The Proof of the Collatz Conjecture
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Abstract
In this paper, I intend to prove the Collatz conjecture. In the following, I will prove that the
Collatz conjecture is true for any positive integer and also for natural numbers. That is, after
sufficiently using the rules of the Collatz conjecture, we must reach 1. In fact, I aim to give a
definite answer to the question that has not been answered since 1937: Does the Collatz sequence
eventually reach 1 for all-natural or positive integer initial values? My answer is yes.
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