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

EdH 2020-08-28 02:35

[QUOTE=RichD;555203]19^14 might have also merged.[/QUOTE]
True![code]19^14:i765 merges with 755460:i25[/code]

EdH 2020-08-28 15:05

@RichD:
Not sure if these have already been mentioned*, but there are a couple other base 20 merges:
[code]
20^7:i60 merges with 7044:i129
20^9:i27 merges with 709900:i10
[/code]
[SIZE=2]*Sorry, if this is "old news."[/SIZE]

RichD 2020-08-28 16:50

I remembered a low exponent but couldn't remember the base. Great that you found them.

Also, 23^44 appears to merge.

EdH 2020-08-28 18:28

[QUOTE=RichD;555289]I remembered a low exponent but couldn't remember the base. Great that you found them.

Also, 23^44 appears to merge.[/QUOTE]
It does:
[code]
23^44:i1830 merges with 7560:i251[/code]

RichD 2020-08-29 10:52

Table n=29 is ready to insert on the webpage when the update comes around. I took it to i=83.

EdH 2020-08-29 13:33

[QUOTE=RichD;555366]Table n=29 is ready to insert on the webpage when the update comes around. I took it to i=83.[/QUOTE]
In case they've not been noted earlier:
[code]
29^6:i51 merges with 2441868:i4
29^15:i38 merges with 18528:i1
[/code]

EdH 2020-08-30 12:26

In case it's of use, here is a compilation of the merges not yet shown in the tables:
[code]
19^14:i765 merges with 755460:i25

20^7:i60 merges with 7044:i129
20^9:i27 merges with 709900:i10
20^37:i1855 merges with 660:i25

23^12:i144 merges with 78660:i2
23^44:i1830 merges with 7560:i251

770^3:i29 merges with 165876:i98
[/code]

garambois 2020-08-30 18:56

OK, page updated.
A lot of thanks to all for your help.
The amount of calculations performed in 10 days was colossal !

I thank you to check if everything is correct for the work concerning you...

Bases 20, 29 et 79 added.
Mergings added.
Modified attributions.
And more details...

:smile:

EdH 2020-08-30 22:23

@Jean-Luc:
Now that we have a clearer picture of all the added tables, is there something in particular that you would prefer I work on?

If not, I'll go ahead and dabble in the base 79 table for a bit - no reservations necessary, for now.

Thank you for all the work keeping the tables straight!

RichD 2020-08-31 13:14

The tables are really nice and helpful.

The following sequences terminate.
20^82
29^84
20^86
20^88
20^90
23^10
23^77
23^79
23^81
29^63

garambois 2020-08-31 16:02

[QUOTE=RichD;555523]The tables are really nice and helpful.

The following sequences terminate.
20^82
29^84
20^86
20^88
20^90
23^10
23^77
23^79
23^81
29^63[/QUOTE]


Okay, thank you very much.
This will be taken into account in the next update probably next weekend.


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