MathDB
Unique rational sum

Source: ICMC 2021 Round 1 P4

March 1, 2022
combinatoricspositive rationalscollege contestsICMC

Problem Statement

Does there exist a set R\mathcal{R} of positive rational numbers such that every positive rational number is the sum of the elements of a unique finite subset of R\mathcal{R}?
Proposed by Tony Wang
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