20200711, 20:33  #364  
"Ed Hall"
Dec 2009
Adirondack Mtns
3,373 Posts 
Quote:
For all a^{i} (a, i positive integers ≥ 1) s(a^{i}) is a factor of s(a^{(i*n)}) (for all positive n) Example: Code:
s(7^{3}) = 3 · 19 s(7^{(3*2)}) = 2^3 · 3 · 19 · 43 s(7^{(3*3)}) = 3^2 · 19 · 37 · 1063 . . . s(7^{(3*33)}) = 3^2 · 19 · 37 · 199 · 1063 · 1123 · 3631 · 173647 · 293459 · 1532917 · 12323587 · P44 . . . Code:
s(7^{(3*3)}) = 3^2 · 19 · 37 · 1063 . . . s(7^{(3*33)}) = 3^2 · 19 · 37 · 199 · 1063 · 1123 · 3631 · 173647 · 293459 · 1532917 · 12323587 · P44 Last fiddled with by EdH on 20200711 at 22:42 

20200713, 22:34  #365 
May 2009
Russia, Moscow
2^{2}×3^{3}×23 Posts 
If n=13 available for reservation I'd like to reserve range from l=80 to 120 digits.

20200714, 08:01  #366  
"Curtis"
Feb 2005
Riverside, CA
1127_{16} Posts 
Quote:
I'm not sure what you mean by "from 80 to 120 digits".... is that the starting size of the sequences, or that you want to take all remaining sequences to 120 digits that I haven't reserved? If you mean the latter, how about we split the rest of the sequences I'll take up to 13^78, you take 13^80 and up? 

20200715, 23:05  #367 
May 2009
Russia, Moscow
2^{2}·3^{3}·23 Posts 
I mean that I'll take all sequences from 13^80 to 13^106 and promote them to at least 120 digits. If this is OK for you then I'll start.

20200716, 02:42  #368 
"Curtis"
Feb 2005
Riverside, CA
4,391 Posts 

20200717, 20:29  #369 
"Rich"
Aug 2002
Benicia, California
1150_{10} Posts 
439^24 is now at i1448 (added over 1300 iterations with a good downdriver along the way) and a C121 level with a 2^2 * 3 * 5 * 7 guide, so I will drop this reservation. The remaining C118 term is well ecm'ed and is ready for NFS.
Reserving 439^26 at i373. 
20200719, 17:57  #370 
"Alexander"
Nov 2008
The Alamo City
3^{2}·43 Posts 
I've finished n=21 up to i=70, and I'll release those sequences. Right now, I'm going to fill in the first row of n=24 (only 3 sequences left).

20200721, 13:06  #371 
"Ed Hall"
Dec 2009
Adirondack Mtns
3,373 Posts 
@JeanLuc: My version of primes>1 listings are attached below for all the tables currently on the page. Although my listing has a different format from yours, the details in my base2primes listing contain those for your listing and they all appear to match. I've included all primes that show up more than once within a base, even the smaller ones. I haven't done a check for matching primes across bases.
Here's a brief example of my format compared to yours: base2primes: Code:
. . . prime 197748738449921 shows up 2 times (265, 530). prime 242099935645987 shows up 2 times (198, 396). prime 332584516519201 shows up 2 times (191, 382). . . . Code:
. . . base 2 prime 197748738449921 exponent 265 base 2 prime 197748738449921 exponent 530 base 2 prime 242099935645987 exponent 198 base 2 prime 242099935645987 exponent 396 base 2 prime 332584516519201 exponent 191 base 2 prime 332584516519201 exponent 382 . . . 
20200723, 02:40  #372 
"Ed Hall"
Dec 2009
Adirondack Mtns
3,373 Posts 
I went ahead and did all the preliminary work for base 30030. There are two merges:
Code:
30030^1:i1 merges with 22518:i4 30030^19:i841 merges with 41364:i4 Edit: I have decided to go ahead and turn all the transparent cells to a shade of orange. (I've crossed out 30030 in post 280.) Last fiddled with by EdH on 20200724 at 14:51 
20200725, 20:47  #373 
"Ed Hall"
Dec 2009
Adirondack Mtns
110100101101_{2} Posts 
Base 30030 is all colored in and I've attached the list of primes that appear more than once.

20200728, 22:39  #374 
"Ed Hall"
Dec 2009
Adirondack Mtns
3,373 Posts 
Row 520539 for base 2 has completely turned green (all run down to primes).
I am currently doing all the preliminary work for a table to be added for 2310. I'm not sure if I will color in the transparent cells or not (like before with 30030). 
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