mersenneforum.org

mersenneforum.org (https://www.mersenneforum.org/index.php)
-   Aliquot Sequences (https://www.mersenneforum.org/forumdisplay.php?f=90)
-   -   Aliquot sequences that start on the integer powers n^i (https://www.mersenneforum.org/showthread.php?t=23612)

EdH 2021-02-03 17:34

If you guys would like, I can let yoyo have 33550336, as well. I have done very little with it so far. I'm really only playing with a Colab session with it ATM.

garambois 2021-02-04 17:23

[QUOTE=yoyo;570798]Oh, I took 33.
But I'll take 30, 8128, 220, 284 also.[/QUOTE]


OK, thank you very much, this is great news ! Update next weekend.

garambois 2021-02-04 17:29

[QUOTE=EdH;570800]If you guys would like, I can let yoyo have 33550336, as well. I have done very little with it so far. I'm really only playing with a Colab session with it ATM.[/QUOTE]


Don't worry, I'll do the preliminary work for the perfect number 33550336 myself within three weeks if you don't tell us on this forum that you're done by then.

EdH 2021-02-04 17:57

[QUOTE=garambois;570866]Don't worry, I'll do the preliminary work for the perfect number 33550336 myself within three weeks if you don't tell us on this forum that you're done by then.[/QUOTE]I can take care of it. I've already done a little. I was just offering it to yoyo, in case he needed more to add to his project.

Happy5214 2021-02-06 03:36

On the base summary lines, the fact that Done doesn't include sequences ending in cycles is confusing, since these sequences are in fact done. There are two possible solutions. We could include cycles in the Done count (a similar duplication to the merges being included with the open sequence count) or rename Done to Prime (the actual meaning of that color and parallel to Cycle). If we do the latter, we may want to reorder the stats so that Prime and Cycle are next to each other, perhaps duplicating the order in the key?

-----------

PS @yoyo You can also take base 22 if you want it. It will be added to the page in the next update, as Jean-Luc said earlier, and everything is at least 100 digits. I don't know if you missed that post, which includes the skipped sequences. 22^89 is 120 digits if you need the limiting reference.

yoyo 2021-02-06 06:30

Oh, yes I missed that post. I just looked at the reservation page. I take base 22.

garambois 2021-02-06 09:18

[QUOTE=Happy5214;570966]On the base summary lines, the fact that Done doesn't include sequences ending in cycles is confusing, since these sequences are in fact done. There are two possible solutions. We could include cycles in the Done count (a similar duplication to the merges being included with the open sequence count) or rename Done to Prime (the actual meaning of that color and parallel to Cycle). If we do the latter, we may want to reorder the stats so that Prime and Cycle are next to each other, perhaps duplicating the order in the key?
[/QUOTE]


I think you're right. For clarity, we have to rename "done" to "Prime" and change the order. If we make the following change, does that seem clearer to you ?

Replace this (base 2 example) :

[COLOR=Blue]Stats: All: 559 / Done: 556 ➔ 99.46% / Open: 0 ( 0) ➔ 0.00% / Merges: 0 ➔ 0.00% / Cycle: 3 ➔ 0.54%[/COLOR]

By this :

[COLOR=blue]Stats: All: 559 / Prime: 556 ➔ 99.46% / Cycle: 3 ➔ 0.54% / Open: 0 ( 0) ➔ 0.00% / Merges: 0 ➔ 0.00%[/COLOR]

Happy5214 2021-02-06 12:29

[QUOTE=garambois;570970]I think you're right. For clarity, we have to rename "done" to "Prime" and change the order. If we make the following change, does that seem clearer to you ?[/QUOTE]

Much better.

RichD 2021-02-06 22:44

Base 338 was taken to exponent 50. All showing green, as expected.

garambois 2021-02-07 11:04

Page updated.
Many thanks to all.
Long and complicated update. So thank you all for checking to see if the updates correspond to your requests.

Bases 22, 33 and 338 added.
Bases 22, 26, 29, 30, 31, 33, 220, 284, 8128 reserved for yoyo.

For bases 22 and 33, I did not know up to which exponent the calculations had been made. So I looked on FactorDB up to which exponent calculations had been performed.

EdH 2021-02-09 14:19

[QUOTE=garambois;571075]Page updated.
Many thanks to all.
Long and complicated update. So thank you all for checking to see if the updates correspond to your requests.

Bases 22, 33 and 338 added.
Bases 22, 26, 29, 30, 31, 33, 220, 284, 8128 reserved for yoyo.

For bases 22 and 33, I did not know up to which exponent the calculations had been made. So I looked on FactorDB up to which exponent calculations had been performed.[/QUOTE]Bummer - I just missed it! 33550336 base table is initialized through [I]i=20[/I]. Of interest (to me) was that [I]i=13[/I] started and ran for over 100 iterations hovering between 98 and 99 digits before moving on.


All times are UTC. The time now is 23:02.

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.