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Forum: Aliquot Sequences 2021-04-13, 12:00
Replies: 3,440
Views: 316,595
Posted By garambois
Update 2206520

Update 2206520
Forum: Aliquot Sequences 2021-04-13, 07:25
Replies: 1,080
Views: 86,936
Posted By garambois
OK, I have an exponent k : k = 3^8 * 5^7 *...

OK, I have an exponent k :
k =
3^8 * 5^7 * 7^5 * 11^4 * 13^4 * 17^3 * 19^3 * 23^2 * 29^3 * 31^2 * 37^3 * 41^2 * 43^2 * 47^2 * 53^2 * 59^2 * 61^2 * 67^2 * 71^2 * 73^2 * 79^2 * 83^2 * 89^2 * 97^2...
Forum: Aliquot Sequences 2021-04-12, 15:55
Replies: 20
Views: 475
Posted By garambois
Unfortunately, I don't have the maximum heights...

Unfortunately, I don't have the maximum heights reached by the sequences in my files !

Reminder : here is a line for a sequence of the file "regina_file"
[n, a, b, c, d, e, f, g, h, i, j, k, l,...
Forum: Aliquot Sequences 2021-04-12, 12:54
Replies: 20
Views: 475
Posted By garambois
There is no reason for me to change this format. ...

There is no reason for me to change this format.
The only thing I risk doing is adding a variable "o" in each line which will be the geometric mean of the quotients of the successive terms of the...
Forum: Aliquot Sequences 2021-04-11, 15:45
Replies: 1,080
Views: 86,936
Posted By garambois
OK, Many thanks. This information will be taken...

OK, Many thanks.
This information will be taken into account in the next update.




I had greatly underestimated the computation time required to build the new exponent.
But this time, I...
Forum: Aliquot Sequences 2021-04-08, 17:42
Replies: 1,080
Views: 86,936
Posted By garambois
Page updated. Many thanks to all for your help...

Page updated.
Many thanks to all for your help !

I extended almost thirty bases, because yoyo had done a lot of calculations that did not appear on the page.
I also extended some bases that were...
Forum: Aliquot Sequences 2021-04-07, 10:20
Replies: 1,080
Views: 86,936
Posted By garambois
One new conjecture This new conjecture...

One new conjecture


This new conjecture completes and replaces conjectures (134) and (135) (https://www.mersenneforum.org/showpost.php?p=572872&postcount=921).
k is an integer.


...
Forum: Aliquot Sequences 2021-04-06, 07:23
Replies: 1,080
Views: 86,936
Posted By garambois
If we try to guess : 1e5 : abundance = 0.806 ...

If we try to guess :
1e5 : abundance = 0.806
1e6 : abundance = 0.877
1e7 : abundance = 0.921
1e9 : abundance = 0.964
1e13 : abundance =1

No one will be able to test the exponent j for d with...
Forum: Aliquot Sequences 2021-04-05, 17:28
Replies: 1,080
Views: 86,936
Posted By garambois
39 MB of factors !!! Sorry, I didn't know the...

39 MB of factors !!!
Sorry, I didn't know the amount would be so impressive !
I don't know if we're still in the realm of reason, but on the other hand, we don't seem very far off the mark.
It is...
Forum: Aliquot Sequences 2021-04-05, 07:13
Replies: 1,080
Views: 86,936
Posted By garambois
Thank you warachwe for these new explanations. ...

Thank you warachwe for these new explanations.
Some things seem clearer to me now, and I will be able to further refine my research for exponents.
(I understood of course that it was necessary to...
Forum: Aliquot Sequences 2021-04-05, 06:34
Replies: 20
Views: 475
Posted By garambois
Thank you for the answer. I agree ! I will...

Thank you for the answer.
I agree !
I will also be working on this soon !
Forum: Aliquot Sequences 2021-04-04, 20:09
Replies: 1,080
Views: 86,936
Posted By garambois
I would like to share with you here some results...

I would like to share with you here some results that I obtained after several hours of testing with Oliver's program.
My first work was to try out several odd bases (prime numbers and composite...
Forum: Aliquot Sequences 2021-04-04, 19:08
Replies: 1,080
Views: 86,936
Posted By garambois
Yes, that would be very interesting, if it is not...

Yes, that would be very interesting, if it is not too complicated ?

Because I'm having trouble testing the abundance of very large divisors d !
You will be able to see in my next post which will...
Forum: Aliquot Sequences 2021-04-04, 18:59
Replies: 1,080
Views: 86,936
Posted By garambois
OK, I will add this merge in the next update....

OK, I will add this merge in the next update. Thank you very much.
Forum: Aliquot Sequences 2021-04-03, 17:18
Replies: 1,080
Views: 86,936
Posted By garambois
PERFECT ! Many thanks Edwin !

PERFECT !
Many thanks Edwin !
Forum: Aliquot Sequences 2021-04-03, 14:23
Replies: 1,080
Views: 86,936
Posted By garambois
Thank you very much Oliver for those...

Thank you very much Oliver for those explanations.
I fear that my essays on bases 3, 5, 17 and especially 21 (what a crazy base !) will cause me to reach the limits of my computer hardware and my...
Forum: Aliquot Sequences 2021-04-03, 14:12
Replies: 1,080
Views: 86,936
Posted By garambois
OK, thank you very much Alexander for all of your...

OK, thank you very much Alexander for all of your help.
The page is finally accessible from my website and I am very happy to have this new page which recapitulates all the conjectures !
To access,...
Forum: Aliquot Sequences 2021-04-02, 13:27
Replies: 1,080
Views: 86,936
Posted By garambois
Everything seems to be working very, very well. ...

Everything seems to be working very, very well.
On the other hand, this leads me to ask you a question before continuing my tests :
Please, what is the size limit for the exponents ?
Because...
Forum: Aliquot Sequences 2021-04-01, 17:44
Replies: 1,080
Views: 86,936
Posted By garambois
OK, many thanks Oliver. Everything seems to...

OK, many thanks Oliver.
Everything seems to work perfectly !
I will be doing some testing over the next week and will let you know if I have any problems.
Just a detail, I am unable to run the...
Forum: Aliquot Sequences 2021-04-01, 17:12
Replies: 20
Views: 475
Posted By garambois
OK, I'll try to add that over the next few weeks....

OK, I'll try to add that over the next few weeks.
I just realized that the geometric mean of the quotients of the successive terms can be written in a fairly simple way.
Indeed, if n is the...
Forum: Aliquot Sequences 2021-03-31, 17:19
Replies: 1,080
Views: 86,936
Posted By garambois
Sorry, I just realized that I forgot to attach...

Sorry, I just realized that I forgot to attach the file in post #1045 !
Here it is ...
Forum: Aliquot Sequences 2021-03-31, 16:15
Replies: 1,080
Views: 86,936
Posted By garambois
Yes, this is exactly what we need ! Of course,...

Yes, this is exactly what we need !
Of course, I understood that your program is to be used only for very very large exponents.
And of course, we will never have full factorization in these extreme...
Forum: Aliquot Sequences 2021-03-31, 15:36
Replies: 1,080
Views: 86,936
Posted By garambois
Thank you very much Oliver ! I manage to get...

Thank you very much Oliver !
I manage to get the program to work and it seems to work even with bases that are not prime numbers.
The program is remarkably fast.
I did several tests. I will be...
Forum: Aliquot Sequences 2021-03-31, 13:39
Replies: 1,080
Views: 86,936
Posted By garambois
OK, done. OK, done. Please, if...

OK, done.




OK, done.
Please, if someone can check the proofs of conjectures (2) and (138), if it fits like this ?
I still left the links to the posts.
Moreover, I don't know how we...
Forum: Aliquot Sequences 2021-03-28, 12:07
Replies: 1,080
Views: 86,936
Posted By garambois
OK. What do you think of this page for...

OK.
What do you think of this page for publication on my website, as an attached file ?
I hope I haven't sabotaged your page with my edits !
PS : I draw your attention to the conjectures...
Showing results 1 to 25 of 551

 
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