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 2019-01-10, 04:45 #144 gd_barnes     May 2007 Kansas; USA 33·17·23 Posts 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.
 2019-01-10, 16:32 #145 firejuggler     "Vincent" Apr 2010 Over the rainbow 1010011111002 Posts 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
 2019-01-10, 23:47 #146 gd_barnes     May 2007 Kansas; USA 293D16 Posts 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
2019-01-11, 05:23   #147
LaurV
Romulan Interpreter

"name field"
Jun 2011
Thailand

24·613 Posts

Quote:
 Originally Posted by gd_barnes Perhaps LaurV would like to add 28^83 to his reservation since he has the base reserved.

 2019-01-13, 15:36 #148 garambois     "Garambois Jean-Luc" Oct 2011 France 22·32·19 Posts 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 !!!
2019-01-13, 15:48   #149
garambois

"Garambois Jean-Luc"
Oct 2011
France

22·32·19 Posts

Quote:
 Originally Posted by firejuggler 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 ?

 2019-01-13, 17:35 #150 gd_barnes     May 2007 Kansas; USA 33·17·23 Posts 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
 2019-01-13, 18:15 #151 firejuggler     "Vincent" Apr 2010 Over the rainbow 1010011111002 Posts 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
 2019-01-13, 20:21 #152 firejuggler     "Vincent" Apr 2010 Over the rainbow A7C16 Posts edit because I'm an idiot who can't count! upto ^17
 2019-01-15, 02:55 #153 gd_barnes     May 2007 Kansas; USA 33×17×23 Posts 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.
 2019-01-18, 15:27 #154 kar_bon     Mar 2006 Germany 24·3·61 Posts Unreserving 11^12.

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