Aliquot sequences that start on the integer powers n^i

[richs]

Originally Posted by richs

Taking 439^36 at i68.

439^36 is now at i148 (added 80 iterations) and a C130 level with a 2^6 * 3 * 5 * 31 guide, so I will drop this reservation. The remaining C126 term is well ecm'ed and is ready for nfs.

Taking 439^38 at i52.

[garambois]

OK, page updated.
A lot of thanks to all for your help.

Originally Posted by EdH

In case you do an update this weekend prior to my finishing 18^119, I have otherwise completed a new row for base 18, through 18^118 at present.

I am running 18^119 and hope to have it done soon. For now, I will not be extending the table further.

Sorry Edwin, but I had done the update before reading your message! But next week, I'm going to extend base 18 to 18^129.
do you want to make reservations for this base ?

In the same way, I think to add the bases 50 (=2*5^2), 72 (=2*6^2) and 98 (=2*7^2), up to 50^95, 72^88 and 98^82.
It is an effective way to have many sequences that end because for these three bases, as for bases 2 and 18, all sequences end.

I take care of base 50 and I will add it only when I will have finished all the sequences up to 50^72.
If someone wants to do the preliminary work for bases 72 and 96, let me know here.
I believe that with these three additional bases, we will be very well equipped for our statistics in a few months...

Originally Posted by RichD

I am slowing down on the others but still randomly doing a bit of work on n=19, 20, 23, 29, 770.

RichD, do you want to make reservations for these bases ?

Originally Posted by richs

439^36 is now at i148 (added 80 iterations) and a C130 level with a 2^6 * 3 * 5 * 31 guide, so I will drop this reservation. The remaining C126 term is well ecm'ed and is ready for nfs.

Taking 439^38 at i52.

OK, got it. Thank you very much.
I'll change that in the next update.

[garambois]

Please, do you manage to reproduce the same error as me, when you enter on factordb the sequence 72^89 from index 0 to 1, like this :

http://factordb.com/sequences.php?se...ange&fr=0&to=1

The answer is totally absurd, at index 0, it indicates 2^534 !!!

[EdH]

Originally Posted by garambois

Please, do you manage to reproduce the same error as me, when you enter on factordb the sequence 72^89 from index 0 to 1, like this :

http://factordb.com/sequences.php?se...ange&fr=0&to=1

The answer is totally absurd, at index 0, it indicates 2^534 !!!

There are several others, as well:

72^71 shows 2^426
72^73 shows 2^438
72^79 shows 2^474
72^83 shows 2^498
72^79 shows 2^474

I didn't check the whole range.

I was going to offer to do the preliminaries for 72. Perhaps I should choose 98.

I had not intended to extend base 18 past 2^119 (at least, not for now), so others are free to reserve those.

[RichD]

Originally Posted by garambois

RichD, do you want to make reservations for these bases ?

No, just 770. I'll take the remainder to orange, if that is where they go...

[RichD]

It looks like Table n=23 didn't get updated which includes these from above.

Originally Posted by RichD

The following sequences terminate.
. . .
23^10
23^77
23^79
23^81

Additional terminations:
19^91
20^92

[garambois]

Originally Posted by EdH

There are several others, as well:

72^71 shows 2^426
72^73 shows 2^438
72^79 shows 2^474
72^83 shows 2^498
72^79 shows 2^474

I didn't check the whole range.

I was going to offer to do the preliminaries for 72. Perhaps I should choose 98.

I had not intended to extend base 18 past 2^119 (at least, not for now), so others are free to reserve those.

OK, thank you for checking for the malfunction for base 72. Under these conditions, it is better to leave this base aside for the moment !
A few months ago, I had reported other malfunctions on factordb, on sequences of the main project (see here). But the errors were never corrected, nor reported on the blue page. So this is likely to last ! It is indeed better to calculate the base 98 !

OK, seen for base 18.

[garambois]

Originally Posted by RichD

No, just 770. I'll take the remainder to orange, if that is where they go...

OK, I'll reserve the 770 base for you at the next update. Thank you very much.

[garambois]

Originally Posted by RichD

It looks like Table n=23 didn't get updated which includes these from above.

Additional terminations:
19^91
20^92

I must have made a mistake on base 23. I think you're right, it hasn't been updated.
I'm sorry !
I will correct it in the next update.

[EdH]

Originally Posted by garambois

OK, thank you for checking for the malfunction for base 72. Under these conditions, it is better to leave this base aside for the moment !
A few months ago, I had reported other malfunctions on factordb, on sequences of the main project (see here). But the errors were never corrected, nor reported on the blue page. So this is likely to last ! It is indeed better to calculate the base 98 !

OK, seen for base 18.

I have base 98 underway, but I'll probably only take it up to index 0 >= c140 dd.

I intend to work with base 72 also (to the same size as base 98), with the intention of providing the correct .elfs as attachments for those that are incorrect in the db. That way, we can still do data harvesting via local files. I have posted the list of incorrect ones (checked up through 72^100) here. For the >=140 sequences that are incorrect in the db, I'll supply .elfs which contain at least indices 0 and 1, so that detail of study can be continued.

At a later time, I'll revisit the higher exponents for the tables for bases 18, 72, 98. Maybe someone else may be interested in the higher ends of those tables by then.

[garambois]

Originally Posted by EdH

In case they've not been noted earlier:

29^15:i38 merges with 18528:i1

After a few checks on the data, I would note that :

29^15:i38 merges with 18528:i1

should be :

29^15:i37 merges with 18528:i0

Do you confirm that I should make this change ?