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BxMO 2015, Problem 3
Source: Benelux Mathematical Olympiad 2015, Problem 3
5/10/2015
Does there exist a prime number whose decimal representation is of the form
3811
⋯
11
3811\cdots11
3811
⋯
11
(that is, consisting of the digits
3
3
3
and
8
8
8
in that order, followed by one or more digits
1
1
1
)?
number theory
prime numbers