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Old 2019-01-19, 07:59   #155
gd_barnes
 
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Base 15 all exponents <= 102 is complete to at least size 102, cofactor 97. Highlights:

All odd exponents have terminated.

Merges as previously posted:
15^4, 15^8, 15^18, 15^28, and 15^42

Even exponent terminations as previously posted:
15^6, 15^10, 15^14, and 15^36

Additional termination:
15^22 terminates at term 1375 with P=1361 after reaching 65 digits.

New cycle:
15^74 terminates in a cycle at term 1705 with C=6 after reaching 88 digits.

The base is released.
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Old 2019-01-19, 17:39   #156
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OK, page updated.
Thank you to all !

Bases 15 and 82589933 added.

@gd_barnes :
Bases 14 and 15 released.
I replaced
15^8 term 77 merges with 147150 term 7
by
15^8 term 77 merges with 147150 term 17


My own calculations :
3^232 up to 120 digits.
Poor week for my calculations, only aliquot sequences with drivers like 2^2 * 7 !
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Old 2019-01-22, 00:00   #157
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Some additional work done on base 15:

15^98 had a downdriver at a large size so I continued it. It dropped all the way to 9 digits and so narrowly missed a merge. I added 1048 terms to it. It is now at i=1070, size 106, C97.

15^103 trivially terminated after a short run.

No more work to be done on base 15.

Last fiddled with by gd_barnes on 2019-01-22 at 00:00
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Old 2019-01-22, 00:10   #158
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I have nominated myself as the "consistency police". I noticed that all except a few of the bases > 2 have all exponents listed up thru and including the first trivial exponent > 120 digits. Only bases 12, 28, and 439 are missing that final trivial exponent.

Based on this, I trivially terminated the following sequences:
12^112
28^84
439^47

Would it make sense to go ahead and add these to the page? I suggest it because I think it will be interesting to show percentage of exponents terminated/cycled by base in the future to look for patterns. To do this accurately, all bases would need a consistent stopping point.

Last fiddled with by gd_barnes on 2019-01-22 at 00:11
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Old 2019-01-24, 19:56   #159
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6^113 terminates after reaching 103 digits.


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Old 2019-01-26, 00:31   #160
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I extended many unreserved sequences that did not have drivers -or- had a small cofactor. Several had substantial extensions. Here is a list of the extended sequences:

5^124
6^53
6^83
6^99
6^101
6^113 (Terminated as previously reported!)
6^119
6^123
6^125
7^82
7^88
7^98
7^106
7^116
10^51
10^75
10^89
10^93
10^95
10^97
11^72
12^63
12^69
12^71
12^93
13^42
13^48
13^50
13^78
13^88
14^77
15^44
15^82
15^88

If any more info is needed, let me know.

No reservations.

Most (all) unreserved sequences without drivers should be at >= 105 digits now. :-)
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Old 2019-01-27, 10:43   #161
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OK, page updated.
Thank you to all and especially to gd_barnes.

@gd_barnes :
12^112 added
28^84 added
439^47 added
You're right, it's much cleaner like this !

Congratulations for the non-trivial calculation of 6^113.

My own calculations :
3^210-216-218 up to 120 digits. Last week, it was 3^212 and no 3^232 of course !
And (10^10+19)^15 trivially terminated after a few days.
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Old 2019-01-28, 08:06   #162
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Since the project goal is to search these sequences to 120 digits, I loaded up all remaining unreserved sequences that were at 118 or 119 digits and searched them to >= 120 digits. Here they are:

5^168
5^170
6^151
7^140
11^114
13^104
14^103
15^100

No reservations.

Now you can add a little more color to the page.
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Old 2019-01-31, 14:21   #163
ricky
 
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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.

Last fiddled with by ricky on 2019-01-31 at 14:48
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Old 2019-01-31, 17:35   #164
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82589933^2 reached 120 digits, 2^2*7 driver, C111
82589933^4 reached 120 digits, 2^4*3, reached 2^8*3^2 during its course, C107
82589933^6 reached 126 digits, 2^3 *3^2, C109
82589933^8 reached 103 digits,2*3 driver
82589933^10 reached 109 digits, 2^5*3*7 , C100
82589933^12 reached 107 digits 2^3*3^3, C101
82589933^14 reached 105 digits, 2*3 driver, C101
82589933^16 reached 122 digits, 2^4 * 3 * 7, C118


relasing 82589933^2 and 82589933^4. Will probably work a few more iteration on 82589933^6, will continue work on others.

Last fiddled with by firejuggler on 2019-01-31 at 17:36
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Old 2019-02-02, 00:10   #165
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An extension to my most recent post: I loaded up all remaining unreserved sequences that were at 116 or 117 digits and searched them to >= 120 digits. Here they are:

5^166
6^147
6^149
7^58
7^138
10^115
11^100
11^110
14^99
14^101

All previous size >= 116 sequences are now at size >= 120 digits. (except reserved base 3)

No reservations.

More color for the page.
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