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I mean, at its simplest, the Collatz conjecture is a type of random walk, with the sequence either exponentially growing or exponentially shrinking, basically a
by thehappypm 5y ago
I mean, at its simplest, the Collatz conjecture is a type of random walk, with the sequence either exponentially growing or exponentially shrinking, basically at random. It's statistically impossible that that any random walk will continue one direction forever, and once it randomly decays to 1 you're done.
- quickthrower2 5y agoLoops are the other option you’d need to prove don’t exist. I think I can see why trying to solve this problem is popular. It almost feels like it should be easy to solve but it just quite isn’t!