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Balkan MO
2005 Balkan MO
2
Balkan 2005-2
Balkan 2005-2
Source:
May 6, 2005
quadratics
calculus
integration
number theory unsolved
number theory
Problem Statement
Find all primes
p
p
p
such that
p
2
ā
p
+
1
p^2-p+1
p
2
ā
p
+
1
is a perfect cube.
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