculated, to have odd numbers of a different type than all those which already appeared in our base, to see if the phenomenon was also going to happen with them or not. But tomorrow I'll write it all clean ! Edit : Thanks for 6^188 ! Last fiddled with by garambois on 20210301 at 15:52 Reason: Thanks for 6^188 

20210301, 16:17  #906 
"Ed Hall"
Dec 2009
Adirondack Mtns
2^{3}·461 Posts 
I had not included 45, 75 or 231 in my run. Only 231^17 is found by my program, but I don't know how many of the rest are not yet at index 2.
I look forward to tomorrow, although I will be tied up most of the day and may not be free enough to study what you provide until Wednesday. 
20210301, 16:36  #907 
"Garambois JeanLuc"
Oct 2011
France
1053_{8} Posts 
Following the public dialogue between Happy5214 and I about the presentation of the page, Karsten Bonath and I then discussed the page at length. The page did not stop evolving for several days. Karsten had several ideas, I had several requests, and we also included the idea of Happy5214's table modified for convenience. The approach was as follows : We have for principle that in order to be able to observe phenomena in our project, in order to be able to notice and state conjectures, we must be able to visualize the data in all possible ways. We wanted this page to permit to do a lot of things : classify in different ways, sort, view by categories, see statistics, see sequence counters ... And so, we want to present you with a test page. It is under construction, but you can already make comments (positive or negative), suggestions, ask questions ... To access this experimental page : go to the usual page (here) and click on the "Experimental version of the page" link. 
20210301, 17:15  #908  
"Garambois JeanLuc"
Oct 2011
France
3·5·37 Posts 
Quote:
I didn't know for 231^17 yet before reading your post ! So I had a good intuition when I asked that the base 231 be calculated ! This proves that it is not only the primorials without the factor 2 which can have this phenomenon. One of my questions has already been answered now ! But I suspect that all odd bases will have this phenomenon if we take large enough exponents ! I hope you won't be disappointed tomorrow, because in the last 24 hours you have already seen most of my work over the past three weeks. I think my post tomorrow will be more of a summary of work that will ask questions. Also, it will be up to each of you to look at the data to try to find something in it. But also maybe tomorrow, when I look at all of the new data, I'll see some other stuff. Because this work has given a different direction to the calculations for the last 15 days. Calculations were made to see things like this and confirm or deny things that I had noticed. Also, don't forget Edwin that this idea came to me months later when I looked again at a painting you posted last summer ! But anyway, it's going to be very difficult to make further progress in this area. We should calculate a lot more bases, and a lot more difficult, we should complete the green columns of all the bases. No one has the computing power to do this in a reasonable amount of time. 

20210301, 17:34  #909  
Mar 2006
Germany
43×67 Posts 
Quote:


20210301, 19:42  #910 
"Ed Hall"
Dec 2009
Adirondack Mtns
7150_{8} Posts 
I don't think you'll disappoint. There will be inspiration to find ways to harvest new data. And, I agree with something else you said recently. It is great when we find the same results using entirely different methods.

20210301, 23:48  #911 
Sep 2008
Kansas
6363_{8} Posts 
Initializing base 38.

20210302, 04:23  #912  
"Alexander"
Nov 2008
The Alamo City
2·7·41 Posts 
Quote:
I know that looks like a lot, but as I said, the design looks great. 

20210302, 13:17  #913 
"Garambois JeanLuc"
Oct 2011
France
22B_{16} Posts 

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