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HKIMO 2018 THPT (Grades 10–12 shared) National Final (Heat) Set 03 Question 3

HKIMO · HKIMO 2018 THPT (Grades 10–12 shared) National Final (Heat) Set 03

Question 3

Prime numbers x,y,z satisfy $6x^y+y^x=3z$. Find the smallest z.