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Forum: Aliquot Sequences 2020-07-11, 20:33
Replies: 366
Views: 16,028
Posted By EdH
Does this apparent observation fit in with a...

Does this apparent observation fit in with a similar theorem?

For all ai (a, i positive integers ≥ 1)
s(ai) is a factor of s(a(i*n)) (for all positive n)

Example:

s(73) = 3 · 19
s(7(3*2))...
Forum: Aliquot Sequences 2020-07-11, 18:16
Replies: 366
Views: 16,028
Posted By EdH
Have a great trip! I'll see if I can form some...

Have a great trip! I'll see if I can form some intriguing questions while you're away.:smile:
Forum: Aliquot Sequences 2020-07-10, 17:45
Replies: 366
Views: 16,028
Posted By EdH
Here are bases 15 through 28:

Here are bases 15 through 28:
Forum: Aliquot Sequences 2020-07-10, 17:42
Replies: 366
Views: 16,028
Posted By EdH
Here are bases 10 through 14:

Here are bases 10 through 14:
Forum: Aliquot Sequences 2020-07-10, 17:02
Replies: 366
Views: 16,028
Posted By EdH
I added the prefix you used to my output lines...

I added the prefix you used to my output lines and ran the entire base 2 as you did. My result file was identical to yours according to diff. I would say, both our programs have been validated, or...
Forum: Aliquot Sequences 2020-07-10, 14:21
Replies: 366
Views: 16,028
Posted By EdH
I, too, have a working program/script that now...

I, too, have a working program/script that now includes sorting. But, if you already have something working, I won't bother uploading files that may be too large anyway.:smile:

Are you still...
Forum: Aliquot Sequences 2020-07-10, 12:02
Replies: 366
Views: 16,028
Posted By EdH
2) This does cause further questions I had not...

2) This does cause further questions I had not considered earlier:

a - Does a large termination prime appear earlier as a factor?
b - Do termination primes appear in other sequences in an...
Forum: Aliquot Sequences 2020-07-10, 02:06
Replies: 366
Views: 16,028
Posted By EdH
I have a script to do what you've shown above: ...

I have a script to do what you've shown above:
2^10 matches yours (except for order*):

[[2, 13], [3, 4], [7, 4], [11, 1], [31, 1], [19, 1], [41, 1]]
and, 5^4 shows the following:

[[2, 13],...
Forum: Aliquot Sequences 2020-07-09, 22:03
Replies: 366
Views: 16,028
Posted By EdH
@garambrois: Does this mean all the sequences...

@garambrois: Does this mean all the sequences <10M are represented in factordb at >= 50 dd? I believe they would be updated gradually by the "elves" only when accessed, but any access would move...
Forum: Aliquot Sequences 2020-07-09, 16:29
Replies: 366
Views: 16,028
Posted By EdH
This is impressive! I remember some of it from...

This is impressive! I remember some of it from much longer ago, when the genealogy thread was active. Does 43 appear to be the most common termination at higher numbered sequences (>1M), as well?
...
Forum: Aliquot Sequences 2020-07-09, 16:06
Replies: 366
Views: 16,028
Posted By EdH
Here are corrected statistics for bases 2-7:

Here are corrected statistics for bases 2-7:
Forum: Aliquot Sequences 2020-07-08, 21:29
Replies: 366
Views: 16,028
Posted By EdH
1) I have something wrong for that value. It is...

1) I have something wrong for that value. It is not always 1, but there are 60 sequences (2^1 - 2^539) where a peak exceeds the initial term. For example, see 2^12:

0 . 4096 = 2^12
1 . 4095...
Forum: Aliquot Sequences 2020-07-08, 15:32
Replies: 366
Views: 16,028
Posted By EdH
I will work on this, but it might be a little bit...

I will work on this, but it might be a little bit before I have it complete.

Meanwhile, I am attaching bases 2 - 7 statistics with the new format. I added 2 (prime) and 3 (cycle) to the c...
Forum: Aliquot Sequences 2020-07-08, 11:19
Replies: 366
Views: 16,028
Posted By EdH
This should be fairly simple. I have the...

This should be fairly simple. I have the programs/scripts written and .elfs saved. I just need to modify some things.

I'll skip open sequences for now, since you mention it for later work. That...
Forum: Aliquot Sequences 2020-07-07, 18:24
Replies: 366
Views: 16,028
Posted By EdH
Here's a current run for the base 2 table: ...

Here's a current run for the base 2 table:

Edit: Added bases 3, 5 and 6:

Edit2: Added base 7:

Edit3: I have noticed a flaw! For open sequences that are currently riding an abundant...
Forum: Aliquot Sequences 2020-07-07, 17:04
Replies: 366
Views: 16,028
Posted By EdH
Latest Data Harvesting

Here's of an example of my latest play. I'm showing 8128^1 through 8128^5, because this range shows all three endings (Cycle, Prime, Open):

Statistics for Sequences in Base 8128 Table

Stats...
Forum: Aliquot Sequences 2020-07-07, 13:41
Replies: 366
Views: 16,028
Posted By EdH
Jean-Luc, I can provide all the tables in a...

Jean-Luc,

I can provide all the tables in a "relatively" short time, but I was waiting to see what other data might be of interest before completing a full run. I have some additions I'm working...
Forum: Aliquot Sequences 2020-07-06, 17:12
Replies: 366
Views: 16,028
Posted By EdH
I have been playing with some programs/scripts to...

I have been playing with some programs/scripts to harvest some statistics from the sequences within the tables. Here is a sample of some individual statistics from the base 8128 table:

Stats for...
Forum: EdH 2020-07-03, 22:00
Replies: 12
Views: 269
Posted By EdH
Well, let's look at a system here that works with...

Well, let's look at a system here that works with GMP-6.1.2. I have this structure:

<$HOME>/Math/gmp/ - - - this is the folder in which I compiled GMP
<$HOME/>Math/Aliqueit/src/aliqueit/ - - -...
Forum: Aliquot Sequences 2020-07-03, 21:36
Replies: 563
Views: 31,387
Posted By EdH
No promises, since I'm really just a dabbler in...

No promises, since I'm really just a dabbler in lots of languages, but I am looking over the code to see if it's something I might be capable of solving. I can already see a couple things I need to...
Forum: Tales From the Crypt(o) 2020-07-03, 16:50
Replies: 17
Views: 509
Posted By EdH
I have a c156 under way that is projected to take...

I have a c156 under way that is projected to take 37 wall clock hours total, with 25 of those on a single ancient i7 running LA. So, polyselect and sieving took 12 hours to complete across several...
Forum: EdH 2020-07-01, 22:59
Replies: 12
Views: 269
Posted By EdH
As long as you used "sudo make install," you...

As long as you used "sudo make install," you shouldn't need to change any of the gmp references in the Makefile. Having said that, though, I notice I do have paths to the directory where I compiled...
Forum: EdH 2020-07-01, 21:43
Replies: 12
Views: 269
Posted By EdH
Just out of curiosity, does your Makefile have...

Just out of curiosity, does your Makefile have the following lines with the same order:?

aliqueit: $(OBJ)
$(CC) $(CFLAGS) $(OBJ) $(LIBS) -o aliqueit
A long time ago, two of these were...
Forum: Aliquot Sequences 2020-07-01, 21:40
Replies: 563
Views: 31,387
Posted By EdH
Thanks! That's what I was thinking, but wanted...

Thanks! That's what I was thinking, but wanted to verify before I did any code changes. I might have been missing something.
Forum: EdH 2020-07-01, 21:28
Replies: 12
Views: 269
Posted By EdH
I'm going to have to think about this one. I...

I'm going to have to think about this one. I have not had this trouble with any of my machines that I recently worked with - over 20. You must have done "sudo make install" for gmp, if you compiled...
Showing results 1 to 25 of 1000

 
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