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Old 2020-12-25, 18:30   #705
garambois
 
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OK, base 439 complete.
A lot of thanks.
Merry Christmas to you too and to all of you !
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Old 2020-12-27, 10:37   #706
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OK, page updated.
Many thanks to all for your contribution !

Base 200 added up to exponent 54.
Base 288 added up to exponent 50.
10^129 merge added.
Base 439, work completed.
Addition of exponents 64 to 95 for base 79.

I still have to correct some attributions for base 288, at the next update...

There are now a total of 45 bases on the page !



Last fiddled with by garambois on 2020-12-27 at 10:56 Reason: Forgot to mention the addition of exponents for the base 79
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Old 2020-12-27, 16:04   #707
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Quote:
Originally Posted by garambois View Post
. . .
There are now a total of 45 bases on the page !


And, if my count is correct, 4618 sequences. . .
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Old 2020-12-30, 09:16   #708
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Your addition is correct, I find the same. And I also added the other columns, it gives :

All : 4618
Done : 2986
Open : 1608
Merges : 78
Cycle : 24

And we have the exact addition : 24 + 1608 + 2986 = 4618

Note that 24 + 2986 = 3010.
So we have 3010 / 4618 = 0.6518 or about 65% of all our aliquot sequences for which we have finished the caculs !
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Old 2020-12-30, 10:59   #709
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29^36 terminates.
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Old 2020-12-30, 19:00   #710
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Waouh : a non-trivial ending !
Congratulations !

29^15 is also to my knowledge the only aliquot sequence in our project that should end trivially and that doesn't ! At index 36, we find a perfect square term. So we have a change of parity. And we have at index 37 the number 18528 which is the start of an Open-End sequence.
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Old 2021-01-17, 20:04   #711
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OK, page updated.
Many thanks to all for your help !


Notable discovery for this time :
The sequence 3^286 ends with the 28-cycle.
- This is the first sequence of the project that ends on the 28-cycle !
- And it is the first sequence that ends on a cycle for base 3 !
- And we hadn't had any sequence that ended with a cycle of length other than 1 or 2 before that in this project !
Karsten Bonath had flair in pushing further the calculations for this sequence !
Congratulations !

Now, let's wait to find another sequence that ends with a cycle for base 3 to see how long its cycle length will be.

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Old 2021-01-29, 21:27   #712
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After a little more than 4,000 terms and a heart-stopping roller-coaster ride in the middle, my run with 24^21 ends with nothing to show for it.

There are a couple of glaring holes in the list, bases 22 and 26. I'd like to initialize those to 100 digits. The even exponents are already done for both up to 120 digits.

Also, would it be too much trouble to generate a page like http://www.aliquotes.com/OE_3000000_C80.txt for the power sequences?
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Old 2021-01-30, 07:23   #713
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Base 26 is done to 100 digits (26^69). There were 3 merges (26^15:i350 = 2360:i4, 26^35:i503 = 87612:i4, and 26^55:i458 = 871000:i0), plus 26^67, which had additional terms already in FactorDB that I didn't compute, but I couldn't deduce a merge for. Exponents 1, 3, 5, 19, 31, 33, and 59 terminate. I'll start base 22 next.
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Old 2021-01-30, 15:36   #714
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OK, page updated.
Thanks to all for your help !


Quote:
Originally Posted by Happy5214 View Post
After a little more than 4,000 terms and a heart-stopping roller-coaster ride in the middle, my run with 24^21 ends with nothing to show for it.
OK, thanks !


Quote:
Originally Posted by Happy5214 View Post
There are a couple of glaring holes in the list, bases 22 and 26. I'd like to initialize those to 100 digits. The even exponents are already done for both up to 120 digits.
...
...
Base 26 is done to 100 digits (26^69). There were 3 merges (26^15:i350 = 2360:i4, 26^35:i503 = 87612:i4, and 26^55:i458 = 871000:i0), plus 26^67, which had additional terms already in FactorDB that I didn't compute, but I couldn't deduce a merge for. Exponents 1, 3, 5, 19, 31, 33, and 59 terminate.
OK, thanks !
Base 26 added.
Congrats on the non-trivial sequences that are coming to an end !
For mergers, I find exactly the same as you.
For 26^67, sorry, but I can't find better than you can of which merger it could be ?
I am waiting to hear from you for base 22.

Yes, there are still holes in the list. At the beginning of the project, we wanted to calculate all the bases up to 100, but when we realized the difficulty of the task, we revised our ambitions downwards !


Quote:
Originally Posted by Happy5214 View Post
Also, would it be too much trouble to generate a page like http://www.aliquotes.com/OE_3000000_C80.txt for the power sequences?
This is a good idea.
I will think about it during my next vacations in a few weeks.


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Old 2021-01-30, 17:35   #715
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Would you like table 338 ( 2 * 13^2 ) initialized? Or do you have enough data for 2 * prime^2 to understand the trend? I can start on it if you like.
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