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2007 Balkan MO Shortlist
N4
N4
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2007 Balkan MO Shortlist
Problems
(1)
Problem on Infinite Arithmetic Progressions
Source: Balkan MO ShortList 2007 N4
4/6/2020
Find all infinite arithmetic progressions formed with positive integers such that there exists a number
N
ā
N
N \in \mathbb{N}
N
ā
N
, such that for any prime
p
p
p
,
p
>
N
p > N
p
>
N
, the
p
p
p
-th term of the progression is also prime.