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

garambois 2021-02-09 17:49

OK, thanks a lot.
I will add the 33550336 base in the next update.

EdH 2021-02-09 19:09

Is anyone working with base 392 (2*14^2)? factordb does not seem to show any activity yet. I will start [STRIKE]initialization[/STRIKE] filling it in.

BTW, 392^17 ends with 6 (Cycle)

garambois 2021-02-09 21:17

[QUOTE=EdH;571226]Is anyone working with base 392 (2*14^2)? factordb does not seem to show any activity yet. I will start [STRIKE]initialization[/STRIKE] filling it in.

BTW, 392^17 ends with 6 (Cycle)[/QUOTE]


To my knowledge, no one works on base 392. Thank you for working on this base.

RichD 2021-02-11 18:52

Base 37 will be ready to insert into the tables at the next update. I will continue to work on it part-time. It was taken to exponent 80.

EdH 2021-02-12 15:13

450 (2*15^2) appeared to be undisturbed until my inquiries, so I will start filling in the cells for a base 450 table. . .

RichD 2021-02-12 17:47

Another merge 37^18 ?

EdH 2021-02-12 19:25

[QUOTE=RichD;571442]Another merge 37^18 ?[/QUOTE]
Verified:
[code]
37^18:i1430 merges with 3366:i2
[/code]

garambois 2021-02-12 20:20

OK, many thanks.

I will add the 37 base in the next update.
Keep me posted for bases 392 and 450.

I also found the following mergers :
33^8:i275 merges with 48024:i10
and
33^10:i94 merges with 1009656:i2
I will add these two mergers in the next update.

EdH 2021-02-13 01:30

[QUOTE=garambois;571456]. . .
Keep me posted for bases 392 and 450.
. . .
[/QUOTE]Base 392 is all green up through [I]i=52[/I] (except for [I]i=17[/I], which cycles at 6).

yoyo 2021-02-13 13:02

I need more food :-) roughly 200 sequences. I'll wait for updated pages to check which are the next bases.

EdH 2021-02-13 15:37

[QUOTE=yoyo;571519]I need more food :-) roughly 200 sequences. I'll wait for updated pages to check which are the next bases.[/QUOTE]
What about the bases of the 6th (33550336) and 7th (8589869056) perfect numbers (or even further)?

The even parities will all terminate rather quickly, but most of the odd should give some good sequences. And you might turn up a cycle or two for the collection.


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