MathDB

1

Part of 1977 Bundeswettbewerb Mathematik

Problems(2)

Bundeswettbewerb Mathematik 1977 Problem 1.1

Source: Bundeswettbewerb Mathematik 1977 Round 1

10/10/2022
Among 20002000 distinct positive integers, there are equally many even and odd ones. The sum of the numbers is less than 3000000.3000000. Show that at least one of the numbers is divisible by 3.3.
Integersalgebranumber theorySumdivisible
every natural number sum of a + b

Source:

9/14/2006
Does there exist two infinite sets A,BA,B such that every number can be written uniquely as a sum of an element of AA and an element of BB?
number theory unsolvednumber theory