Question: Consider the following claim: There does not exist a string, w, such that when w is interpreted as a base-2 natural number it is divisible

Consider the following claim: There does not exist a string, w, such that when w is interpreted as a base-2 natural number it is divisible by 3 while, at the same time, when wR is interpreted as a base-3 number it is NOT divisible by 2 . If this claim is true, prove it. If the claim is false, what is the first string, in a shortlex sense, that satisfies the requirements
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