Aliquot sequences that start on the integer powers n^i - Page 4

RichD · 2018-10-15, 20:19

13^79 terminates with a p13.

richs · 2018-10-15, 22:34

6^93 aliqueit:

Code:

Verifying index 98... Sequence merges with earlier sequence
1964525685310696048861640520577309969855714580014343466931029624497848886 = 2 * 61 * 6343 * 224951 * 432261855658664827 * 26107682809895863587997006586579985155412533

LaurV · 2018-10-16, 07:52

It means nothing, you must continue it until it ends or you are getting bored of it. Aliqueit gives this message when a term lower than the starting term is reached (which makes sense when we work all sequences from 0 to 3M in order, as we usually do, we merge the higher sequence into the lower one, but in this context, unless we are going to work all sequences starting with 73 digits...

we do not know what the lower sequence does, so it makes no sense to stop here).

Aliqueit has a continuation switch that allows it to continue working in this case, use it.

kar_bon · 2018-10-16, 11:13

11^14 terminates in p=41

After reaching the 120-digit level at index 1000 (with a 2^4) I decided to continue and getting the downdriver at index 1008. Lucky falling for more than 110 digits after a small increase.

richs · 2018-10-16, 13:17

Quote:

Originally Posted by LaurV

It means nothing, you must continue it until it ends or you are getting bored of it. Aliqueit gives this message when a term lower than the starting term is reached (which makes sense when we work all sequences from 0 to 3M in order, as we usually do, we merge the higher sequence into the lower one, but in this context, unless we are going to work all sequences starting with 73 digits...

we do not know what the lower sequence does, so it makes no sense to stop here).

Aliqueit has a continuation switch that allows it to continue working in this case, use it.

I had not reserved 6^93; I was using it to play with aliqueit on a number with a fair number of digits. Just found it interesting.

MisterBitcoin · 2018-10-16, 20:30

Drop 12^75, C108 cofactor not ECM´ed.

garambois · 2018-10-21, 17:32

All is done.
Thank you for your help !

garambois · 2018-10-25, 08:38

I would like to thank a lot Karsten Bonath once again.
He has further improved the page by adding tooltips that show aliquot sequence merges.

Now, the page contains even more information about "Aliquot sequences starting on integer powers n^i".

RichD · 2018-10-25, 11:47

12^94 terminates with a p74.

kar_bon · 2018-10-25, 14:13

12^88 and 12^96 terminate

Merge for n=12^35
35 380 3876:i5

LaurV · 2018-10-26, 10:40

I have just seen (and factored) the C112 which enabled the termination of 6^146. (edit: Stone drop...)

2018-10-16, 07:52	#36
LaurV Romulan Interpreter "name field" Jun 2011 Thailand 10,273 Posts	It means nothing, you must continue it until it ends or you are getting bored of it. Aliqueit gives this message when a term lower than the starting term is reached (which makes sense when we work all sequences from 0 to 3M in order, as we usually do, we merge the higher sequence into the lower one, but in this context, unless we are going to work all sequences starting with 73 digits... we do not know what the lower sequence does, so it makes no sense to stop here). Aliqueit has a continuation switch that allows it to continue working in this case, use it. Last fiddled with by LaurV on 2018-10-16 at 07:55

2018-10-26, 10:40	#44
LaurV Romulan Interpreter "name field" Jun 2011 Thailand 10,273 Posts	I have just seen (and factored) the C112 which enabled the termination of 6^146. (edit: Stone drop...) Last fiddled with by LaurV on 2018-10-26 at 10:42

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Broken aliquot sequences	fivemack	FactorDB	46	2021-02-21 10:46
Broken aliquot sequences	schickel	FactorDB	18	2013-06-12 16:09
A new theorem about aliquot sequences	garambois	Aliquot Sequences	34	2012-06-10 21:53
poaching aliquot sequences...	Andi47	FactorDB	21	2011-12-29 21:11
New article on aliquot sequences	schickel	mersennewiki	0	2008-12-30 07:07

2018-10-15, 20:19	#34
RichD Sep 2008 Kansas EDA₁₆ Posts	13^79 terminates with a p13.

2018-10-16, 11:13	#37
kar_bon Mar 2006 Germany 2,999 Posts	11^14 terminates in p=41 After reaching the 120-digit level at index 1000 (with a 2^4) I decided to continue and getting the downdriver at index 1008. Lucky falling for more than 110 digits after a small increase.

2018-10-16, 20:30	#39
MisterBitcoin "Nuri, the dragon :P" Jul 2016 Good old Germany 2×443 Posts	Drop 12^75, C108 cofactor not ECM´ed.

2018-10-21, 17:32	#40
garambois "Garambois Jean-Luc" Oct 2011 France 3×359 Posts	All is done. Thank you for your help !

2018-10-25, 08:38	#41
garambois "Garambois Jean-Luc" Oct 2011 France 3·359 Posts	I would like to thank a lot Karsten Bonath once again. He has further improved the page by adding tooltips that show aliquot sequence merges. Now, the page contains even more information about "Aliquot sequences starting on integer powers n^i".

2018-10-25, 11:47	#42
RichD Sep 2008 Kansas 111011011010₂ Posts	12^94 terminates with a p74.

2018-10-25, 14:13	#43
kar_bon Mar 2006 Germany 2999₁₀ Posts	12^88 and 12^96 terminate Merge for n=12^35 35 380 3876:i5