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Turkey NMO 2001 Problem 4, Diophant Equation

Source: Turkey NMO 2001 Problem 4

September 30, 2011
number theory proposednumber theory

Problem Statement

Find all ordered triples of positive integers (x,y,z)(x,y,z) such that 3x+11y=z23^{x}+11^{y}=z^{2}
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