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Forum: Aliquot Sequences 2020-07-11, 19:39
Replies: 365
Views: 15,974
Posted By garambois
Thank you very much ! Good luck in your quest....

Thank you very much !
Good luck in your quest.


And don't forget to look at the Neowise Comet, it can be seen with the naked eye (but it's very low on the horizon !) :...
Forum: Aliquot Sequences 2020-07-11, 17:51
Replies: 365
Views: 15,974
Posted By garambois
OK, page updated. Base 30 added. A lot of...

OK, page updated.
Base 30 added.

A lot of thanks to all.

The next update will not occur until early August.
Forum: Aliquot Sequences 2020-07-11, 16:21
Replies: 365
Views: 15,974
Posted By garambois
Thank you very much Happy5214. I suspected it...

Thank you very much Happy5214.
I suspected it was already known !

I continue my analysis to try to find something else on the other bases and also on a number of iterations greater than 1 to go...
Forum: Aliquot Sequences 2020-07-11, 11:39
Replies: 365
Views: 15,974
Posted By garambois
I think I've come up with a new conjecture ! But...

I think I've come up with a new conjecture ! But I would be very surprised if the experts working on the factorization of Mersenne numbers did not know this conjecture !
Thank you for keeping me...
Forum: Aliquot Sequences 2020-07-11, 09:29
Replies: 365
Views: 15,974
Posted By garambois
Many thanks for all Ed ! I downloaded all...

Many thanks for all Ed !

I downloaded all the files.
And I'm very happy to learn that our programs are giving the same results !

But what surprises me is that the data analysis I'm doing for a...
Forum: Aliquot Sequences 2020-07-10, 15:39
Replies: 365
Views: 15,974
Posted By garambois
Yes, I'm still interested in the...

Yes, I'm still interested in the abundance/deficiency charts. But until base 28, that will be more than enough, no need to go any further.
Thank you very much !

Please, can you check with some...
Forum: Aliquot Sequences 2020-07-10, 12:55
Replies: 365
Views: 15,974
Posted By garambois
Ok, thanks a lot. I change that in tomorrow's...

Ok, thanks a lot.
I change that in tomorrow's update...

Yes, on reflection, I also agree with you that our computers are not yet able to do the work up to 160 figures in a reasonable time ...
Forum: Aliquot Sequences 2020-07-10, 12:51
Replies: 365
Views: 15,974
Posted By garambois
a) No, in my opinion, we don't need to...

a) No, in my opinion, we don't need to distinguish between prime numbers at the end of sequences and others here. This study is done with the other program.
I just finished writing the program...
Forum: Aliquot Sequences 2020-07-10, 08:07
Replies: 0
Views: 48
Posted By garambois
The infinite graph of the aliquots sequences

For a few years, I have also been working on the infinite graph of the aliquot sequences. (see the graph (http://www.aliquotes.com/graphinfinisuali.pdf)).
There are a lot of open questions about...
Forum: Aliquot Sequences 2020-07-10, 07:12
Replies: 365
Views: 15,974
Posted By garambois
1) It is best if you sort the prime numbers in...

1) It is best if you sort the prime numbers in ascending order in the table. But maybe that's too much work ? No problem if it's too much work, I'll be able to program the sorting myself, because I...
Forum: Aliquot Sequences 2020-07-10, 06:47
Replies: 365
Views: 15,974
Posted By garambois
1) No, I never entered this data into factordb....

1) No, I never entered this data into factordb. But calculating all open-ends up to 10M up to 50 digits should only take a few hours or days...
What takes time in building up my database is the fact...
Forum: Aliquot Sequences 2020-07-09, 21:06
Replies: 365
Views: 15,974
Posted By garambois
@RichD : OK, many thanks. I will add base...

@RichD :

OK, many thanks. I will add base 30 in the next update, in 2 or 3 days.



@Kar_bon :

Yes, this is impressive ! thank you for the link.
Forum: Aliquot Sequences 2020-07-09, 07:26
Replies: 365
Views: 15,974
Posted By garambois
The first array is finished. You can see it as...

The first array is finished.
You can see it as an attachment (.pdf version).

It is difficult to draw definite conclusions because we don't have a lot of sequences that end for large bases after...
Forum: Aliquot Sequences 2020-07-09, 06:57
Replies: 365
Views: 15,974
Posted By garambois
Take your time. As I said before, I'll be...

Take your time.
As I said before, I'll be working on this in August...


:smile:
Forum: Aliquot Sequences 2020-07-08, 20:05
Replies: 365
Views: 15,974
Posted By garambois
I have two questions: 1) Please, I'm...

I have two questions:



1) Please, I'm not sure I understand the meaning of :
l: greatest peak larger than first term 1 if yes and 0 if noWhy, in the case of 2^i, is it always worth 1 ?...
Forum: Aliquot Sequences 2020-07-08, 19:42
Replies: 365
Views: 15,974
Posted By garambois
I'll check it out, maybe even try to replicate...

I'll check it out, maybe even try to replicate your algorithm.
But I'm not sure I'll have the time to do all this before I go on holiday in a few days : there's nothing you can do against the...
Forum: Aliquot Sequences 2020-07-08, 14:18
Replies: 15
Views: 282
Posted By garambois
Yes, you can calculate B without calculating C,...

Yes, you can calculate B without calculating C, but it is infinitely longer in time.
The above method is by far the fastest, if you know the decomposition of A into prime factors.
The problem is...
Forum: Aliquot Sequences 2020-07-08, 12:51
Replies: 365
Views: 15,974
Posted By garambois
Thanks, Ed. I'll need a count of every prime...

Thanks, Ed.
I'll need a count of every prime number, the list alone is not enough !
For a given sequence, how many times have we had the two, three, five, seven...
For example, for the sequence...
Forum: Aliquot Sequences 2020-07-08, 12:30
Replies: 15
Views: 282
Posted By garambois
If A = 2^400000 * 5 = 2^400000 * 5^1 Then, C...

If A = 2^400000 * 5 = 2^400000 * 5^1
Then,
C = (2^(400000+1)-1 ) / (2-1) * ((5^(1+1)-1)) / (5-1)
And then, B = C - A


If A = 3^100000 * 11 = 3^100000 * 11^1
Then,
C = (3^(100000+1)-1 ) /...
Forum: Aliquot Sequences 2020-07-08, 09:51
Replies: 365
Views: 15,974
Posted By garambois
@ richs : OK, I'll make all the changes in the...

@ richs :
OK, I'll make all the changes in the next update, very soon...
A lot of thanks !



@ EdH :

Thank you very much for all your files.
Bases 2, 3, 5, 6 and 7 should do me for now.
Forum: Aliquot Sequences 2020-07-07, 08:15
Replies: 365
Views: 15,974
Posted By garambois
EdH, I'm very interested in your work ! ...

EdH,


I'm very interested in your work !
Could you please provide me with the files for all the bases ?
This is exactly the kind of work I started to do to examine the data.
Your data is very...
Forum: Aliquot Sequences 2020-06-29, 17:53
Replies: 365
Views: 15,974
Posted By garambois
OK, page updated. A lot of thanks to all for...

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

And once again, a big thank you to Karsten Bonath who sent me the modifications of the scripts.
I'm not comfortable in this area and if I...
Forum: Aliquot Sequences 2020-06-28, 16:53
Replies: 365
Views: 15,974
Posted By garambois
@ EdH : Okay, I'll make all the changes in the...

@ EdH :
Okay, I'll make all the changes in the next update, very soon...


@ Happy 5214 :
Yes, your last idea was also suggested to me by Karsten Bonath.
So the colors like now:
All: x...
Forum: Aliquot Sequences 2020-06-27, 09:36
Replies: 365
Views: 15,974
Posted By garambois
@richs : OK, Changes will be made at the next...

@richs :
OK, Changes will be made at the next update. Many thanks.


@Happy5214 :
What form of display would be most convenient for your needs ? Just like this :
"Open: 108 (108) (8) ➔ 43.03%"...
Forum: Aliquot Sequences 2020-06-23, 17:27
Replies: 365
Views: 15,974
Posted By garambois
For the moment, we see no need to specify the...

For the moment, we see no need to specify the number of Open-End sequences that merge with sequences from the "main project".
But if you say you need it, we could try to add it.
Do you confirm that...
Showing results 1 to 25 of 261

 
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