Aliquot sequences that start on the integer powers n^i - Page 52

RichD · 2020-09-12, 01:11

Going into the weekend update, my only reservations would be for n=20 and i=75 through 91 with only odd exponent.

garambois · 2020-09-13, 10:01

OK, page updated.
Thank you all for your contribution !
The speed of progress of the project is really phenomenal right now !

Base 50 added.
Base 98 added.
For base 72, I'm still waiting, hoping that the problem on factodb will be solved. If the problem is not solved, in a few weeks, I will add the base 72 up to i=52 by adding a note, as suggested by Edwin.

Thank you all to check again your information on the updated page, to see if there are no errors...

EdH · 2020-09-13, 12:19

All looks good from my viewpoint. I do see that I missed factoring index 1 for 98^72. That will be finished in a little while, so it'll be available for any data gathering, even though the table won't show it.

I think I have index 1 finished for 72^75 through 72^88, either entered into the db or within my earlier attachment. I plan to enter index 1 and beyond for all the finished of the corrupted sequences into the db. That way, when they are fixed the whole sequence will be available there.

I intend to factor index 1 for 18^120 through 18^129 next, so those will be available for study.

EdH · 2020-09-13, 13:45

Quote:

Originally Posted by EdH

All looks good from my viewpoint. I do see that I missed factoring index 1 for 98^72. That will be finished in a little while, so it'll be available for any data gathering, even though the table won't show it.

98^72 index 1 is now factored.

Quote:

Originally Posted by EdH

I think I have index 1 finished for 72^75 through 72^88, either entered into the db or within my earlier attachment. I plan to enter index 1 and beyond for all the finished of the corrupted sequences into the db. That way, when they are fixed the whole sequence will be available there.

All of the corrupted sequences have been updated in the db. Index 1 and beyond all appear to be correct.

Quote:

Originally Posted by EdH

I intend to factor index 1 for 18^120 through 18^129 next, so those will be available for study.

This is in work.

@Jean-Luc: Thanks for all the work keeping the tables up to date. I'm open for suggestions as to where you might like me to look after I get done with the current work. It may be a few days, but I'm not sure where my interest may wander after that.

garambois · 2020-09-13, 15:43

Edwin, thank you very much for your help !
We now have a lot of bases started.
I think the wisest thing to do is to try to green as many cells as possible. Especially sequences that end trivially. But as the calculations become more and more difficult, it may take months. After that, for my part, I will try to study the prime numbers that end the sequences. The goal will be to see if there is a link between the base and these prime numbers. I will let you know when I start this new analysis work.
In the meantime, I am finishing my calculations for bases 30, 50 and 9699690.

I may also devote some threads again to other ideas that have been put on hold for the benefit of this project's work. I have a lot of programs on hold, having only 12 threads on my CPU. I dream of a computer with 120 threads that would allow me to run all the programs I have written (work on cycles, on aliquot sequences with complex integer Gauss numbers, on the growth coefficients of successive terms of aliquot sequences, calculations of sequences of the main project, work on the lengths of the branches of the infinite graph of the aliquots sequences and many other ideas...). But I still have to wait 1 or 2 years, because a CPU with 120 threads has a certain price, as well as the amount of RAM needed and everything that goes with it !

Stargate38 · 2020-09-13, 23:56

Looks like the problem is far worse than we thought:

http://www.factordb.com/index.php?qu...e=200&format=1

If you keep hitting "Next Page > >", you'll see that it's happening to a lot of powers of 72.

warachwe · 2020-09-14, 09:44

Quote:

Originally Posted by Stargate38

Looks like the problem is far worse than we thought:

http://www.factordb.com/index.php?qu...e=200&format=1

If you keep hitting "Next Page > >", you'll see that it's happening to a lot of powers of 72.

The problem seem to affect only n that is divided by some prime bigger than 50. Somehow it change 72^n to 2^(6*n).

RichD · 2020-09-14, 12:47

I see my notes are in error. I will "color" the cell 770^33 later this week. Thank you for the detailed and nice table layout.

garambois · 2020-09-14, 19:07

@Stargate38 & warachwe :
I don't know what's going on ? I hope someone will be able to fix this problem ?
Fortunately, it doesn't seem that we have this problem for other bases !

@RichD : Thanks a lot !

yoyo · 2020-09-14, 20:03

I'll take bases 14, 15, 17, 18, 19 as usual until the remaining composite is > C139.

richs · 2020-09-14, 21:59

Quote:

Originally Posted by richs

Taking 439^38 at i52.

439^38 is now at i185 (added 133 iterations) and a C121 level with a 2^4 * 3^2 guide, so I will drop this reservation. The remaining C108 term is well ecm'ed and is ready for nfs.

Taking 439^20 at i2157.

2020-09-13, 12:19	#564
EdH "Ed Hall" Dec 2009 Adirondack Mtns 3817₁₀ Posts	All looks good from my viewpoint. I do see that I missed factoring index 1 for 98^72. That will be finished in a little while, so it'll be available for any data gathering, even though the table won't show it. I think I have index 1 finished for 72^75 through 72^88, either entered into the db or within my earlier attachment. I plan to enter index 1 and beyond for all the finished of the corrupted sequences into the db. That way, when they are fixed the whole sequence will be available there. I intend to factor index 1 for 18^120 through 18^129 next, so those will be available for study. Last fiddled with by EdH on 2020-09-13 at 13:46 Reason: i to I, just because I can.

2020-09-13, 23:56	#567
Stargate38 "Daniel Jackson" May 2011 14285714285714285714 3·13·17 Posts	Looks like the problem is far worse than we thought: http://www.factordb.com/index.php?qu...e=200&format=1 If you keep hitting "Next Page > >", you'll see that it's happening to a lot of powers of 72. Last fiddled with by Stargate38 on 2020-09-13 at 23:56 Reason: fix link

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2020-09-12, 01:11	#562
RichD Sep 2008 Kansas D30₁₆ Posts	Going into the weekend update, my only reservations would be for n=20 and i=75 through 91 with only odd exponent.

2020-09-13, 10:01	#563
garambois "Garambois Jean-Luc" Oct 2011 France 2⁷×5 Posts	OK, page updated. Thank you all for your contribution ! The speed of progress of the project is really phenomenal right now ! Base 50 added. Base 98 added. For base 72, I'm still waiting, hoping that the problem on factodb will be solved. If the problem is not solved, in a few weeks, I will add the base 72 up to i=52 by adding a note, as suggested by Edwin. Thank you all to check again your information on the updated page, to see if there are no errors...

2020-09-13, 15:43	#566
garambois "Garambois Jean-Luc" Oct 2011 France 280₁₆ Posts	Edwin, thank you very much for your help ! We now have a lot of bases started. I think the wisest thing to do is to try to green as many cells as possible. Especially sequences that end trivially. But as the calculations become more and more difficult, it may take months. After that, for my part, I will try to study the prime numbers that end the sequences. The goal will be to see if there is a link between the base and these prime numbers. I will let you know when I start this new analysis work. In the meantime, I am finishing my calculations for bases 30, 50 and 9699690. I may also devote some threads again to other ideas that have been put on hold for the benefit of this project's work. I have a lot of programs on hold, having only 12 threads on my CPU. I dream of a computer with 120 threads that would allow me to run all the programs I have written (work on cycles, on aliquot sequences with complex integer Gauss numbers, on the growth coefficients of successive terms of aliquot sequences, calculations of sequences of the main project, work on the lengths of the branches of the infinite graph of the aliquots sequences and many other ideas...). But I still have to wait 1 or 2 years, because a CPU with 120 threads has a certain price, as well as the amount of RAM needed and everything that goes with it !

2020-09-14, 12:47	#569
RichD Sep 2008 Kansas 110100110000₂ Posts	I see my notes are in error. I will "color" the cell 770^33 later this week. Thank you for the detailed and nice table layout.

2020-09-14, 19:07	#570
garambois "Garambois Jean-Luc" Oct 2011 France 1200₈ Posts	@Stargate38 & warachwe : I don't know what's going on ? I hope someone will be able to fix this problem ? Fortunately, it doesn't seem that we have this problem for other bases ! @RichD : Thanks a lot !

2020-09-14, 20:03	#571
yoyo Oct 2006 Berlin, Germany 617 Posts	I'll take bases 14, 15, 17, 18, 19 as usual until the remaining composite is > C139.