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Saint Petersburg Mathematical Olympiad
2013 Saint Petersburg Mathematical Olympiad
4
St.Peterburg, P4 Grade 11, 2013
St.Peterburg, P4 Grade 11, 2013
Source:
April 17, 2014
number theory proposed
number theory
Problem Statement
Find all pairs
(
p
,
q
)
(p,q)
(
p
,
q
)
of prime numbers, such that
2
p
−
1
2p-1
2
p
−
1
,
2
q
−
1
2q-1
2
q
−
1
,
2
p
q
−
1
2pq-1
2
pq
−
1
are perfect square. F. Petrov, A. Smirnov
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