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2000 Greece National Olympiad
Problems
(1)
Prime number and perfect square
Source: Greek national M.O. 2000, Final Round, problem 2
11/20/2011
Find all prime numbers
p
p
p
such that
1
+
p
+
p
2
+
p
3
+
p
4
1 +p+p^2 +p^3 +p^4
1
+
p
+
p
2
+
p
3
+
p
4
is a perfect square.
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number theory