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What is the latest verified research on the 3x 1 problem?

Best Answers

Fields Medalist Tao has a blog post on The Collatz conjecture, Littlewood-Offord theory, and powers of 2 and 3 from August 25, 2011. read more

If n is odd, multiply it by $3$ and add $1$ to obtain $3n + 1$. Repeat the process (which has been called "Half Or Triple Plus One", or HOTPO) indefinitely. The conjecture is that no matter what number you start with, you will always eventually reach $1$. To quote: Steiner (1977) proved that there is no 1-cycle other than the trivial (1;2). read more

The conjecture is that no matter what number you start with, you will always eventually reach 1. To quote: Steiner (1977) proved that there is no 1-cycle other than the trivial (1;2). read more