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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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.
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