Some Observations on the 3x+1 Problem

Details Some Observations on the 3x+1 Problem Some Observations on the 3x+1 Problem

2005-04-18

arxiv.org/abs/math/0504355v1

Mathematics

General Mathematics

5 pages

Scientific paper

We present some interesting observations on the 3x+1 problem. We propose a new algorithm which eliminates certain steps while we check the action of 3x+1 procedure on a number. Also, we propose a reason why many numbers follow a similar pattern during execution of 3x+1 algorithm. We advocate towards the end (a heuristic argument) that the 3x+1 conjecture is more likely to be true than false.

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