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HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 04 Question 3

HKIMO · HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 04

Question 3

Primes $x,y,z$ satisfy $2x^y+y^x=z$. Find the smallest $z$.
  1. 101
  2. 493
  3. 89
  4. 79