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-   -   Aliquot sequences that start on the integer powers n^i (https://www.mersenneforum.org/showthread.php?t=23612)

 garambois 2019-05-11 19:50

Here are 3 new informations :

1) OK, page updated.
Thank you to all.

2) My own calculations :
All calculations are completed for base 3 except for 3^108 due to the reported and still uncorrected FactorDB error ([URL="https://www.mersenneforum.org/showthread.php?t=19737&page=3"]https://www.mersenneforum.org/showthread.php?t=19737&page=3[/URL] post #25).
I now reserve and calculate the aliquot sequences of base 5.

3)Excuse me, but a few weeks ago, I realized that I told some big nonsense in post #188 on this page in example 1).
If I store only the last C30 of the known S sequence on FactorDB, that is enough.
If the sequence S_1 meets S at index 190, then FactorDB will suddenly give me all the terms of S_1 until the last known term of the already known on FactorDB aliquot sequence S.
Then I just have to consider the last C30 of S_1 to identify the already known fusion sequence S.
It seemed reasonable to me to store all the latest C80s (rather than C_30s) of all known Open-End aliquots sequences up to 3,000,000.
You can find this work here :

 garambois 2019-06-02 09:50

OK, page updated.
Thank you to all.

My own calculations :
The calculations for base 5 will be completed in a few weeks.

 garambois 2019-07-06 08:19

Page updated.
Thank you to all for your help !

[U]My own calculations :[/U]

1) All aliquot sequences in base 5 have been calculated up to 120 digits.

2) I now reserve base 7.

3) I also hope to complete all calculations from base 2 up to 2^500 during the summer. But the calculations are very long ! Soon there will only be green cells in the table of base 2 !
I was hoping to find the "rare beast" : a power of 2 that would have been Open-End ! It may be for a few years from now, when I will extend the calculations to 2^600....

 Happy5214 2019-08-06 20:06

I have finished 21^i up to i=30 and am releasing up to that point. I'll continue from i=32 (i=31 terminates) after I clear some of my <3M backlog.

 garambois 2019-08-07 08:06

All right, thank you.
I'll finish base 2 in a week or two and then I'll update the web page.

:smile:

 VBCurtis 2019-08-07 10:47

I haven't posted any work in a while, as I dedicated all my sieving cores to the Cunningham 2330L factorization. I'll be back to working powers of 13 once that sieve finishes around 1 Sept.

I'm also working on improved sieve parameters for C150-C160 range in CADO, so I expect to take each sequence to 160ish digits before moving on to another power of 13.

 garambois 2019-08-07 17:32

[QUOTE=VBCurtis;523274]I haven't posted any work in a while, as I dedicated all my sieving cores to the Cunningham 2330L factorization. I'll be back to working powers of 13 once that sieve finishes around 1 Sept.

I'm also working on improved sieve parameters for C150-C160 range in CADO, so I expect to take each sequence to 160ish digits before moving on to another power of 13.[/QUOTE]

Should I reserve powers of 13 for you ?

 VBCurtis 2019-08-07 22:17

I am not the most attentive searcher, so I'll stick to running 2-3 sequences at a time; no need to reserve a bunch for me.

 garambois 2019-08-08 07:06

 garambois 2019-08-14 11:05

Page updated.
Thank you to all for your help !

My own calculations :
All aliquot sequences in base 2 have been calculated.
All base 2 cells are green !

 richs 2019-08-26 01:00

439^6 and 439^8 raised to 120 digits.

 garambois 2019-09-01 10:55

[QUOTE=richs;524539]439^6 and 439^8 raised to 120 digits.[/QUOTE]

Thanks to richs, thanks to all.
Page updated.

My own calculations :
Some aliquot sequences in base 7 at 120 digits or more.
Non-trivial termination : 7^64.

 VBCurtis 2019-09-26 21:57

I'm back to working on these sequences. Update 13^18.
Seems I forgot I unreserved that one, oopsie! Please re-reserve it.
I'm working on CADO parameter development up to 155 digits, so I think I'll be running these sequences to 160 or so.

 garambois 2019-09-28 13:36

Thanks to VBCurtis.
160 digits, that's enormous !

:smile:

Page updated.

Thanks to all.

Thanks to LaurV too.
I noticed that now, all the cells were blue, green or orange for base 28 !

:smile:

My own calculations :
Some aliquot sequences in base 7 at 120 digits or more.

 LaurV 2019-10-01 10:03

[QUOTE=garambois;526807]Thanks to LaurV too.
I noticed that now, all the cells were blue, green or orange for base 28 ![/QUOTE]
Still working on them, they are not done, from my point of view, I will let you know when.

 garambois 2019-10-01 22:37

OK, LaurV, all right !
Perfect !

 PFPoitras 2019-10-16 00:31

Hello everyone. I'm new to the forum, but I've been working on some powers of integers, for integers that are fairly big.

I'm doing powers of 385 (5*7*11) and 1155 (3*5*7*11), for i=1..50, I've got all of them to 90 digits or more, and am uploading them to factordb right now. I am progressively ramping up the maximum number of digits until I have them all to 100. Note that some of the powers are themselves larger than 100. I have not decided the course of action on those.

How do I provide the data for everyone to peruse? I figure it can be grabbed from factordb, but for merges and stuff, how do I find which sequence it merged into?

 LaurV 2019-10-17 05:48

Welcome to the fray.

Jean Luc may add 385 to the page linked in the first post of this thread. It should be the easiest way. Then anybody can follow your progress if he/she wants, and eventually spot mergers. If you work in the 90-100 digits, than a good indicator is the fact that your sequence magically jumps to over 100 or 120 digits. That means it merged with something else, and the most of "interesting" stuff is worked to 120 digits or so. Also, to have at least "some" probability to merge, your sequence needs to drop to low digit values (there are less small numbers than big numbers, at big numbers the probability to merge decreases to null).

 PFPoitras 2019-10-17 14:20

[QUOTE=LaurV;528201]Welcome to the fray.

Jean Luc may add 385 to the page linked in the first post of this thread. It should be the easiest way. Then anybody can follow your progress if he/she wants, and eventually spot mergers. If you work in the 90-100 digits, than a good indicator is the fact that your sequence magically jumps to over 100 or 120 digits. That means it merged with something else, and the most of "interesting" stuff is worked to 120 digits or so. Also, to have at least "some" probability to merge, your sequence needs to drop to low digit values (there are less small numbers than big numbers, at big numbers the probability to merge decreases to null).[/QUOTE]

Yeah I've already seen 385^4 jump to 143 digits on factordb,and 385^6 has 174, so they both merge somewhere upstream.

I've started working on a separate method for detecting mergers and keeping track of them across a compressed version of the factordb database. I think that might be useful for higher sequences, or if there aren't many merges up that high, it will at least make some nice graphs.

 garambois 2019-10-17 16:46

PFPoitras, I will indeed update the page in a few days and add bases 385 and 1155 for i from 1 to 50, as you ask.
I suppose you want to book these two bases?

To detect mergers, see here :

For example, on factordb, you enter 385^4 and you copy the last term of the sequence which has 80 digits.
It is 8276642735222359406410880925543291758092860223240575684888888809629485391239674704.

And on this page, you use the "search" function and paste this 80-digit number.
You immediately find that 385^4 merges with the sequence 903872.
You still have to find out which index the merging is at and report it to me !
That's the sportiest part !
We find that the merging takes place at index 403 for the sequence 385^4 and at index 5 for the sequence 903872.
This is noted as follows :
385^4:i403=903872:i5.

I'll let you do the exercise again with 385^6 !

;-)

 PFPoitras 2019-10-18 16:09

I've been working on the 385 and 1155 sequences for a bit now, so I can reserve the exponents up to N^50 for the time being and will likely release a bunch of them soon. I have increased the number of digits for most of them to about 105-110, and am pushing them to 120.

As for the merges:

385^6:i244 = 3876:i5

1155^4:i36 = 1290378:i273

1155^6:i113 = 25968:i11

(Can someone double check that I got this right)

 garambois 2019-10-20 14:47

OK, page updated.
Thanks to all !

PFP, thanks to you for your help !

:smile:

I think you made a mistake.
I found this 1155^6:i112 = 25968:i10 and not 1155^6:i113 = 25968:i11

:tu:

Do you confirm this ?

 PFPoitras 2019-10-22 23:07

Yes, you're correct for the correction.

I worked on the 385 sequence, mostly on getting the 385 series' odd exponents to terminate. 385^31, 385^33, 385^41, 385^43 all terminate in primes.

I have moved the 1155 sequence up a bit, but have yet to submit all the numbers, as I only have access to it during weekends.

 garambois 2019-11-24 18:15

Thanks to all.
Page updated.

My own calculations :
Some aliquot sequences in base 7 at 120 digits or more.

 garambois 2019-11-29 18:49

I have read information on this forum about a possible loss of factordb data.
It seems to me that most of the aliquot sequences starting on integer powers that we have calculated so far have been lost !
For example factordb no longer responds for 7^102 and many other integer powers.
I hope there is a recent copy of the database somewhere !
Otherwise, years of calculation would be lost...

:cry:

 garambois 2019-12-04 09:14

Many thanks to Syd and his possible collaborators for the data recovery on factordb.
I find all our aliquot sequences with all the calculations we had done.

:smile:

:tu:

I'll wait another 2 or 3 weeks before updating, so as not to overload factordb.

 garambois 2020-01-05 12:09

Happy New Year 2^2 * 5 * 101 !

Thanks to all for your calculations.
Page updated.

My own calculations :
Base 7 almost complete.
I've started the calculations for base 10.

[U]Questions for the participants, in order to update the bookings for the year 2020 :[/U]

@Happy5214 : Do you still want to book base 21 ?
@firejuggler : Do you still want to book base 82589933 ?
@LaurV : Do you still want to extend the calculations for base 28 ?
@Karsten Bonath : Do you still want to do calculations for base 11 ? Should I reserve it for you or can I reserve this base for myself ?

 firejuggler 2020-01-05 16:21

not anymore, sorry.

 kar_bon 2020-01-06 10:48

No, no more calcs by now for base 11 on my side.

 Happy5214 2020-01-07 13:27

[QUOTE=garambois;534276]Happy New Year 2^2 * 5 * 101 !

Thanks to all for your calculations.
Page updated.

My own calculations :
Base 7 almost complete.
I've started the calculations for base 10.

[U]Questions for the participants, in order to update the bookings for the year 2020 :[/U]

@Happy5214 : Do you still want to book base 21 ?
@firejuggler : Do you still want to book base 82589933 ?
@LaurV : Do you still want to extend the calculations for base 28 ?
@Karsten Bonath : Do you still want to do calculations for base 11 ? Should I reserve it for you or can I reserve this base for myself ?[/QUOTE]

I almost missed this. The stuck topics in this forum fill my screen, so I accidentally marked this as read.

I have a few Riesel gap-filling sieves to run before I can get back to aliquot crunching. I'll continue with base 21, i=30 to 40 once those are done (probably in February or March).

 VBCurtis 2020-01-10 22:32

I got my wget problem fixed (thanks to EdH who told me to upgrade away from ubuntu 16.04), so 13^20 is now updated with ~250 new terms.

I am starting work on 13^24 also, please reserve it for me.

 Happy5214 2020-01-11 04:35

By the way, if anyone wants to work on n=21 for i<30, I'm fine with that. I lack the patience to factor 120+-digit numbers on my 10-year-old hardware unless the guide/driver is promising.

 garambois 2020-01-12 17:52

Page updated.

Thank you for checking that the reservations are in accordance with what you have requested.

For my part, the calculations for base 7 are about to be completed.
The calculations for base 10 are in progress.
I am also reserving base 11 for myself.

Thanks to all for your calculations.

 fivemack 2020-01-12 20:21

I've done some more lines on 23^8

 garambois 2020-01-13 17:32

[QUOTE=fivemack;534979]I've done some more lines on 23^8[/QUOTE]

Fivemack, downdriver for 23^8 at index 3261 !

Do you want me to create base 23 ?
Do you want to reserve base 23, or part of base 23 ?

 VBCurtis 2020-01-21 23:00

13^24 wasn't interesting; I added 35 digits without the 2^4 * 31 driver flinching. I'm finished with it.

Taking 13^26 and 13^28.

 garambois 2020-01-26 14:32

OK, thanks to all.
Page updated.

@VBCurtis : OK, done, Thanks !

My own calculations :
Base 7 complete.
Base 10 in progress.

 Happy5214 2020-03-10 01:24

After a few downdriver runs and other sequences that all proved unfruitful, I've finished n=21 to i=40 (all cofactors ≥ c120). I will release those and take the same n up to i=50.

 gd_barnes 2020-03-11 06:07

PFP seems to have lost interest in base 385 at a low search depth for > 4 months so I did some testing on many of the exponents.

All exponents with a driver or with a factor of 3 have been searched to >= 102 digits.

All exponents without a driver and without a factor of 3 have been searched to >= 105 digits.

385^40 terminated. :-)

385^26 is now at 120 digits.

To be consistent with most of the other bases that stop at the first exponent with a starting value >= 120 digits would it make sense to remove the exponents >= 48 ?

No reservation.

PFP also seems to have lost interest in base 1155. Would it make sense to remove his reservation on that one too? I might work on it at a later date but no reservation now.

 gd_barnes 2020-03-12 11:01

I have trivially terminated 385^47, 1155^35, 1155^37, and 1155^39.

You might consider releasing the reservation of all exponents for base 1155 due to long inactivity.

Also would it make since for base 1155 to delete all exponents >= 40 to be consistent with most other bases?

No reservation.

 garambois 2020-03-13 15:12

OK, page updated.
Thanks to all.

@Happy5214 : A lot of thanks. Done.

@gd_barnes : A lot of thanks. Done.
Base 385 : OK, I deleted exponent 50, but not exponents 47, 48 and 49, because calculations had been made for those exponents. Calculations of 385^49 (trivial end) not completed, do you want to do the calculations?
Base 1155 : OK, I deleted the exponents 42 to 50 because no calculation had been started for them. I didn't delete the lower exponents because calculations were made for them.

It really doesn't matter, on the contrary, if for some bases, the size of the starting numbers exceeds 120 digits... As long as someone's done the calculations, of course ! This is anyway the case for example for base 2 where I pushed well beyond 120 digits for the starting numbers.

[U]My own calculations :[/U]
Base 10 complete and exponents 95 and 107 non trivial termination of calculations.
Base 11 almost complete.
Base 12 and 82589933 reserved for me.

 VBCurtis 2020-03-13 15:34

I finally got my home desktop fixed, and am ready to do more work on this project.
I'll take the rest of base 13 up to 120 digits. Please mark 32,34,36 reserved for me; when I finish those I'll reserve 40-60.

 VBCurtis 2020-03-17 17:18

13^26, 13^28, 13^32 are released at 130+ digits each.
Working on 13^34 and 13^36 now. Planning to work pairs of sequences for a while.

 Uncwilly 2020-03-17 19:53

[QUOTE=VBCurtis;539625]I finally got my home desktop fixed, and am ready to do more work on this project.[/QUOTE]I am assuming that your work situation is different than normal at the moment. Are you even in at work?

 VBCurtis 2020-03-17 22:31

Courses at my university are online-only the rest of the school year. This week is finals- writing online finals has been a bit of a challenge, but they're written. Most University of CA campuses run on quarters rather than semesters, thus "finals" now for winter term.

The campus is physically closed- faculty are not even allowed to go in to their offices.

I hope they don't cut power to my office building, as I have 32 cores running projects there!

Next task, learning how to use remote-video-recording software so I can lecture from home.

 gd_barnes 2020-03-18 03:12

385^49 trivially terminates.

All of base 1155 has been completed to >= 102 digits.

No reservation.

 garambois 2020-03-18 12:05

OK, page updated.
A lot of thanks for your help !

:smile:

 PFPoitras 2020-03-18 23:04

Hey guys!

Just so we're all clear, I was running the integer powers on a computer at work that was being used as a heater more than as a computer. I have since moved to another company, and had planned to recover the data (among other things) before leaving, but my "two-weeks" period was cut short by a strict work-from-home directive from HQ, due to coronavirus.

Consider all my reserved sequences for this subproject to not be reserved anymore for the time being.

 garambois 2020-03-19 07:21

OK PFPoitras !
Thank you for your help !

:smile:

 richs 2020-03-26 14:07

I ran 439^22 up to 120 digits. No reservation.

 garambois 2020-03-28 08:04

Thank you richs !

I'm waiting for the end of the calculations for two recalcitrant aliquot sequences that will finish bases 11 and 82589933.
Then, in a few days or at most one or two weeks, I will update the page !

 gd_barnes 2020-03-28 10:21

I have completed base 17 up to exponent 97 to >= 90 digits.

All odd exponents are trivially terminated.

Even exponents terminated:
17^2
17^12
17^16
17^24
17^48
17^64
:smile:

Merges:
17^4 : 21 merges with 1632 : 37
17^6 : 1 merges with 967278 : 4

I may take this base up to >= 102 digits at some point in the future.

No reservation.

 LaurV 2020-03-28 11:34

I am recently arguing with 6^9, to which I put few hundred terms or so. It has no driver, and it is up-down-ing, hitting its head on the "resistance line" for a while now. :smile:

 garambois 2020-03-28 11:58

Thank you LaurV !

Thank you gd_barnes !
I will update and add base 17 very soon.
That will give you time to continue the calculations.
I have a suggestion for you : would you like to reserve base 17 completely and do the calculations up to 120 - 122 digits ?
You've already started bases 14 and 15. And the calculations are not finished yet.
Indeed, many bases have already been started and we are not many people to do the calculations up to 120 - 122 digits.
And what takes a lot of calculation time, sometimes months, is to go from 110 digits to 120 digits.
We all have a lot of fun starting a new base and carrying out the calculations of aliquot sequences that end trivially.
On the other hand, the part of the work that consists in carrying out all the calculations of the Open-End sequences up to more than 120 digits is more thankless.

:smile:

 VBCurtis 2020-03-31 01:54

 garambois 2020-03-31 09:17

Wonderful !
A non-trivial termination on a prime number !
Thanks a lot !

:tu:

I'll update the page next weekend or perhaps even before.
I think that by then, bases 11 and 82589933 will be finished...
All the aliquot sequences are already at 120 digits for these two bases, but I would like to go up to 122 digits, a little security !

The problem is that updating the page takes some time. I have to check everything carefully before publishing.
The reservations must be good, the merges must be right and moreover, there is a new base to add this time : base 17.
I don't want to do this work too hastily, at the risk of making a mistake.

 gd_barnes 2020-04-01 05:46

Continuing on my last post, base 17 has reached >= 102 digits for all exponents >= 97.

All exponents with no driver and no 3 are at >= 105 digits.

17^74 is at 120 digits. :-)

Sorry I don't have the resources to take all of these to 120 digits.

No reservations.

 garambois 2020-04-01 08:17

Thank you very much gd_barnes for your help !

In a few days, the update promises to unveil important progress for several bases !

:smile:

 garambois 2020-04-04 11:17

OK page updated.

The update was more important than other times :
- Base 11 completed.
- Base 82589933 completed.

Thank you all very much for all this work !

Surprise : I have to extend the calculations for 3^214. The elves have changed the color of the cell from red to white !!!

 VBCurtis 2020-04-05 06:57

I finally give up on 13^34. Unreserving. 155 digits, the C150 has had just over a t40.

 garambois 2020-04-26 14:27

OK page updated.
Thank you all for your help.
There's been a lot of progress lately !

I reserve base 14 for myself.

 gd_barnes 2020-04-27 06:28

None of the links are working properly. They are each going to the incorrect sequence.

 garambois 2020-04-27 14:12

[QUOTE=gd_barnes;543925]None of the links are working properly. They are each going to the incorrect sequence.[/QUOTE]

Thank you very much gd_barnes for pointing this out to me !
It's fixed now !

I wanted to make some changes on the page and I made a false manipulation, I'll see later...

 LaurV 2020-04-29 08:21

I'm done (for now) with 6^9. I added a few thousand terms to it, and it gave me "false hopes" and palpitations every time it went low, but right now it got the "devil's driver" (for the 6th time!) and it climbed to 154 digits. The C145 is well ECM'd.

 Happy5214 2020-05-01 01:27

I've completed n=21 from i=42 to 50 up to c120+ cofactors, and I'll release those. I'll reserve i=52 to 60, which I'll probably start later in May.

i=50 had me hopeful for a bit, but the downdriver ran out at 89 digits and it eventually got a 2^6*127 driver. Better luck for the next range, I hope.

 garambois 2020-05-08 09:12

OK, page updated.
A lot of thanks for your help !

@LaurV : 5659 terms and 154 digits, WAOUH !!! Thanks a lot.
Please, let me know if the bookings for your calculations aren't good...

@Happy5214 : Thanks a lot.
Please, let me know if the bookings for your calculations aren't good...

My own calculations:
The calculations for base 12 will be completed soon.
I have started the calculations for base 14.

 garambois 2020-05-09 09:46

I would like to announce the renewal of the page.

Now, for each base, you can directly see the prime factor decompositions of the number of the base, as well as the percentages of the number of Done, Open and Cycle sequences.

This new improvement of the page has been possible thanks to the precious help of Karsten Bonath who once again gave his time to help us.

Many thanks to Karsten Bonath !

:smile:

 firejuggler 2020-05-15 01:38

ok. i want to contribute again, if possible.
i'll take 20200511^n

 garambois 2020-05-15 10:23

[QUOTE=firejuggler;545412]ok. i want to contribute again, if possible.
i'll take 20200511^n[/QUOTE]

We are not starting calculations for a new base at this time.
We first want to advance the calculations for all the bases already started.
Do you want to reserve a base already started ?

:smile:

 richs 2020-05-28 16:35

I've added about 300 iterations to 439^14 and it's currently at C113. No reservation but I'll keep working on it for a while.

 Happy5214 2020-05-30 02:23

[I]n[/I]=21 is now done to [I]i[/I]=60, and I'll release the range from [I]i[/I]=52 to 60. I'll take the same base to [I]i[/I]=70, and I'd also like to reserve [I]n[/I]=3 between [I]i[/I]=20 to 40 (except [I]i[/I]=28) to get them to 120-digit cofactors.

 EdH 2020-05-30 22:15

I'm quite late in my arrival to the playground, but I see the 6-table has lots of transparent spaces. Unless told to stop, I'll try to cause them to become orange. No personal need on my end to show a reservation. If I catch one appearing for someone else, I'll stop my work. All my calculations are done directly with the db, so it will show exactly where my machines are ATM.

Will the table catch up with my work by itself, or do I need to provide periodic info here?

 garambois 2020-05-31 10:48

OK, page updated.
Thank you all for your help !

@richs : Thank you very much.

@Happy5214 : Done. Thank you very much. Don't hesitate to let me know if I've done something wrong with your reservations !

@EdH : Welcome to our club and thank you very much ! I preferred to put base 6 on reservation for you, to prevent someone else from doing the same job as you. If you want me to remove these reservations, don't hesitate to ask me ! You do not need to give details of the progress of the calculations here. At the next update, the progress of the calculations will be taken into account automatically. Just enter your results on factorDB. Please also let me know if you don't like the acronym "EDH" to indicate your contribution, I can change it. The same applies if you prefer that I put your real name in the contributors table instead of your pseudonym "EdH".

[U]My own progress :[/U]
The calculations for base 12 are complete. Calculations for base 14 are in progress. Non-trivial end for 14^49 on prime 59.

 EdH 2020-05-31 11:54

Thanks! EDH is fine for my code. Edwin Hall would probably be better for contributors. Once I catch that a sequence has reached 120 dd (orange) status, I will drop that one, at least for now.

 garambois 2020-05-31 14:55

[QUOTE=EdH;546871]Edwin Hall would probably be better for contributors.[/QUOTE]

Done !

[QUOTE=EdH;546871]Once I catch that a sequence has reached 120 dd (orange) status, I will drop that one, at least for now. [/QUOTE]

Many thanks !

If you see that some of us extend the calculations a little bit beyond 120 digits, to 122 or 123 digits (or more !), it's because sometimes the elves change a cell from orange to white again.
But this is very unlikely if :
- The last term of the aliquot sequence has "only" 120 digits and if the sequence has a driver.
- The cofactor is ecmd and is at least 110 digits long.

 EdH 2020-05-31 17:14

Thanks! Depending on the scripts/software I'm using I probably won't catch all of them right at 120, as shown already for a couple. And, as I have been an elf from time to time, I've seen how sequences can move ahead via their work.

 Happy5214 2020-06-01 06:20

[QUOTE=garambois;546876]If you see that some of us extend the calculations a little bit beyond 120 digits, to 122 or 123 digits (or more !), it's because sometimes the elves change a cell from orange to white again.
But this is very unlikely if :
- The last term of the aliquot sequence has "only" 120 digits and if the sequence has a driver.
- The cofactor is ecmd and is at least 110 digits long.[/QUOTE]

Personally, my strategy (for virtually all of my aliquot sequences) is to keep going with the sequence until the [I]cofactor[/I] is at least 120 digits and it passes the "normal" level of ECM (4/13 in yafu), regardless of the overall size of the last term. That's what I'm doing advancing [I]n[/I]=3.

As an aside, I've already finished my work on 3^20 and am releasing that one.

 garambois 2020-06-01 07:34

[QUOTE=Happy5214;546923]Personally, my strategy (for virtually all of my aliquot sequences) is to keep going with the sequence until the [I]cofactor[/I] is at least 120 digits and it passes the "normal" level of ECM (4/13 in yafu), regardless of the overall size of the last term. That's what I'm doing advancing [I]n[/I]=3.

As an aside, I've already finished my work on 3^20 and am releasing that one.[/QUOTE]

This is an even more robust strategy than mine.
It's an excellent strategy !
But it's an even more computing time-consuming strategy !

 EdH 2020-06-01 12:58

[QUOTE=Happy5214;546923]Personally, my strategy (for virtually all of my aliquot sequences) is to keep going with the sequence until the [I]cofactor[/I] is at least 120 digits and it passes the "normal" level of ECM (4/13 in yafu), regardless of the overall size of the last term. That's what I'm doing advancing [I]n[/I]=3.
. . .[/QUOTE]This is a good strategy to keep the elves away for now. For this project, I expect to work toward coloring the boringly transparent squares so all the tables can look "colorful."

But each should play as they desire, since this is all "for fun.":smile:

Note: I do bounce around to different projects. Not sure how long I'll play here, but for now. . .

 garambois 2020-06-01 14:49

[QUOTE=EdH;546935]
But each should play as they desire, since this is all "for fun.":smile:
[/QUOTE]

That goes without saying. It's the basic principle !
The main thing is to enjoy yourself.

And besides, while having fun, if we calculate enough aliquot sequences to be able to notice something, if there is something to notice, we might be able to formulate a new conjecture, who knows ?
That is the goal and what we are working towards.

And in that case, we'll have even more fun !

 EdH 2020-06-01 15:49

[QUOTE=garambois;546938]. . .
And besides, while having fun, if we calculate enough aliquot sequences to be able to notice something, if there is something to notice, we might be able to formulate a new conjecture, who knows ?
That is the goal and what we are working towards.
. . .[/QUOTE]And, this is what compelled me to try to fill the tables with bright colors. . .

 EdH 2020-06-02 21:55

A large portion of the 6-table is now ready to turn orange at the next update.

Where would you prefer I play next? I don't see any reservations in the transparent areas of the 1155-table. I can move into there, unless you'd rather another table was finished first.

Edit: Is someone working 1155? I see 1155^18 is far beyond the table reference. I will swap over to 439 and see how they look.

Edit2: I see 439^14 is also way past the table data. Am I missing something?

I will wait for further direction before moving elsewhere.

 garambois 2020-06-03 08:05

The activity on this project is starting to intensify, which is really great !!!

:smile:

The probability that several people will make the same calculations increases strongly if we don't record all the sequence bookings..
We would therefore be more efficient if everyone reserved the sequences they are working on.

@EdH : You have a computing power that leaves me dreaming ! A big thank you for all this work ! I checked : absolutely nobody seems to work without having made a booking on base 15. If you're still willing to continue working on this project, you can work on base 15... Would you like to reserve it ?

@richs : Are you doing calculations for base 439, as you do occasionally ? If so, please, do you want to reserve it so that other people don't do the same calculations as you do ?

@gd-barnes : I don't know if you're doing calculations for bases 385 and 1155 right now, as has happened before. If you are, could you tell me what sequences you are working on, please ? Then I can reserve them for you...

@To any other participants : Please let me know which sequence(s) you're working on so I can reserve it (them) for you !

 EdH 2020-06-03 12:04

@All:

I'm sorry if I created any friction, especially since I'm new to this project. I do realize everything is voluntary and for fun. I do have a bit of computing power and don't want to tread on someone else. This could happen especially if someone is running a sequence without constant factordb updates, since I might run it up past where they are working. I don't mind so much my work being duplicated, but I don't want someone else to find theirs duplicated by me. In light of that please contact me if I might be infringing on your sequences. PM is fine. Meanwhile, If I find any sequence well past what the table shows when I start on it, I will skip that sequence for now.

@garambois:

Yes, base 15 sounds good. I'd like to reserve the whole transparent portion and task some machines to color in the squares. Thanks!

 richs 2020-06-04 01:53

[QUOTE=garambois;547060]The activity on this project is starting to intensify, which is really great !!!

:smile:

The probability that several people will make the same calculations increases strongly if we don't record all the sequence bookings..
We would therefore be more efficient if everyone reserved the sequences they are working on.

@EdH : You have a computing power that leaves me dreaming ! A big thank you for all this work ! I checked : absolutely nobody seems to work without having made a booking on base 15. If you're still willing to continue working on this project, you can work on base 15... Would you like to reserve it ?

@richs : Are you doing calculations for base 439, as you do occasionally ? If so, please, do you want to reserve it so that other people don't do the same calculations as you do ?

@gd-barnes : I don't know if you're doing calculations for bases 385 and 1155 right now, as has happened before. If you are, could you tell me what sequences you are working on, please ? Then I can reserve them for you...

@To any other participants : Please let me know which sequence(s) you're working on so I can reserve it (them) for you ![/QUOTE]

I will reserve 439^14 since I'm still working it. Thanks!

 garambois 2020-06-04 14:35

OK, page updated !
Thanks to all.

Don't hesitate to let me know if there are errors in your reservations !
I don't know who's working on base 1155 at the moment. But let's give people time to come forward.

Indeed, there are more and more colors in the tables of our project !

[U]At this rate, we will have to think about adding new priority bases planned :
[/U]
18, 19, 20, 22, 23 and [strike]24[/strike] (integers from 2 to 24)

[strike]496[/strike], [strike]8128[/strike] (perfect numbers)

(220,284), amicable and some sociable numbers

[strike]30=2*3*5[/strike] (the product of successive primary factors)
[strike]210=2*3*5*7[/strike]
[strike]2310[/strike]=2*3*5*7*11
[strike]30030[/strike]=2*3*5*7*11*13
[strike]510510=2*3*5*7*11*13*17[/strike]
[strike]9699690=2*3*5*7*11*13*17*19[/strike]
And some tests with these same numbers, without the factor 2, without the factor 3, without the factors 2*3 like 1155=3*5*7*11 or [strike]770=2*5*7*11 or[/strike] 385=5*7*11

Possibly also the bases n!=1*2*3*...*n for n from 1 to 20

If someone feels attracted by one of these new bases he can already ask me to add it...
If someone wants to push the calculations further for base 2, for i beyond 500, I can also extend. I don't have a computer powerful enough at the moment to extend the calculations for base 2. Base 2 is important, it is the only one for which we can know the prime numbers at the end for each sequence.

:smile:

 Happy5214 2020-06-04 15:02

I would like 210 (21*10) and 24 (my mom's favorite number).

I don't know if I was clear about releasing 3^20, but I'll release that one. I've already pushed 3^24 to 134 digits (not on FactorDB yet) and am continuing on that one right now.

 garambois 2020-06-06 07:39

It's a shame I can't edit post #280 on this page. I could cross out the new priority bases as the bookings come in !

As for me, I book bases 510510 and 9699690.
I commit myself to coloring all the cells in green or orange for these two bases.

[U]@Happy5214 :[/U]
Thank you very much for booking 24 and 210 (see below how you can help to make my job easier). OK, seen for 3^20, it will be done at the next update.

[U]@All :[/U]
Please, do not make any calculation for the reserved bases 24, 210, 510510, 9699690 even if they are not yet on the "official" reservation page ([URL]http://www.aliquotes.com/aliquotes_puissances_entieres.html[/URL]).

[U]@All those who have reserved a new priority base :[/U]
I will only add the new bases on the "official" reservation page when all the trivial sequences are finished, otherwise it will be more complicated for me and source of error, not to mention the time needed to insert the sequences that are finished.
The sequences that end trivially are the sequences n^i with n and i having the same parity (n and i must both be even or n and i must both be odd).
It takes a few days on a single thread to complete all these sequences and bring the others to 100 digits.
PLEASE let me know when this first phase of work will be done for a new priority reserved base, so that I can add this new priority reserved base to the "official" reservation page.

Thank you very much.

 garambois 2020-06-06 16:49

Thanks a lot Edwin, for crossing out the reserved sequences in the post #280 !

:hello:

 EdH 2020-06-06 17:44

Base 6 should be completely colored in with the next update. Base 15 will still have a few left. What is the reservation status for base 17? If it's open, go ahead and reserve it for me.

If anyone is currently working within base 17, please let me know.

 garambois 2020-06-07 09:26

Page updated.
Thanks to all of you !

@EdH : base 17 is completely free, I reserved it for you.

 EdH 2020-06-07 18:29

[QUOTE=garambois;547353]Page updated.
Thanks to all of you !

@EdH : base 17 is completely free, I reserved it for you.[/QUOTE]
Thanks.

I don't know how you flag merges, but if you have to do it manually, next time you update, here's one:
[code]
15^12:i3841 merges with 368688:i2
[/code]

 EdH 2020-06-09 20:39

I'm going to play with base 8128 for a bit, unless someone tells me to stop.

 garambois 2020-06-10 08:50

[QUOTE=EdH;547557]I'm going to play with base 8128 for a bit, unless someone tells me to stop.[/QUOTE]

OK, perfect !
Please, can you cross out 8128 in post #280 ?
Thank you !

I'm doing the first step, as described in post #282 for bases 510510 and 9699690.
That way, I'll be able to add these two bases in the next update.

[U]@All those who have booked a new priority base :[/U]
Please, don't forget to let me know when you have completed the first step of the bases you have booked, so that I can add them to the official booking page.

 EdH 2020-06-10 18:51

1 Attachment(s)
I think I have met all the preliminary requirements for base 8128. I've also attached the bulk of the entries for the table in html format. If I've done it correctly, all you'll need to do is create the before and after portions and insert the lines I've provided.

Please let me know if the text file does work or if it isn't of value. It is the product of a script I'm playing with. At this point, you have to edit the script (edit base, any reservation initials and power range), and then enter the index and (P/U/C values) for each power. Then the corresponding line is written to a file. I might try to add more bells and maybe even automation, eventually. It does not provide for any merge entry, either ATM.

 Happy5214 2020-06-11 09:44

For [I]n[/I]=210, I have finished all trivial sequences that start under 120 digits, and also calculated all nontrivial sequences starting under 100 digits to 100 digits. What do you want me to do with the nontrivial sequences in the 100-120 digit start range?

 EdH 2020-06-11 11:22

[QUOTE=Happy5214;547690]For [I]n[/I]=210, I have finished all trivial sequences that start under 120 digits, and also calculated all nontrivial sequences starting under 100 digits to 100 digits. What do you want me to do with the nontrivial sequences in the 100-120 digit start range?[/QUOTE]@garambois: If a table has not yet been built for 210 (and my previous table worked OK), I can build the 210 table html code while "playing" with my script. Or, if you'd rather, I could quit pestering you with these. I'm not sure if you have an automation method or you do all the html code manually.

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