Number Theory

    

Elegant Proof of the 3n + 1 Problem via Modular Algebra

Authors: Derek Tucker

The Collatz conjecture is true, the 3n +1 problem generates a fractal spiral from odd multiples of three to elements 5 mod 8, if they are not already, and from there onto smaller elements already known to go to one. If T is the reduced Syracuse function, then if T(u) = x, so too does T(4u+1) = x. Also 3 mod 4 elements inevitabley map to 1 mod 4. All must descend.

Comments: 3 Pages.

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Submission history

[v1] 2020-08-01 18:22:34

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