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Junior Balkan MO
2009 Junior Balkan MO
2
2^a 3^b + 9 = c^2
2^a 3^b + 9 = c^2
Source: JBMO 2009 Problem 2
June 27, 2009
number theory proposed
number theory
Problem Statement
Solve in non-negative integers the equation 2^{a}3^{b} \plus{} 9 \equal{} c^{2}
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