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

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

Update 13^40, please.

I added ~2000 terms. :tu::rgerbicz:

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.
- Base 17 added.

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 !!!


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