MathDB

1

Part of 2019 MMATHS

Problems(1)

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

Source:

10/7/2023
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).
number theoryMMATHS