Number Theory

    

Collatz's Conjecture - A Proof

Authors: Ramaswamy Krishnan

First: it is proved for numbers for 1, 5, 21, 85..etc. Second: using the above, it is proved for n = 4k + 1. Third: n = 4k + 3 is analyzed for various values, and how it iterates first to 4k + 1 before becoming 1. Thus the conjecture is proved for all odd values of n. As even values of n are reduced to an odd value, the Collatz's Conjecture is proved for all positive integer values of n.

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[v1] 2024-11-14 20:40:45

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