Co-prime
The whole set of coprime can be generated by two disjoint sets of ternary trees, one(red) from (2,1), and the other(blue) from (3,1). src
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Collatz Conjecture
If the previous term is even, the next term is one half the previous term. If the previous term is odd, the next term is 3 times the previous term plus 1. The conjecture is that no matter what value of n, the sequence will always reach 1.