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2016 JBMO TST - Turkey
7
An equation involving two prime numbers
An equation involving two prime numbers
Source: Turkey JBMO TST 2016 P7
May 22, 2016
number theory
prime numbers
Problem Statement
Find all pairs
(
p
,
q
)
(p, q)
(
p
,
q
)
of prime numbers satisfying
p
3
+
7
q
=
q
9
+
5
p
2
+
18
p
.
p^3+7q=q^9+5p^2+18p.
p
3
+
7
q
=
q
9
+
5
p
2
+
18
p
.
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