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HKIMO 2026 THPT (Grades 10–12 shared) National Final (Heat) Set 05 Question 3

HKIMO · HKIMO 2026 THPT (Grades 10–12 shared) National Final (Heat) Set 05

Question 3

Primes $x,y$ satisfy $x^2-y^3=1$. Find $x+y$.