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P2 Bosnia and Herzegovina JBMO TST

Source: Bosnia and Herzegovina JBMO TST 2018

July 14, 2018
number theoryPrime numberDiophantine equationExponential equation

Problem Statement

Find all integer triples (p,m,n)(p,m,n) that satisfy: pmāˆ’n3=27p^m-n^3=27 where pp is a prime number.
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