MathDB
13rd ibmo - rep. dominicana 1998/q3.

Source: Spanish Communities

April 16, 2006
number theory unsolvednumber theory

Problem Statement

Find the minimum natural number nn with the following property: between any collection of nn distinct natural numbers in the set {1,2,,999}\{1,2, \dots,999\} it is possible to choose four different a, b, c, da,\ b,\ c,\ d such that: a+2b+3c=da + 2b + 3c = d.