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Greece National Olympiad
2008 Greece National Olympiad
2
2
Part of
2008 Greece National Olympiad
Problems
(1)
On the equation x^8 + 2^{2^x+2} = p (x ∈ Z, p ∈ P)
Source: Greek National Mathematical Olympiad 2008 - P2
11/17/2011
Find all integers
x
x
x
and prime numbers
p
p
p
satisfying
x
8
+
2
2
x
+
2
=
p
x^8 + 2^{2^x+2} = p
x
8
+
2
2
x
+
2
=
p
.
number theory
number theory proposed