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IMO 1970 — Shortlisted problems Question 4

IMO Shortlist · IMO 1970 — Shortlisted problems

Question 4

(CZS 1; IMO 4) For what natural numbers $n$ can the product of some of the numbers $n,n+1,n+2,n+3,n+4,n+5$ be equal to the product of the remaining ones?