MathDB

3

Part of 2009 China Northern MO

Problems(1)

6 numbers in 26 one of them can be devided by the other 5 numbers .

Source: China Northern MO 2009 p3 CNMO

12/12/2020
Given 2626 different positive integers , in any six numbers of the 2626 integers , there are at least two numbers , one can be devided by another. Then prove : There exists six numbers , one of them can be devided by the other five numbers .
number theorydivides