Aliquot sequences that start on the integer powers n^i

[sweety439]

Originally Posted by garambois

On my website, I wrote a page that summarizes my work on aliquot sequences starting on integer powers n^i. This page summarizes the results and reservations for each aliquot sequences one has chosen to calculate.

See this page.

If someone in this forum also wants to calculate these aliquot sequences with me, he can indicate it to me here and I note his name in the cells of my page to reserve him the integer powers of his choice.
He will then have to enter the results into factordb and let me know so that I can fill and color the cells of the array as appropriate.

Note : For open-end aliquot sequences, I stop at 10^120 (orange color cells).

Why stop at 11? I suggest stop at 24

Now, I am running 12 and 13

(also, I have run 2^n-1 and 2^n+1 for n<=64)

[sweety439]

Originally Posted by sweety439

Why stop at 11? I suggest stop at 24

Now, I am running 12 and 13

(also, I have run 2^n-1 and 2^n+1 for n<=64)

Why you ran large prime (10^10+19)?

Now I am running 439

[MisterBitcoin]

Taking 3^190.

[richs]

Taking 6^153

[garambois]

OK, Updated.

1) kar_bon, n=6 updated.

2) sweety439, OK, n=12, n=13 and n=439 have been added.
I'll add n superiors when they're booked.
I ran a large prime number (10^10+19) just to see if the behavior is very different from the one with the small prime numbers.

3) MisterBitcoin : OK, done, but read point N°5)

4) richs : OK, done

5) I have tried to make the table that gives the definitions clearer on the page.
The previous explanations did not make it clear that if there is a name code, the aliquot sequence is already reserved.
I hope that with these new explanations, it's more understandable !

Thanks to all for your help !

[MisterBitcoin]

Sequence 3^190 lost his driver 2^2.

Meeh. Now at 306. GNFS was a bit faster. ^^



Drop 3^190


Take 12^72 12^73 12^74 12^75 12^76



Note: There was no need to add n=12; 13 and 439. These are normal sweety thinks.

Note 2: I´m not blind, but the older version was a bit .....misunderstand-able.

[MisterBitcoin]

12^72 terminates
12^74 terminates


Sequence 12^72 terminated at index 56 with the prime 742289.
Sequence 12^74 terminated at index 9 with an P44.

[MisterBitcoin]

12^76 terminates at index 67 with P11.
12^78 terminates
12^80 terminates



Take 12^77 12^78 12^79 12^80

[MisterBitcoin]

Terminations


12^82 (anonym)
12^84 (anonym)
12^86 (by me)

[RichD]

11^103 terminates - with a p72.

[garambois]

OK, that's all done.
Please report any booking errors to me.
Thank you for your help.