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2^n + 11 is divisible by 2^k - 1 (HOMC 2018 ind. sen11)

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February 2, 2020
number theorydivisible

Problem Statement

Find all positive integers kk such that there exists a positive integer nn, for which 2n+112^n + 11 is divisible by 2kāˆ’12^k - 1.
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