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Regional Olympiad - FBH 2018 Grade 11 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2018

September 18, 2018
SequenceprimeCompositeinfinitely many solutionsnumber theory

Problem Statement

We observe that number 10001=73ā‹…13710001=73\cdot137 is not prime. Show that every member of infinite sequence 10001,100010001,1000100010001,...10001, 100010001, 1000100010001,... is not prime