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[2^n / n] is a power of 2, then n is a power of 2

Source: Indian Postal Coaching 2008 set 6 p2

May 25, 2020
floor functionpower of 2number theory

Problem Statement

Show that if n≥4,n∈Nn \ge 4, n \in N and [2nn]\big [ \frac{2^n}{n} ] is a power of 22, then nn is a power of 22.
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