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The sequence does not contain numbers of the form 2^n - 1

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September 2, 2010
number theorypower of 2arithmetic sequenceIMO ShortlistIMO Longlist

Problem Statement

Prove that the sequence 5,12,19,26,33,⋯5, 12, 19, 26, 33,\cdots contains no term of the form 2n−1.2^n -1.
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