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VTMO 2026 - Grade 7 - Final - SET 3 - Self-study Question 3

VTMO · VTMO 2026 - Grade 7 - Final - SET 3 - Self-study

Question 3

A natural number is called “interesting” if it is the product of exactly two primes, which may be equal. Give three consecutive natural numbers that are all interesting. Prove that four consecutive natural numbers cannot all be interesting.