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November 23rd, 2016, 02:24 AM  #1 
Member Joined: Jul 2014 From: israel Posts: 68 Thanks: 2  Collatz Conjecture bounds
Cycle bounds Collatz Conjecture I have an update about what I was trying to find for so long. (I am still kinda stuck with finishing my proof on a few things.) I think I said when I will find a limit to x by y I will share it x = number of even values in a cycle y = number of odd values in a cycle x<8/9*floor(1.5^y)y I know it's really high but it works and is helpful on a few cases. Last edited by skipjack; November 23rd, 2016 at 08:34 PM. 
May 16th, 2017, 01:00 AM  #2 
Member Joined: Jul 2014 From: israel Posts: 68 Thanks: 2 
anyone with lower bounds??? i think this is the best results positive cycles: x = roundup ( y * ln3/ln2 ) negative cycles: x = rounddown ( y * ln3/ln2 ) (1,2) (1,2,4) (5,14,7,20,10) (−17,−50,−25,−74,−37,−110,−55,−16 4 ,−82,−41,−122,−61,−182,−91,−272,−1 36,−68,−34) 

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bounds, collatz, conjecture 
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