MathDB
Extension of a classic - product of elements of subsets

Source: Baltic Way 2009

November 27, 2010
modular arithmeticnumber theory proposednumber theory

Problem Statement

Determine all positive integers nn for which there exists a partition of the set {n,n+1,n+2,,n+8}\{n,n+1,n+2,\ldots ,n+8\} into two subsets such that the product of all elements of the first subset is equal to the product of all elements of the second subset.