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IMO 1988 - Shortlisted problems Question 20

IMO Shortlist · IMO 1988 - Shortlisted problems

Question 20

(MON 4) Find the least natural number $n$ such that if the set $\{1,2,\ldots,n\}$ is arbitrarily divided into two nonintersecting subsets, then one of the subsets contains three distinct numbers such that the product of two of them equals the third.