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Omni-MATH / Determine if there exists a finite set A of positive integers satisfying the following condition: for each a∈A at least one of two numbers 2a and (a)/(3) belongs to A.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Determine if there exists a finite set AA of positive integers satisfying the following condition: for each a∈Aa\in{A} at least one of two numbers 2a2a and a3\frac{a}{3} belongs to AA.
Plain-text mathematical notation (without MathML)
Determine if there exists a finite set A of positive integers satisfying the following condition: for each a∈A at least one of two numbers 2a and
(a)/(3) belongs to A.
Original LaTeX notation
Determine if there exists a finite set $A$ of positive integers satisfying the following condition: for each $a\in{A}$ at least one of two numbers $2a$ and
$\frac{a}{3}$ belongs to $A$.

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Source and history

task_id
f10a2782-0b2f-5c83-9f8d-884525eb5c39
task_key
test--f10a2782-0b2f-5c83-9f8d-884525eb5c39
task_revision_id
1
config / split
/ test

Official source

initial import