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On the equation x^8 + 2^{2^x+2} = p (x ∈ Z, p ∈ P)

Source: Greek National Mathematical Olympiad 2008 - P2

November 17, 2011
number theorynumber theory proposed

Problem Statement

Find all integers xx and prime numbers pp satisfying x8+22x+2=px^8 + 2^{2^x+2} = p.
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