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Diophantine Equation (Turkey EGMO TST 2014)

Source: (Turkey EGMO TST 2014)

August 5, 2016
number theoryDiophantine equation

Problem Statement

pp is a prime. Find the all (m,n,p)(m,n,p) positive integer triples satisfy m3+7p2=2nm^3+7p^2=2^n.
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