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Balkan MO
1998 Balkan MO
4
x^2+4 = y^5
x^2+4 = y^5
Source: Balkan MO 1998, Problem 4
April 24, 2006
modular arithmetic
number theory proposed
number theory
Problem Statement
Prove that the following equation has no solution in integer numbers:
x
2
+
4
=
y
5
.
x^2 + 4 = y^5.
x
2
+
4
=
y
5
.
Bulgaria
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