Aliquot sequences that start on the integer powers n^i

[Happy5214]

Originally Posted by EdH

Welcome back! Should I pull 210 matched parity sequences out of the other thread? The added exponents aren't showing a reserved status currently.

I don't plan on going above i=60 (I lack the patience to do too many NFS runs above C120 on my Core 2 Quad), so you should be fine to keep those.

[EdH]

Originally Posted by Happy5214

I don't plan on going above i=60 (I lack the patience to do too many NFS runs above C120 on my Core 2 Quad), so you should be fine to keep those.

Thanks! I'll add them back.

[RichD]

Base 233 can be added at the next update.

[gd_barnes]

I terminated the following same-parity sequences:

227^53, 227^55, 227^63, 227^67, 229^55, and 229^59

Bases 227 and 229 were recently initialized by Rich so are not on the pages yet.

[garambois]

Originally Posted by EdH

I'm still looking at a more complete list of primes that cross bases, but that is proving to be quite a task and I may have to modify my approach.

This is huge, a lot of thanks !

[garambois]

Originally Posted by Happy5214

I know I'm late to this discussion. I did translate "bearing" to French ("palier") and back to English and got "level", which makes much more sense to me, in case you want to use that in the future.

OK, thanks, I had hesitated !

[garambois]

Page updated.
Many thanks to all for your help.
I had very little time to do this update and I could not verify anything.
Please let me know of any errors or malfunctions.

Added bases : 227, 229 and 233.
Updated bases : All the bases announced below.

5^249: Prime - EDH *
10^154: Prime - GDB *
20^102: Prime - GDB *
20^106: Prime - GDB *
21^103: Prime - GDB *
21^105: Prime - GDB *
21^109: Prime - GDB *
22^110: Prime - GDB *
23^105: Prime - GDB *
23^115: Prime - GDB *
23^117: Prime - GDB *
26^104: Prime - GDB *
29^107: Prime - GDB *
31^101: Prime - GDB *
31^103: Prime - GDB *
31^107: Prime - GDB *
48^92: Prime - GDB *
58^86: Prime - GDB *
63^83: Prime - GDB *
65^83: Prime - GDB *
65^85: Prime - GDB *
67^85: Prime - GDB *
68^82: Prime - GDB *
76^78: Prime - GDB *
76^80: Prime - EDH *
77^73: Prime - GDB *
77^79: Prime - GDB *
77^81: Prime - GDB *
88^64: Prime - RCH *
88^70: Prime - GDB *
92^76: Prime - GDB *
94^74: Prime - GDB *
96^80: Prime - GDB *
103^79: Cycle - GDB *
105^71: Prime - GDB *
105^73: Prime - GDB *
107^71: Prime - GDB *
109^75: Prime - GDB *
113^75: Prime - GDB *
127^71: Prime - GDB *
127^73: Prime - OKR *
131^63: Prime - GDB *
131^67: Prime - GDB *
137^71: Prime - GDB *
137^73: Prime - GDB *
139^63: Prime - GDB * 
149^63: Prime - GDB * 
149^71: Prime - GDB * 
151^63: Prime - GDB *
151^65: Prime - GDB *
151^73: Prime - GDB *
173^73: Prime - GDB *
191^59: Prime - GDB *
191^63: Prime - GDB *
193^65: Prime - GDB *
197^67: Prime - GDB *
197^79: Prime - GDB *
210^64: Prime - A *
211^65: Prime - GDB *
220^66: Prime - GDB *
223^55: Prime - GDB *
223^59: Prime - GDB *
223^63: Prime - GDB *
284^62: Prime - GDB *
338^61: Prime - GDB *
564^56: Prime - GDB *
720^54: Prime - GDB *
1058^50: Prime - KRB *
1152^42: Prime - GDB *
1152^44: Prime - GDB *
1250^49: Prime - GDB *
15472^40: Prime - GDB *

[gd_barnes]

A couple of issues on the web page updates:

48^92 should be terminated by me instead of Yoyo.

24^110 should be terminated. It was terminated yesterday and made it on to Ed's list this morning (U.S.). Perhaps you took a snapshot of the list before he updated it.

Thank you for this massive update! :-)

[garambois]

Originally Posted by gd_barnes

48^92 should be terminated by me instead of Yoyo.

Please, I don't understand this message : unless I'm mistaken, 48^92 is indeed ended by you on the page, right ?

[EdH]

Originally Posted by garambois

This is huge, a lot of thanks !

Right now my primes list for >10^9, which is uniques* for each base and multiples across is 331.3 MB, with 9615120 primes.

Whittled down to multiples across two+ bases, that list is 6.5MB, with 174161 primes, but most of those are due to merges.

Originally Posted by garambois

. . .
Added bases : 227, 229 and 233.
. . .

All these new bases will not be represented in my primes list work, yet.

* in this case unique means a prime is represented only once for a base, even though it shows up multiple times within that base. As of yet, I haven't noticed any primes that show up multiple times within a single base AND within another base.

[gd_barnes]

Originally Posted by garambois

Please, I don't understand this message : unless I'm mistaken, 48^92 is indeed ended by you on the page, right ?

Oops. You are correct. I was looking at 48^82. I get that mixed up all the time. Mea culpa. :-)