Trurl Posted January 15 Share Posted January 15 3x+1 if odd x/2 if even So why not create a sieve of multiples of 2, 4, and 8? When x equals a logarithm of 2, 4, or 8 then x/2 repeated equals 2. 2*2*2*2… 4*4*4*4… 8*8*8*8… These 3 logarithms of 2, 4, and 8 encompass all the numbers that reduce to 2 when repeatedly divided by 2. What am I missing? Did I break the rules of the pattern? I am trying real hard not to factor semiPrimes. I did not research the problem yet. I am only working with 3x+1. I realize that this is more complex with larger numbers. I am just stating a simple example. Link to comment Share on other sites More sharing options...
MigL Posted January 15 Share Posted January 15 Here is a ( long ) video illustrating some of the approaches to understand the Collatz Conjecture Link to comment Share on other sites More sharing options...
KJW Posted January 15 Share Posted January 15 (edited) The Proof of the 3X + 1 Conjecture Edited January 15 by KJW Link to comment Share on other sites More sharing options...
MigL Posted January 15 Share Posted January 15 (edited) I don't really understand the proof, but I find some of the approaches interesting. Edited January 15 by MigL Link to comment Share on other sites More sharing options...
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