Erdős problem 406

Is it true that there are only finitely many powers of $2$ which have only the digits $0$ and $1$ when written in base $3$ ?

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The source's own material, retained exactly.

2 retained statements36c6d0fef71a

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FormalConjectures/ErdosProblems/

406.lean

Retained formal statement1 of 2

Is it true that there are only finitely many powers of $2$ which have only the digits $0$ and $1$ when written in base $3$ ?

FormalConjectures/ErdosProblems/406.leanErdos406.erdos_4061 lineExact file

1True ↔ {n | n.isPowerOfTwo ∧ Nat.digits 3 n ⊆ [0, 1]}.Finite

OpenStatement only, no proof