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2018 Balkan MO
4
Balkan Mathematical Olympiad 2018 P4
Balkan Mathematical Olympiad 2018 P4
Source: BMO 2018
May 9, 2018
number theory
Problem Statement
Find all primes
p
p
p
and
q
q
q
such that
3
p
q
ā
1
+
1
3p^{q-1}+1
3
p
q
ā
1
+
1
divides
1
1
p
+
1
7
p
11^p+17^p
1
1
p
+
1
7
p
Proposed by Stanislav Dimitrov,Bulgaria
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