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Regional Olympiad - FBH 2011 Grade 9 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2011

September 26, 2018
number theoryPerfect Squares

Problem Statement

For positive integer nn, prove that at least one of the numbers A=2n−1,B=5n−1,C=13n−1A=2n-1 , B=5n-1, C=13n-1 is not perfect square
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