MathDB
2019 MMATHS Tiebreaker p1 - 3 numbers missing from set of pos. integers

Source:

October 7, 2023
number theoryMMATHS

Problem Statement

SS is a set of positive integers with the following properties: (a) There are exactly 33 positive integers missing from SS. (b) If aa and bb are elements of SS, then a+ba + b is an element of SS. (We allow a and b to be the same.) Find all possibilities for the set SS (with proof).
Back to ProblemsView on AoPS