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

EdH 2022-03-09 20:13

@yoyo:

If I bring those matched parity sequences that are currently above your threshold down under that value, would you want them back to terminate? If you would want them back, at what digit size would you prefer for the main term?

To clarify, If I bring base 3, exponents 323, 325, . . ., 335 down under 140 digits, would you want to take them the rest of the way to termination? Or, would that be too much labor for the gain in work?

yoyo 2022-03-09 21:05

I'll do what you like. If you bring them down to a remaining composite below 140 I can add them to the queue. I'm also fine if you run them until termination and take the honour of it.

EdH 2022-03-09 21:14

[QUOTE=yoyo;601396]I'll do what you like. If you bring them down to a remaining composite below 140 I can add them to the queue. I'm also fine if you run them until termination and take the honour of it.[/QUOTE]OK! I'll see where I go with them, but I'm not sure how soon that will be, either.

garambois 2022-03-09 22:18

As for me, I will clarify all this on the project page by making an update for base 3 next weekend.
I will change the reservations for exponents 323, 325, ..., 335 and assign these reservations to EDH instead of yoyo.
And at yoyo, I will leave only one exponent reserved: 132.
I will certainly also take the opportunity to look at the reservations for all other bases <=10.
I will take care of the >10 bases later when I have more time.

EdH 2022-03-09 23:10

3^321 is also within yoyo's range and unterminated. I will leave that for yoyo or others to finish, for now.

garambois 2022-03-10 18:00

OK, I'll finish the 3^321 sequence.

RichD 2022-03-11 00:50

Base 86 can be added at the next update.

I will take base 84 next.

RichD 2022-03-13 15:43

Base 84 can be added at the next update.

garambois 2022-03-13 19:24

Complete update done !
Many thanks to all for your help.
Please let me know if you notice any errors !

[B]Added bases : 84 and 86.[/B]
[B]Reservations changed for all most bases booked by yoyo.[/B]

For example for base 3, there are now only 2 sequences reserved by yoyo.
Therefore, there are now many sequences that will end trivially for small bases<10 that are no longer reserved by yoyo and for which calculations have not yet been performed.
For those who have a lot of computing power and want to, they can perform these calculations for bases 5, 6, 7 and 10 first (base 3 is already reserved by Edwin).
These results are highly anticipated !
Thanks to all of you !

EdH 2022-03-13 20:04

[QUOTE=garambois;601671]. . .
For those who have a lot of computing power and want to, they can perform these calculations for bases 5, 6, 7 and 10 first (base 3 is already reserved by Edwin). . .[/QUOTE]My intention is to move those base 3 (matched parity) sequences down until the primary term is <140 decimal digits* and then release them back to yoyo or the group to terminate them. I will do the same for the other bases, in turn, unless someone else reserves them first. If they wish to wait for me to move them down, that's fine too. I will work in base order.

* ATM, base 3, exponents 323, 325 and 333 are below 140 digits and therefore available to others.

Since I may be confusing some things:

base 3:[code]
^323 - released (<140)
^325 - released (<140)
^327 - still in work
^329 - still in work
^331 - still in work
^333 - released (<140)
^335 - still in work[/code]base 85:[code]playing lightly, but not under reservation - feel free to reserve.[/code]base 98:[code]all open exponents ^90-^100 are reserved and in work.[/code]Sorry for any confusion.

Thanks for all the work, Jean-Luc!

VBCurtis 2022-03-13 22:36

I am happy to take the sub-140s and finish them, but I won't be able to start for 3 more weeks (factoring a C175 presently).

Any sequences listed by Ed as under-140 that aren't taken by then will be reserved by me at that time- maybe y'all will be nice enough to leave me one or two. :)


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