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

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

Glad I can be helpful.:smile:

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]


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