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Danube Competition in Mathematics
2019 Danube Mathematical Competition
1
p^3-4p+9 is perfect square
p^3-4p+9 is perfect square
Source:
February 9, 2014
modular arithmetic
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number theory
Problem Statement
Find all prime
p
p
p
numbers such that
p
3
ā
4
p
+
9
p^3-4p+9
p
3
ā
4
p
+
9
is perfect square.
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