Aliquot sequences that start on the integer powers n^i - Page 16

garambois · 2019-02-03, 07:53

Quote:

Originally Posted by ricky

Hi, I noticed that in sequence 3^108, in factordb, the 1575th term is wrong. Can somebody correct it?

It should be 15540084064757285981320 instead of 15539970862145288285320.

I've written the factordb thread.

Yes, I also reported this error here :

https://www.mersenneforum.org/showth...t=19737&page=3

And Karsten Bonath here :

https://www.mersenneforum.org/showth...=23612&page=10

Hopefully someone can fix it !

garambois · 2019-02-03, 09:35

OK, page updated.
Thank you to all.
There are indeed a few more colors on the page !

My own calculations :
3^208-214-222-224 up to 120 digits.

That's right, the project goal is to search these sequences to 120 digits.
Ideally, all cells should be green.
But it is not physically possible to push the calculations so far in a reasonable time. 120 digits is a good compromise.
I noticed that LaurV is pushing the calculations a lot further !
Congratulations !

It is only for base 2 that we can have green cells for all powers ! What would be extraordinary would be to find an aliquot sequence starting on a power of 2 and that would be Open-End ! You've all noticed that powers of 2 go up to 500. The calculations become very long. I will continue these calculations to turn all the cells green.
Then, I think it will be very interesting to extend the powers beyond 500.
If someone wants to calculate the aliquot sequences that start with 2^501, 2^502 or more, he can already book them. We are sure that these aliquot sequences will go down to a prime number, because from the first iteration, we must obtain odd numbers.
EXCEPT if further on, we had to have a big surprise and if we had to find an even term during the calculations, and then if we had to have terms with a driver !

richs · 2019-02-05, 15:48

Quote:

Originally Posted by richs

I'm still plugging away at 439^34.

Dropping 439^34 after adding over 2100 terms. Current C115 cofactor at i2124 is fully ECM'ed.

garambois · 2019-02-08, 18:20

OK, page updated.
Thank you to all.

My own calculations :
3^220-226-230 up to 120 digits.

The next update will be done on the weekend of February 23rd and 24th.

richs · 2019-02-12, 15:16

Reserving 439^18

garambois · 2019-02-24, 12:00

OK, page updated.
Thank you to all.

My own calculations :
2^500 finished on a P29.
The calculations for the powers of 2 are very long !

VBCurtis · 2019-02-25, 19:09

Taking 13^18 and 13^20.

VBCurtis · 2019-02-28, 04:05

.. that was quick.
Unreserving 13^18. The C120 cofactor has been ECMed to t35, nearly enough.
I have a new appreciation for the power of 2^3*3*5 to rapidly drive a sequence.

garambois · 2019-03-03, 10:00

OK, page updated.
Thank you to all.

My own calculations :
2^496 finished on a P146 !!!

garambois · 2019-03-17, 13:08

OK, page updated.
Thank you to all.

My own calculations :
2^492 not yet finished despite 8 threads constantly calculating on it !

VBCurtis · 2019-03-17, 22:42

13^12 released.
162 digits, C160 that withstood 2t45 ECM.
2^3*3*5 driver, thing went straight up after a nice downdriver run.

Taking 13^22.

2019-03-17, 22:42	#176
VBCurtis "Curtis" Feb 2005 Riverside, CA 2²·1,319 Posts	13^12 released. 162 digits, C160 that withstood 2t45 ECM. 2^335 driver, thing went straight up after a nice downdriver run. Taking 13^22. Last fiddled with by VBCurtis on 2019-03-17 at 22:43

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2019-02-03, 09:35	#167
garambois "Garambois Jean-Luc" Oct 2011 France 5×7×23 Posts	OK, page updated. Thank you to all. There are indeed a few more colors on the page ! My own calculations : 3^208-214-222-224 up to 120 digits. That's right, the project goal is to search these sequences to 120 digits. Ideally, all cells should be green. But it is not physically possible to push the calculations so far in a reasonable time. 120 digits is a good compromise. I noticed that LaurV is pushing the calculations a lot further ! Congratulations ! It is only for base 2 that we can have green cells for all powers ! What would be extraordinary would be to find an aliquot sequence starting on a power of 2 and that would be Open-End ! You've all noticed that powers of 2 go up to 500. The calculations become very long. I will continue these calculations to turn all the cells green. Then, I think it will be very interesting to extend the powers beyond 500. If someone wants to calculate the aliquot sequences that start with 2^501, 2^502 or more, he can already book them. We are sure that these aliquot sequences will go down to a prime number, because from the first iteration, we must obtain odd numbers. EXCEPT if further on, we had to have a big surprise and if we had to find an even term during the calculations, and then if we had to have terms with a driver !

2019-02-08, 18:20	#169
garambois "Garambois Jean-Luc" Oct 2011 France 5×7×23 Posts	OK, page updated. Thank you to all. My own calculations : 3^220-226-230 up to 120 digits. The next update will be done on the weekend of February 23rd and 24th.

2019-02-12, 15:16	#170
richs "Rich" Aug 2002 Benicia, California 3·17·29 Posts	Reserving 439^18

2019-02-24, 12:00	#171
garambois "Garambois Jean-Luc" Oct 2011 France 1100100101₂ Posts	OK, page updated. Thank you to all. My own calculations : 2^500 finished on a P29. The calculations for the powers of 2 are very long !

2019-02-25, 19:09	#172
VBCurtis "Curtis" Feb 2005 Riverside, CA 1010010011100₂ Posts	Taking 13^18 and 13^20.

2019-02-28, 04:05	#173
VBCurtis "Curtis" Feb 2005 Riverside, CA 12234₈ Posts	.. that was quick. Unreserving 13^18. The C120 cofactor has been ECMed to t35, nearly enough. I have a new appreciation for the power of 2^335 to rapidly drive a sequence.

2019-03-03, 10:00	#174
garambois "Garambois Jean-Luc" Oct 2011 France 5×7×23 Posts	OK, page updated. Thank you to all. My own calculations : 2^496 finished on a P146 !!!

2019-03-17, 13:08	#175
garambois "Garambois Jean-Luc" Oct 2011 France 5×7×23 Posts	OK, page updated. Thank you to all. My own calculations : 2^492 not yet finished despite 8 threads constantly calculating on it !