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BxMO 2015, Problem 3

Source: Benelux Mathematical Olympiad 2015, Problem 3

May 10, 2015
number theoryprime numbers

Problem Statement

Does there exist a prime number whose decimal representation is of the form 3811113811\cdots11 (that is, consisting of the digits 33 and 88 in that order, followed by one or more digits 11)?