MathDB
O 45

Source:

May 25, 2007
quadraticspigeonhole principlenumber theoryrelatively prime

Problem Statement

Find all positive integers nn with the property that the set {n,n+1,n+2,n+3,n+4,n+5}\{n,n+1,n+2,n+3,n+4,n+5\} can be partitioned into two sets such that the product of the numbers in one set equals the product of the numbers in the other set.