Published December 26, 2025
| Version v8
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Proof of the Collatz Conjecture
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Description
The Collatz Conjecture (or 3n+1 problem) has been explored for about 86
years. In this article, we prove the Collatz Conjecture. We will show that
this conjecture holds for all positive integers by applying the Collatz inverse
operation to the numbers that satisfy the rules of the Collatz Conjecture.
Finally, we will prove that there are no positive integers that do not satisfy
this conjecture.
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Proof_of_the_Collatz_Conjecture.pdf
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