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Indonesia MO
2019 Indonesia MO
7
INAMO 2019 P7
INAMO 2019 P7
Source: INAMO 2019 P7
July 3, 2019
number theory
Problem Statement
Determine all solutions of
x
+
y
2
=
p
m
x + y^2 = p^m
x
+
y
2
=
p
m
x
2
+
y
=
p
n
x^2 + y = p^n
x
2
+
y
=
p
n
For
x
,
y
,
m
,
n
x,y,m,n
x
,
y
,
m
,
n
positive integers and
p
p
p
being a prime.
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