An aliquot sequence with huge, huge, huge tracts of sand !!!

[garambois]

Hello everybody,


Christophe Clavier took up a challenge on my website www.aliquotes.com :

He found an aliquot sequence that is growing at each iteration by a factor at least equal to k=10 on 13 iterations !
The terms have more than 1900 digits and the guide is very, very huge !!!
Impossible to put this aliquot sequence on factordb...
If you want to see those 13 terms, click here :


http://www.aliquotes.com/k10_13.txt


Jean-Luc

[firejuggler]

Wow!
Gratz to him...
Now, onto the next challenge!

[henryzz]

This makes me wonder at a possible challenge. What is the driver with the largest power of two that someone can both lose and terminate?

[science_man_88]

Originally Posted by henryzz

This makes me wonder at a possible challenge. What is the driver with the largest power of two that someone can both lose and terminate?

here's a idea try and mutate my ali/aligen scripts to figure out the driver backwards as well and maybe I can try. I'm surprised I even know kinda what a driver is.

aligen41(w,s)=for(z=w,s,print("\n //ends in "z);for(x=1,#ali(z),for(y=1,#ali(ali(z)[x]),print(factor(ali(ali(z)[x])[y])"->"factor(ali(z)[x])))))

easy enough to get from the aligen40 script.

[kar_bon]

Originally Posted by garambois

Impossible to put this aliquot sequence on factordb...

It is possible: see here (will take some time to load), currently at index 14 with a C136 left.

[schickel]

Originally Posted by kar_bon

It is possible: see (will take some time to load), currently at index 14 with a C136 left.

Heh, I wondered why the seed number was factored already. Unfortunately, we can't download it as an .elf file. Can Aliqueit handle it? Anybody up for the c136?

Also, if you've read this note, this sequence will increase for the first 5092 lines, at a minimum. Of course, after that, the driver is going to be a bit of a headache to escape.

I've managed to coax the first 150 lines out of the DB; it's actually pretty easy, just feed it a 2 plus the big factor for each line and it figures things out pretty quick.

[garambois]

Originally Posted by kar_bon

It is possible: see here (will take some time to load), currently at index 14 with a C136 left.

How did you do to put this sequence on db ?
I tried, but it was not possible ?
You went on "Report results " and "Report factors" and you made a copy-paste ?
Because, I have other aliquot sequences from Chritophe Clavier to put on db...
Jean-Luc

[schickel]

Originally Posted by garambois

How did you do to put this sequence on db ?
I tried, but it was not possible ?
You went on "Report results " and "Report factors" and you made a copy-paste ?
Because, I have other aliquot sequences from Chritophe Clavier to put on db...
Jean-Luc

Jean-Luc,

Yes, to load a sequence into the DB, you can just paste the text file of the sequence into the "Report Results"->"Report Factors" box.

If you leave it set to "Autodetect", the DB will detect the composite and the factors on each line and enter them into the DB. When you query the seed number of the sequence, it will "realize" the factors for each line are available and build the sequence up as far as it knows factors for.

[Andi_HB]

I have uploadet the composite numbers from this sequence because it wondered me why this can`t uploadet to the db.
To upload the numbers i took the composite in the db under search http://factordb.com/index.php and click factorize! ;-)
The number is in the db then and i have sumbmitted the known factors.

Regards Andi_HB

[Andi47]

From the FactorDB, sequence 2^19936*(2^19937-1)*27:

<snipped the "checked"'s for better readability>

486 	12075 	2723122910...2<12075> = 2^19936 · 29^2 · 3477395904...7<69> · 4315424797...1<6002>
487 	12075 	2917400407...4<12075> = 2^19936 · 3^2 · 29 · 17460561103408083236887015504720307<35> · 68751191016059342858040063918001477<35> · 4315424797...1<6002>
488 	12075 	5801267476...6<12075> = 2^19936 · 3^2 · 109 · 389 · 433 · 3770502861...3<64> · 4315424797...1<6002>
489 	12076 	1119434242...4<12076> = 2^19936 · 3 · 41 · 25709153 · 3801794144...1<63> · 4315424797...1<6002>

How on earth have these p6x's been found?

edit: I guess they just reported the huge factor...

[schickel]

Originally Posted by Andi47

From the FactorDB, sequence 2^19936*(2^19937-1)*27:

Checked 	486 	12075 (show) 	2723122910...2<12075> = 2^19936 · 29^2 · 3477395904...7<69> · 4315424797...1<6002>
Checked 	487 	12075 (show) 	2917400407...4<12075> = 2^19936 · 3^2 · 29 · 17460561103408083236887015504720307<35> · 68751191016059342858040063918001477<35> · 4315424797...1<6002>
Checked 	488 	12075 (show) 	5801267476...6<12075> = 2^19936 · 3^2 · 109 · 389 · 433 · 3770502861...3<64> · 4315424797...1<6002>
Checked 	489 	12076 (show) 	1119434242...4<12076> = 2^19936 · 3 · 41 · 25709153 · 3801794144...1<63> · 4315424797...1<6002>

How on earth have these p6x's been found??

Or is there any other method to find this factors?

Look at the last factor on each line: notice anything?