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 2021-02-13, 15:54 #760 yoyo     Oct 2006 Berlin, Germany 22·32·17 Posts Ok, I'll take both bases.
2021-02-13, 16:07   #761
EdH

"Ed Hall"
Dec 2009

1110011100102 Posts

Quote:
 Originally Posted by yoyo Ok, I'll take both bases.
I also see that 496 still has quite a few odd parity sequences that haven't reached 140 digits. They don't show reservations and are on garambois' list.

Last fiddled with by EdH on 2021-02-13 at 16:09

2021-02-13, 16:18   #762
garambois

"Garambois Jean-Luc"
Oct 2011
France

22·3·47 Posts

Quote:
 Originally Posted by EdH What about the bases of the 6th (33550336) and 7th (8589869056) perfect numbers (or even further)? The even parities will all terminate rather quickly, but most of the odd should give some good sequences. And you might turn up a cycle or two for the collection.

Absolutely yes ! Perfect numbers play a key role in our project !

Quote:
 Originally Posted by yoyo I need more food :-) roughly 200 sequences. I'll wait for updated pages to check which are the next bases.

This is really incredibly fantastic !!!

If you really need more sequences, you can initialize bases 34 and 35 up to the minimum exponent 80 (or even 90). Because it is with these small bases that we are most likely to disprove the theory about cycles that we believe to be wrong exposed here :
https://www.mersenneforum.org/showth...12&page=66#720.
If you want to calculate these two new bases, let me know. I would then add them to the page during a future update, when all the sequences whose exponents have the same parity as the base will end with a prime number. So the work is less laborious for me ;-).

Another solution : you can reserve bases already initialized from the project page and not yet calculated "very far" : bases 439, 770, 1155.
Or wait for tomorrow's update (February 14) to see other bases for which we can push the calculations further.

 2021-02-13, 16:19 #763 yoyo     Oct 2006 Berlin, Germany 22·32·17 Posts Base 496 Taken. Last fiddled with by yoyo on 2021-02-13 at 16:20
 2021-02-13, 16:24 #764 yoyo     Oct 2006 Berlin, Germany 11448 Posts And take them all, base 34, 35, 439, 770, 1155 and will see how much it will be.
2021-02-13, 16:33   #765
garambois

"Garambois Jean-Luc"
Oct 2011
France

22×3×47 Posts

Quote:
 Originally Posted by EdH I also see that 496 still has quite a few odd parity sequences that haven't reached 140 digits. They don't show reservations and are on garambois' list.

Yes !

And I think we will also be forced to add exponents for base 28, up to 100 in a while, because it would be difficult to add exponents for larger perfect numbers, we would have too large integers too quickly !

 2021-02-13, 16:34 #766 RichD     Sep 2008 Kansas 2·3·7·79 Posts I am starting the preliminary work on base 41 and base 43.
2021-02-13, 16:44   #767
garambois

"Garambois Jean-Luc"
Oct 2011
France

10001101002 Posts

Quote:
 Originally Posted by yoyo Ok, I'll take both bases.

Quote:
 Originally Posted by yoyo Base 496 Taken.

Quote:
 Originally Posted by yoyo And take them all, base 34, 35, 439, 770, 1155 and will see how much it will be.

I think all of these bookings are going to represent a lot more than 200 sequences !
But a thousand times so much the better if yafu can do all this work !?
Thank you very much !

2021-02-13, 16:49   #768
garambois

"Garambois Jean-Luc"
Oct 2011
France

22·3·47 Posts

Quote:
 Originally Posted by RichD I am starting the preliminary work on base 41 and base 43.

Wonderful ! Today we have an explosion of activity even bigger than the other times... Thank you very much !

 2021-02-13, 23:16 #769 EdH     "Ed Hall" Dec 2009 Adirondack Mtns 2·432 Posts I'm nearing completion of base 450 through i=50, but three exponents (47, 49, 50) are unfinished. I'll start work on 578 (2*17^2) next.
 2021-02-14, 00:48 #770 Happy5214     "Alexander" Nov 2008 The Alamo City 22·5·29 Posts I just completed 882 (2*21^2) up to 120 digits (882^40). All terminated with primes except with 882^29, which terminated with a cycle (6) I'm also finished with 24^27, and I'm releasing everything on base 24 below and including that. If Karsten doesn't mind, I'd like to have a look at his page generation script. There are still some lingering HTML issues I want to take a crack at fixing.

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