Will the Collatz Conjecture be proved true by December 2025?
40
1.4kṀ4346
Dec 1
87%
There will be a third, and final, proof
82%
No
41%
Yes, but there will be a disagreement among mathematicians as to whether the proof is correct or not.
18%
Yes
11%
Yes, and the Japanese $1M prize will not be won.
2%
Yes, and the Japanese $1M prize will be won.

A proof has been suggested on Quora for "the nth terms of convergence of the Collatz map". (I am restarting this market as multiple choice, now Manifold has that option.)

There are two parts to the proof:

A general statement of the theorem, https://qr.ae/pyD8Nk, and an inductive proof of that theorem, https://qr.ae/pKRv1A

The ambiguity is whether or not proving convergence of the nth terms is the same as proving all sequence Ns converge on 1.

A third, generalized, proof may be published on Quora. 

If you want to learn about the conjecture and its place in contemporary mathematics, watch the Veritasium video on YouTube: https://youtu.be/094y1Z2wpJg

About the prize: https://mathprize.net/posts/collatz-conjecture/

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