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2016-09-05, 01:20   #100
EdH

"Ed Hall"
Dec 2009

3×5×223 Posts

Quote:
 Originally Posted by Drdmitry Two new cycles are discovered: Code: 69631368756488 = 2^3*7*11*463*4153*58787 93536879235832 = 2^3*6607*1769654897 81871314253928 = 2^3*53*71*2719615807 76736679668632 = 2^3*71*317*426182297 81539910932576 = 2^5*43*2399*24701399 82793562987424 = 2^5*23*61*73*163*154981 93525922343264 = 2^5*467*6258426281 90997518155224 = 2^3*89*127805503027
What is the current status?
14 digits is complete?
15 digits odd is complete?

I still don't have many machines back up. I'm also not sure where I will point them when I do...

2016-09-05, 07:44   #101
Drdmitry

Nov 2011

2·32·13 Posts

Quote:
 Originally Posted by EdH What is the current status? 14 digits is complete? 15 digits odd is complete? What about 15 digits even? I still don't have many machines back up. I'm also not sure where I will point them when I do...
14 digits even numbers are moving slowly. Hopefully this range will be finished in a couple of months. 15 and 16 digits odd numbers are finished. I did not start 15 digit even numbers range.

2016-09-05, 21:58   #102
EdH

"Ed Hall"
Dec 2009

3·5·223 Posts

Quote:
 Originally Posted by Drdmitry 14 digits even numbers are moving slowly. Hopefully this range will be finished in a couple of months. 15 and 16 digits odd numbers are finished. I did not start 15 digit even numbers range.
15d even is looking attractive, but I really don't have many machines up right now. I'm still trying to settle on which way to lean. If I do start in with 15d even, I will expand the search to include more cycles and I will start a new thread so you and others can see where I am.

P.S. I still haven't checked up to see how/why I missed that 4-cycle you found in my early range. The machines that would have that info aren't back up yet.

2016-09-10, 23:45   #103
EdH

"Ed Hall"
Dec 2009

1101000100012 Posts

Quote:
 Originally Posted by EdH Congratulations Drdmitry! I just tested it with my program here and there should have been no reason for missing it. I will research more later to see why, but for now I don't have the machines that could shed any light running. I suppose I will wait until I can at least see which machine should have caught that one, rather than speculate now. It may be quite some time... Good Searching!!
Well, I finally turned on the machines with the pertinent data. The result of my checking, is that the machine working that area did, in fact, find that cycle. But it didn't tell the controlling machine (or, anyone else). It actually never told about any of the amicable pairs it found, either. For a reason I'm not currently pursuing, it appears to have considered its finds to "close-hold" to divulge...

 2016-10-31, 11:03 #104 Drdmitry     Nov 2011 2×32×13 Posts At last, I completed the search of all 14d even cycles. I hoped to find at least one cycle of length different to four. Unfortunately none of them is there. On the other hand, three new cycles of length four were found on top of Ed's eight cycles. I am currently testing the program for 15d even cycles. It works considerably slower than that for 14d even and 16d odd cycles. Anyway, at some point I will post it on this forum just in case if someone is interested in the project of looking for 15d even cycles. I will pursue it for some time but definitely I will not accomplish it. I still hope to find at least one cycle of length different to four. :)
2016-10-31, 22:07   #105
EdH

"Ed Hall"
Dec 2009

3×5×223 Posts

Quote:
 Originally Posted by Drdmitry At last, I completed the search of all 14d even cycles. I hoped to find at least one cycle of length different to four. Unfortunately none of them is there. On the other hand, three new cycles of length four were found on top of Ed's eight cycles. I am currently testing the program for 15d even cycles. It works considerably slower than that for 14d even and 16d odd cycles. Anyway, at some point I will post it on this forum just in case if someone is interested in the project of looking for 15d even cycles. I will pursue it for some time but definitely I will not accomplish it. I still hope to find at least one cycle of length different to four. :)
Great work on completing that region. I'm not playing with anything in that area right now. I'm back with individual sequences and working on 3408. When you do post it, I'll be interested, but I probably still won't look for cycles anymore for the near future.

 2017-11-14, 18:25 #106 R. Gerbicz     "Robert Gerbicz" Oct 2005 Hungary 57416 Posts Again more than tripled the number of sociable cycles, added 3817 cycles, the new count is 5410, see http://djm.cc/sociable.txt In the table 1067 of them is irregular, the previous count was only 70. The largest cycle has 90 digits: Code: 728712583206303398190242618687042113752467214811108993257424171860528594567924190924670925 3E5.5E2.19.31.41.219707.302203120345042452118191021599.74811436986632321880273947630151066444616891487 777912361559506017106924016411985798162174755045418568804828526237301132540795410854017075 3E5.5E2.19.31.41.219707.24134668888891652793753744940710524377095337065967694437989536691048774192767 830433913470334951680671459201718136927391998068006241413850347605300258889341926931859405 3E4.5.31.43.47.641.2341855521657031.322605134371499255501969886869.67582249501685963413963728527115449 777912361559506017106924016411985821960528418729797387983992973984632366735221369340524595 3E4.5.31.43.47.641.2341855521657031.20423469187068442175351325869179832174429376379362479247163777619 yes, this is also irregular! Found a cycle with large (non-prime) primepower with a factor of 5^12: Code: 1035733761748595763297321513579125378972422853759765625 3.5E12.7E3.59.71.89.1499.3499.43609.305175781.333089791.475619059 1065683683830145328419667691065339233371385146240234375 3.5E12.7E3.59.71.89.1499.3499.43609.305175781.163004935690943219 1096499645461702689331294724339026674666502853759765625 3.5E12.7E3.89.349.3499.10799.43609.305175781.420383471.664719359 1065683682664643094854809173524061015421945146240234375 3.5E12.7E3.89.349.3499.10799.43609.305175781.271583749163604719 The largest exponent is now 19, used 2^19 for a cycle.
 2017-12-03, 08:09 #107 AndrewWalker     Mar 2015 Australia 10100102 Posts Congratulations on this latest update Robert! Can you please comment on if these are all 4 cycles and what types you have searched for. Thanks, Andrew.
2017-12-03, 10:02   #108
R. Gerbicz

"Robert Gerbicz"
Oct 2005
Hungary

22·349 Posts

Quote:
 Originally Posted by AndrewWalker Congratulations on this latest update Robert! Can you please comment on if these are all 4 cycles
Thanks! Obviously remained some non-discovered 4-cycles (likely infinite). Searched only Borho cycles, the smallest found irregular cycle has 21 digits, the regular cycle has 25 digits. Interestingly the smallest five found cycles are all irregulars. And currently the most populous digit level is 42, there are 281 cycles with cycle's smallest term 42 digits.

Quote:
 Originally Posted by AndrewWalker and what types you have searched for.
It is not a type search method. As I can remember in the past I've discovered the first known (0,0) [exotic] type, I've even not noticed this immediately, because it wasn't a type search algorithm.

Last fiddled with by R. Gerbicz on 2017-12-03 at 10:05

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