MathDB

8

Part of 2009 Baltic Way

Problems(1)

Extension of a classic - product of elements of subsets

Source: Baltic Way 2009

11/27/2010
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.
modular arithmeticnumber theory proposednumber theory