Aliquot sequences that start on the integer powers n^i - Page 144

EdH · 2022-04-24, 14:12

Quote:

Originally Posted by RichD

It looks like bases 119 and 127 might already be initialized (by someone else).

127 is reserved by kruoli. I don't know anything about 119.

Happy5214 · 2022-04-30, 05:29

I haven't had much time to dedicate to this subproject, so I'll release base 24. I feel like I'm holding up its progress.

garambois · 2022-04-30, 10:15

Quote:

Originally Posted by RichD

It looks like bases 119 and 127 might already be initialized (by someone else).

I don't know anything about Base 119 either.
But 119=7*17 is not a prime number.
I will add this base in the next update, if you say it was initialized by an anonymous person.
I also plan to add the bases 85 and 89 initialized by myself.
Then I also plan to update all the bases inventoried by Edwin in the other thread.

Quote:

Originally Posted by Happy5214

I haven't had much time to dedicate to this subproject, so I'll release base 24. I feel like I'm holding up its progress.

OK, so I will release base 24.
Thank you very much Happy !

EdH · 2022-05-01, 18:42

It looks like someone has initialized base 1058. The sequences through exponent 43 are all prime with the first terms for all the rest through 60 above 130 digits. Maybe that could be added now, as well?

Has anyone mentioned this base before?

garambois · 2022-05-01, 19:05

OK, I'm almost done with the planned update.
I'll wait until tomorrow to see if anyone claims the 1058 base.
So I will add this base tomorrow as well.
Thanks a lot Edwin !

Happy5214 · 2022-05-01, 20:04

1058 = 2*23^2, the next double of a square, so maybe look for that?

garambois · 2022-05-02, 07:55

Quote:

Originally Posted by Happy5214

1058 = 2*23^2, the next double of a square, so maybe look for that?

Yes, but the question is : Who made these calculations ?
If there is no answer, I will put everything in anonymous "A".

RichD · 2022-05-02, 13:06

Initializing base 131 next.

Happy5214 · 2022-05-02, 13:23

Quote:

Originally Posted by garambois

Yes, but the question is : Who made these calculations ?
If there is no answer, I will put everything in anonymous "A".

I was hoping that factorization could be useful as a search term. The sequences appear to have been added in early February (around the 7th to the 8th), but no mention of that base was made in this thread around that time. I don't know if those dates jog anyone's memory.

garambois · 2022-05-02, 13:59

Quote:

Originally Posted by Happy5214

I was hoping that factorization could be useful as a search term. The sequences appear to have been added in early February (around the 7th to the 8th), but no mention of that base was made in this thread around that time. I don't know if those dates jog anyone's memory.

This is really not a big deal.
Whether or not we know the identity of the person who made the calculations, the data will have the same utility.
The person who made the calculations can always come forward later.

garambois · 2022-05-02, 14:01

Quote:

Originally Posted by RichD

Initializing base 131 next.

OK, many thanks RichD !
As for me, I'm starting to initialize bases 137 and 8191.

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Broken aliquot sequences	fivemack	FactorDB	46	2021-02-21 10:46
Broken aliquot sequences	schickel	FactorDB	18	2013-06-12 16:09
A new theorem about aliquot sequences	garambois	Aliquot Sequences	34	2012-06-10 21:53
poaching aliquot sequences...	Andi47	FactorDB	21	2011-12-29 21:11
New article on aliquot sequences	schickel	mersennewiki	0	2008-12-30 07:07

2022-04-30, 05:29	#1575
Happy5214 "Alexander" Nov 2008 The Alamo City 5×163 Posts	I haven't had much time to dedicate to this subproject, so I'll release base 24. I feel like I'm holding up its progress.

2022-05-01, 18:42	#1577
EdH "Ed Hall" Dec 2009 Adirondack Mtns 2²×1,151 Posts	It looks like someone has initialized base 1058. The sequences through exponent 43 are all prime with the first terms for all the rest through 60 above 130 digits. Maybe that could be added now, as well? Has anyone mentioned this base before?

2022-05-01, 19:05	#1578
garambois "Garambois Jean-Luc" Oct 2011 France 3²×97 Posts	OK, I'm almost done with the planned update. I'll wait until tomorrow to see if anyone claims the 1058 base. So I will add this base tomorrow as well. Thanks a lot Edwin !

2022-05-01, 20:04	#1579
Happy5214 "Alexander" Nov 2008 The Alamo City 5·163 Posts	1058 = 2*23^2, the next double of a square, so maybe look for that?

2022-05-02, 13:06	#1581
RichD Sep 2008 Kansas 2·7·257 Posts	Initializing base 131 next.