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Iran Contests
Iran MO (3rd Round)
2005 Iran MO (3rd Round)
1
n,p,q
n,p,q
Source: Iran 2005
August 29, 2005
quadratics
number theory proposed
number theory
Problem Statement
Find all
n
,
p
,
q
ā
N
n,p,q\in \mathbb N
n
,
p
,
q
ā
N
that:
2
n
+
n
2
=
3
p
7
q
2^n+n^2=3^p7^q
2
n
+
n
2
=
3
p
7
q
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