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1996 Bulgaria National Olympiad
1
Bulgaria National Olympiad 1996
Bulgaria National Olympiad 1996
Source:
June 10, 2020
number theory
prime numbers
Problem Statement
Find all prime numbers
p
,
q
p,q
p
,
q
for which
p
q
pq
pq
divides
(
5
p
−
2
p
)
(
5
q
−
2
q
)
(5^p-2^p)(5^q-2^q)
(
5
p
−
2
p
)
(
5
q
−
2
q
)
.
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