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Junior Balkan MO
2011 Junior Balkan MO
2
Jbmo 2011 Problem 2
Jbmo 2011 Problem 2
Source: Jbmo 2011
June 21, 2011
number theory unsolved
number theory
Problem Statement
Find all primes
p
p
p
such that there exist positive integers
x
,
y
x,y
x
,
y
that satisfy
x
(
y
2
−
p
)
+
y
(
x
2
−
p
)
=
5
p
x(y^2-p)+y(x^2-p)=5p
x
(
y
2
−
p
)
+
y
(
x
2
−
p
)
=
5
p
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