Submitted:
29 October 2022
Posted:
31 October 2022
Read the latest preprint version here
Abstract
Collatz conjecture (or 3n+1 problem) has been explored for about 85 years. In this article, we prove the Collatz conjecture. We will show that this conjecture is valid for all positive integers by performing the Collatz inverse operation on the numbers that comply with the rules of the Collatz conjecture. Finally, it will be proved that there are no positive integers that do not comply with this conjecture.
Keywords:
Collatz operation
; Collatz inverse operation and Collatz numbers
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