IMO 1970 Problem 4

Day 2

Find all positive integers $n$ such that the set $\{n,n+1,n+2,n+3,n+4,n+5\}$ can be partitioned into two subsets so that the product of the numbers in each subset is equal.

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 1970 official English paper, page 1.

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