If we look at any initial condition or any configuration in a collatz-sequence, do we find patterns to primes? I just found out the first 16 possible configurations adds up to the primes, but I need to check if this is true for numbers up to a hundred or a thousand to be sure this is true.
My research-notes have gone over 30 pages so far. I guess thats not a big deal for those who have written dozens of papers. I am probably the only one who understands my own work, and need to practise more on writing it in a formal matter. So there's no point for me to share my notes so far. Since I am looking at the Collatz-problem from a simple perspective, I just wonder, are there any simple basic research in this area, or does it involve complicated equations?
To reiterate my question, it goes like this: Is there any patterns to primes in relations to an initial condition or any configuration in a Collatz sequence?
And if someone have an answer, please answer in simple terms, I would appreciate that.