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-   -   Aliquot sequences that start on the integer powers n^i (https://www.mersenneforum.org/showthread.php?t=23612)

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[/CODE]

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... :razz: 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=LaurV;498121]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... :razz: 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.[/QUOTE]

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 "[URL="http://www.aliquotes.com/aliquotes_puissances_entieres.html"]Aliquot sequences starting on integer powers n^i[/URL]".

:smile:

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: [URL="http://factordb.com/aliquot.php?type=1&aq=6&pow=146"]Stone drop[/URL]...)


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