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TIMO 2019 - Senior Secondary (Grades 10-12) - Preliminary Round - Paper 3 Question 3

TIMO · TIMO 2019 - Senior Secondary (Grades 10-12) - Preliminary Round - Paper 3

Question 3

Primes $x,y,z$ satisfy $6x^y+y^x=3z$. Find the minimum possible $z$.
  1. 19
  2. 17
  3. 31
  4. 29