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The 3x+1 problem, also known as the Collatz conjecture, is a problem in mathematics that remains unsolved. It involves taking a positive integer and repeatedly applying a simple rule to it: if the integer is even, divide it by 2, and if it is odd, multiply it by 3 and add 1. The problem is to determine whether this process will always eventually reach the number 1, regardless of which positive integer is chosen as the starting point. Despite much effort by mathematicians, the 3x+1 problem remains unsolved.
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