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IKMC 2010 - Grades 9-10 - Self-study Question 27

IKMC · IKMC 2010 - Grades 9-10 - Self-study

Question 27

Each pentagon side bears a natural number. Adjacent numbers have no common divisor greater than 1; nonadjacent numbers always have a common divisor greater than 1. Which listed number can never occur?

Editorial note: the printed single-answer question has more than one correct option. Select every impossible number.
  1. 16
  2. 18
  3. 19
  4. 21
  5. 22