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Old 2019-01-10, 04:45   #144
gd_barnes
 
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I added some iterations to some larger sequences that did not have drivers. Here are the updates:

5^154: 19 U109 (102) +15 iterations
6^127: 31 U106 (101) +9
6^129: 27 U106 (106) +22
6^137: 15 U108 (104) +12
7^122: 43 U107 (103) +35
10^107: 20 U106 (106) +9
12^83: 127 U107 (104) +17
12^87: 137 U109 (99) +65
12^103: 14 U114 (99) +10
13^104: 21 U118 (110) +18
13^106: 184 U105 (101) +13
439^38: 52 U106 (103) +17
439^40: 39 U105 (103) +26

Many still do not have drivers.

No reservations.
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Old 2019-01-10, 16:32   #145
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I was wondering why nobody took upon themselves to test 82589933^x...
well...
82589933^1 is prime
82589933^2 immediatelly merge with 82589934
82589933^3 terminate quickly at 29
82589933^4 merge with 563353953758481254763660
82589933^5 terminate 34789944176815817522021
... well it seems that even power always merge immediatelly and odd terminate...
I should have know

Last fiddled with by firejuggler on 2019-01-10 at 16:32
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Old 2019-01-10, 23:47   #146
gd_barnes
 
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Garambois, I noticed that for all bases 2 < b < 15 you included all exponents up through and including one final exponent with a size of > 120 digits.

Would it make sense to do the same for bases 21 and 28? The final exponent that you have shown for those bases only makes a sequence of size 119 digits. If you agree, then 21^91 and 28^83 would need to be added.

To make it easy, I quickly searched both sequences. Results are as follows:
21^91 is trivial and fairly quickly terminated.
28^83 hit a hard C113 after 6 iterations so I stopped there.

Perhaps LaurV would like to add 28^83 to his reservation since he has the base reserved.

Last fiddled with by gd_barnes on 2019-01-10 at 23:48
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Old 2019-01-11, 05:23   #147
LaurV
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Quote:
Originally Posted by gd_barnes View Post
Perhaps LaurV would like to add 28^83 to his reservation since he has the base reserved.
Yes please! :)
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Old 2019-01-13, 15:36   #148
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OK, page updated !

Thank you to all.
Thank you to Karsten Bonath, because I didn't know how to do to add some exponents to a base !

Exponents 91 and 83 added for bases 21 and 28.

My own calculations :
3^198 non trivial termination.
3^188, 3^196, 3^198, 3^202, 3^206 up to 120 digits.
3^204 at index 1060 merges with 4788 at index 6.
Reminder : 7^96 at index 1267 merges with 4788 at index 6 too !!!
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Old 2019-01-13, 15:48   #149
garambois
 
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Quote:
Originally Posted by firejuggler View Post
I was wondering why nobody took upon themselves to test 82589933^x...
well...
82589933^1 is prime
82589933^2 immediatelly merge with 82589934
82589933^3 terminate quickly at 29
82589933^4 merge with 563353953758481254763660
82589933^5 terminate 34789944176815817522021
... well it seems that even power always merge immediatelly and odd terminate...
I should have know

A priori, I don't see anything special in the behavior of aliquot sequences starting on exponents of the prime number 82589933.
Do you want to book the base 82589933 ?

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Old 2019-01-13, 17:35   #150
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Congrats on the nice termination for 3^198 !

You can release base 14 for me.

Reserving base 15 all exponents to at least size 102, cofactor 97.

Here are some highlights for some of the smaller exponents so far:

Merges:
15^4 term 3 merges with 3432 term 69 with value 73444
15^8 term 77 merges with 147150 term 7 with value 4458100
15^18 term 98 merges with 81600 term 354 with value 230896

Non-trivial terminations:
15^6 terminates at term 74 with P=41 after reaching 8 digits
15^10 terminates at term 152 with P=7 after reaching 12 digits
15^14 terminates at term 392 with P=43 after reaching 22 digits

It should be done in a few days.

Last fiddled with by gd_barnes on 2019-01-13 at 17:35
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Old 2019-01-13, 18:15   #151
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I'll get 82589933 upto C105 and upto ^50, as I have not much ressource.
As for detecting merge.... i do not know how beside checking number by number.

Last fiddled with by firejuggler on 2019-01-13 at 18:19
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Old 2019-01-13, 20:21   #152
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edit because I'm an idiot who can't count! upto ^17
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Old 2019-01-15, 02:55   #153
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Base 15 has some additional merges and a termination:

Merges:
15^28 term 976 merges with 81084 term 14 with value 931324
15^42 term 819 merges with 3366 term 2 with value 5940

Non-trivial termination:
15^36 terminates at term 2757 with P=59 after reaching 108 digits

I will report any additional merges or terminations when I am done with the base.
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Old 2019-01-18, 15:27   #154
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Unreserving 11^12.
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