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2012 JBMO TST - Macedonia
4
Macedonia JBMO TST 2012 - Problem 4
Macedonia JBMO TST 2012 - Problem 4
Source: Macedonia JBMO TST 2012
August 27, 2012
number theory proposed
number theory
Problem Statement
Find all primes
p
p
p
and
q
q
q
such that
(
p
+
q
)
p
=
(
q
−
p
)
(
2
q
−
1
)
(p+q)^p = (q-p)^{(2q-1)}
(
p
+
q
)
p
=
(
q
−
p
)
(
2
q
−
1
)
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