My Math Forum Collatz conjecture

 Number Theory Number Theory Math Forum

August 28th, 2014, 08:03 PM   #1
Member

Joined: Nov 2013

Posts: 62
Thanks: 0

Collatz conjecture

Missing anything??
Attached Images
 Collatz conjecture1.jpg (85.8 KB, 22 views)

Last edited by jim198810; August 28th, 2014 at 08:15 PM.

 August 29th, 2014, 05:05 AM #2 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Of course $n_0$ does not have to be the base-2 log as indicated. (Perhaps you meant the 2-adic valuation, in which case that line is correct but the conclusion does not follow.)
 August 30th, 2014, 03:49 AM #3 Member   Joined: Nov 2013 Posts: 62 Thanks: 0 by conclusion you mean 3xi+1<2^(log_2(cx0)) ? probably its not the right question to ask. if ni>1 then it should be quite easy to show. Question emerges when ni=1 for certain consecutive iteration.I might have a proof for that.
 August 30th, 2014, 06:16 AM #4 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms I mean the very first use of log, on the third line.
 August 30th, 2014, 07:17 AM #5 Member   Joined: Nov 2013 Posts: 62 Thanks: 0 2^(log_2(3(x0)+1))=2^n1 * 2^(log_2(x1)) ? If I want to know the power of 2 on the right hand side , it must satisfy the left hand side. If I partition the left side in two part, in one part it is converted in power of 2,for other one, 2-base logarithm has been used.

 Tags collatz, conjecture

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Aika Number Theory 6 April 29th, 2012 06:34 AM xolruf Number Theory 1 January 1st, 2012 08:11 AM kaushiks.nitt Number Theory 42 March 4th, 2011 04:20 PM 8Pickle Number Theory 6 September 7th, 2009 07:26 PM steiner1745 Number Theory 1 February 28th, 2007 08:09 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top