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Turkey MO (2nd round)
2009 Turkey MO (2nd round)
1
Turkey NMO 2009 Q1
Turkey NMO 2009 Q1
Source:
August 31, 2010
modular arithmetic
number theory proposed
number theory
Problem Statement
Find all prime numbers
p
p
p
for which
p
3
ā
4
p
+
9
p^3-4p+9
p
3
ā
4
p
+
9
is a perfect square.
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