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2^n-1 does not divide 3^n-1

Source: Korea National Olympiad 2009 Problem 7

September 9, 2012
number theory proposednumber theory

Problem Statement

For all positive integer n≥2 n \ge 2 , prove that 2n−1 2^n -1 can't be a divisor of 3n−1 3^n -1 .
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