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A probabilistic solution for the Syracuse conjecture

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Abstract We prove the veracity of the Syracuse conjecture by establishing that starting from an arbitrary positive integer, the Syracuse process will never reach any integer reached before and then we conclude by using a probabilistic (a random walk) approach.Classification: MSC: 11A25
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Title: A probabilistic solution for the Syracuse conjecture
Description:
Abstract We prove the veracity of the Syracuse conjecture by establishing that starting from an arbitrary positive integer, the Syracuse process will never reach any integer reached before and then we conclude by using a probabilistic (a random walk) approach.
Classification: MSC: 11A25.

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