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Macedonian JBMO TST 2012 - Problem 1

Source: Macedonian JBMO TST

September 17, 2012
number theoryprime numbersnumber theory proposed

Problem Statement

Find all prime numbers of the form 111⋅11…1⏟2n ones\tfrac{1}{11} \cdot \underbrace{11\ldots 1}_{2n \textrm{ ones}}, where nn is a natural number.
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