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Old 2019-01-04, 13:01   #133
gd_barnes
 
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Reserving new base 14 all exponents to at least size 102, cofactor 97.
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Old 2019-01-06, 12:38   #134
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OK, updated web page.

My own calculations: 3^178, 3^190, 3^192, 3^194 and 3^200 up to 120 digits.

@gd_barnes
Base 14 added and reserved for you.
I found a merge for 14^7 but not for 14^13 !

@all
Don't forget to check the mergers.

Thank you all !
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Old 2019-01-06, 17:39   #135
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14^13:i262 = 167748:i33
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Old 2019-01-06, 18:10   #136
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Thank you Karsten.
I'm going to review my way of identifying mergers !
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Old 2019-01-06, 20:39   #137
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You updated a few hours too soon!

I started on base 14 late yesterday. My plan was to post an update today. Here it is:

All even exponents <= 104 have terminated.

Odd exponent merges:
14^7 term 21 merges with sequence 2484 term 9 with a value of 106640
14^13 term 262 merges with sequence 167748 term 33 with a value of 5933240

Odd exponent non-trivial terminations:
14^5 terminates at term 3478 with P=43 after reaching 88 digits
14^9 terminates at term 373 with P=59 after reaching 23 digits
14^19 terminates at term 378 with P=7 after reaching 30 digits
14^21 terminates at term 339 with P=7 after reaching 25 digits
14^23 terminates at term 362 with P=43 after reaching 32 digits
14^25 terminates at term 225 with P=43 after reaching 30 digits

All open sequences with exponents <= 26 have reached size >= 102 and cofactor >= 97.

I'll post a final status update when I am complete with the base. Perhaps 3-6 days.

Last fiddled with by gd_barnes on 2019-01-06 at 20:39
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Old 2019-01-06, 22:35   #138
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14^31 term 1396 merges with sequence 65208 term 6 with a value of 1619928.
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Old 2019-01-07, 06:21   #139
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14^35 and 14^37 both non-trivially terminate.

Base 14 is a prolific base for terminations and merges.

Last fiddled with by gd_barnes on 2019-01-07 at 06:21
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Old 2019-01-07, 11:29   #140
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The run of terminations continues.

14^45 terminates.
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Old 2019-01-07, 17:35   #141
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Really beautiful !
I will wait a few days before updating the page.... during the next weekend.
Then the situation will have stabilized.

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Old 2019-01-09, 15:49   #142
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Base 14 all exponents <= 104 is complete to at least size 102, cofactor 97. Highlights:

All even exponents have terminated.

Merges as previously posted:
14^7, 14^13, and 14^31

Odd exponent terminations as previously posted:
14^5, 14^9, 14^19, 14^21, 14^23, 14^25, 14^35, 14^37, 14^45

Additional termination:
14^57 terminates at term 664 with P=1429 after reaching 80 digits.

The base is released.

This was a prolific base. 64 / 104 exponents terminated = 61.5%. It is the 2nd best base > 2 so far searched. Stats:
Base 28: 51 / 82 = 62.2%
Base 14: 64 / 104 = 61.5%
Base 11: 68 / 115 = 59.1%

Base 14 just missed 1st place when 14^91 starting at 105 digits dropped all the way to 17 digits before returning to its original height. Perhaps bases divisible by 7 or 14 have naturally more terminations than the others.

Last fiddled with by gd_barnes on 2019-01-09 at 16:14
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Old 2019-01-09, 18:17   #143
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I'm still plugging away at 439^34.
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