20210806, 22:26  #1299  
"Alexander"
Nov 2008
The Alamo City
2^{5}·5^{2} Posts 
Quote:
Quote:


20210807, 08:40  #1300  
"Garambois JeanLuc"
Oct 2011
France
325_{16} Posts 
Quote:
I will add all these bases in my list to scan monday. Quote:
But when I had extended the base (added more exponents), I did not feel entitled to reserve these new sequences for you without your request. So the base 210 is "officially" reserved for you until exponent 52. But I understand your request, and in the next update, I will extend your reservation to exponent 59, i.e. I will add all the orange cells to your reservation. Note : We find this same phenomenon of "partially reserved base" following an extension of the number of exponents for many other bases. For example, the bases : 13 (VBC), 24 (HPP), 28 (LRV), ... There are others and even some of mine, like the base 6469693230 which is reserved for me only up to exponent 14. I don't have the computing power to go beyond that ! I am currently calculating the sequence 6469693230^14 and other bases that are disproportionately large for me, such as 223092870^15 (I am at index 15 and an NFS decomposition is underway on my computer for a C144 since July 21 !) 

20210807, 12:29  #1301  
Oct 2002
France
3·5·11 Posts 
Quote:
Code:
#include <stdio.h> 

20210807, 12:40  #1302 
Oct 2002
France
3×5×11 Posts 
New version that compile on my unix
I need to force c++11 I also replace sscanf_s by sscanf Code:
g++ Alimerge.cpp std=c++11 o Alimerge Last fiddled with by Aillas on 20210807 at 12:41 
20210807, 13:36  #1303  
"Ed Hall"
Dec 2009
Adirondack Mtns
4502_{10} Posts 
Quote:
Code:
$ g++ Alimerge.cpp o Alimerge Code:
The 80 digit file was not found  download it? (y/n): y sh: 1: curl q s o OE_3000000_C80.txt http://www.aliquotes.com/OE_3000000_C80.txt: not found Trouble has occurred while trying to read the 80 digit file! Code:
$ ./Alimerge 45 10 30 Running base 45 from 10 through 30 . . . Downloading base 45^10 : Done Found the last 80 digit composite in base 45: [72709411053662444980210157745602152977060291142818210791593789587027512665674740] 80 digit composite has a matching in base 427600 Downloading base 427600 : Done 45^10:i1319 merges with 427600:i0 Downloading base 45^11 : Done Could not find a 80 digit composite in base 45 Code:
$ ./alimerge3 45 1 30 Running base 45 from 1 through 30 . . . 45^10:i1319 merges with 427600:i0 45^14:i213 merges with 260502:i60 45^24:i448 merges with 39852:i5 Run took 104 seconds. 

20210807, 14:19  #1304  
Oct 2002
France
3·5·11 Posts 
Quote:
All the issues are fixed now.  Fix the URL to Download of the OE_3000000_C80.txt  If an C80 was not found for an exponent, the application was stopped.  Remove output. It was too verbose when checking multiple exponents. I tested with your example: Code:
./Alimerge 45 1 30 Running base 45 from 1 through 30 . . . 45^10:i1319 merges with 427600:i0 45^14:i213 merges with 260502:i60 45^24:i448 merges with 39852:i5 Total running time : 1 Minutes : 39 Seconds : 174 Milliseconds (99 seconds.) Downloading file time: 1 Minutes : 38 Seconds : 770 Milliseconds Computation only time: 403 Milliseconds 

20210807, 15:37  #1305  
"Ed Hall"
Dec 2009
Adirondack Mtns
2×2,251 Posts 
Quote:
All seems to work well now, although "computation only time" is affected by downloading the txt file: Code:
$ ./Alimerge 45 10 30 The 80 digit file was not found  download it? (y/n): y Running base 45 from 10 through 30 . . . 45^10:i1319 merges with 427600:i0 45^14:i213 merges with 260502:i60 45^24:i448 merges with 39852:i5 Total running time : 1 Minutes : 42 Seconds : 232 Milliseconds (102 seconds.) Downloading file time: 1 Minutes : 43 Seconds : 948 Milliseconds Computation only time: 1 Seconds : 715 Milliseconds Thanks for all your help. 

20210807, 15:46  #1306 
"Garambois JeanLuc"
Oct 2011
France
1445_{8} Posts 
OK, thank you very much !
I manage to compile and everything seems to work fine now ! When I add new bases to the project, I use this program (Edwin's version so far) : I save a lot of time this way, because if I had to search for the merges manually, it would be very very long ! Code:
./Alimerge 12 1 150 Running base 12 from 1 through 150 . . . 12^15:i294 merges with 3366:i2 12^19:i120 merges with 23324:i10 12^29:i790 merges with 1778224:i0 12^35:i380 merges with 3876:i5 12^43:i488 merges with 2484:i8 12^47:i1301 merges with 1374120:i189 Total running time : 7 Minutes : 20 Seconds : 510 Milliseconds (440 seconds.) Downloading file time: 7 Minutes : 20 Seconds : 33 Milliseconds Computation only time: 477 Milliseconds 
20210808, 10:31  #1307 
"Garambois JeanLuc"
Oct 2011
France
5×7×23 Posts 
I continued to complete the page that summarizes all the conjectures stated through this project.
1) I added all the demonstrations for the "trivial" conjectures that were missing (presence of a prime number at index 1 for some exponents for bases that are prime numbers). 2) I corrected some errors. 3) I corrected the statement of the conjecture (79) : base 7 instead of 5. 4) I invalidated the conjecture (81) in contradiction with the conjecture (82), which is maintained. It must have been an error of formulation. 5) The conjectures (130)* and (132)* were classified as two stars instead of one, this was an error. Note that from conjecture (134) onwards, we no longer used this classification with stars, which was supposed to give an idea of the difficulty to prove them. 6) The conjectures (82), (103) and (116) were really very "obvious". Can you just tell me if this formulation (in red) is correct in English language, please : s(7k) = 1 + 7^{1} + 7^{2} + ... + 7^{k1} = 1 modulo 7. Please let me know if you find an error in the proofs. Last fiddled with by garambois on 20210808 at 11:12 Reason: Addition of item 6) 
20210808, 10:56  #1308 
"Alexander"
Nov 2008
The Alamo City
320_{16} Posts 
Initialization on base 564 is done. I also did the trivial sequences under 70 digits (and a couple past) for all of the remaining threedigit bases on https://oeis.org/A131884. One termination at 6 and a few at 3 were found, but it was mostly large primes.
210^52 and 210^54 also have been terminated with primes. Edit: Conjecture (82) has a rather trivial proof: s(7^k) = (7^k1)/6, and since 7^k1 can never be divisible by 7 (being one less than a power of 7), neither can (7^k1)/6. Similar proofs apply for the other prime bases. Last fiddled with by Happy5214 on 20210808 at 11:07 Reason: Add proof for conjecture 
20210808, 11:19  #1309  
"Garambois JeanLuc"
Oct 2011
France
5×7×23 Posts 
Quote:
Yes, we wrote our posts at the same time, I added point 6) in my post #1307 ! Can you just tell me if the word "modulo" is correct please and if the proofs of conjectures 82, 103 and 116 are written in an acceptable way ? 

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