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National and Regional Contests
Cuba Contests
Cuba MO
2009 Cuba MO
9
9
Part of
2009 Cuba MO
Problems
(1)
p | 2qr + r, q | 2pr + p y r | 2pq + q.
Source: 2009 Cuna 2.9
8/27/2024
Find all the triples of prime numbers
(
p
,
q
,
r
)
(p, q, r)
(
p
,
q
,
r
)
such that
p
∣
2
q
r
+
r
,
q
∣
2
p
r
+
p
a
n
d
r
∣
2
p
q
+
q
.
p | 2qr + r \,\,\,, \,\,\,q |2pr + p \,\,\, and \,\,\, r | 2pq + q.
p
∣2
q
r
+
r
,
q
∣2
p
r
+
p
an
d
r
∣2
pq
+
q
.
number theory
divides