Will the Collatz conjecture be resolved by the end of the decade (11:59, 31 December 2029)? | Manifold

Will the Collatz conjecture be resolved by the end of the decade (11:59, 31 December 2029)?

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It's a problem a child could understand. Still, there have been countless mathematicians "wasting their careers" attempting to solve what is beyond our grasp -- and it fundamentally comes down to understanding how the multiplicative structure of the integers interacts with the additive. This will be resolved if a proof or disproof is in a journal of high esteem by the time the clock ticks by.

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(11:59, 31 December 2029)

What time zone?

bought Ṁ30 YES

I think there's a pretty strong chance this will happen

There's a lot of unexplored theory in the space of directed 1-forests: https://en.m.wikipedia.org/wiki/Pseudoforest

Functional graphs define directed 1-forests. In the case of the collatz conjecture this involves demonstrating that the infinite graph contains only one cycle.

There's so many domains that could be connected in some way to the collatz conjecture. Proving it could unlock a whole new branch of mathematics. I think large mathematics models will significantly accelerate this exploration.

I had a go at this one a few years ago. It's an absolute pain, especially since the problem is so easy to pose

Wait guys if klaus frickin' ROTH is working on this then it's for sure gonna happen!

This is a for sure yes guys, I'm working on it.

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