Erdős problem 406 · problems.science

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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Technical detailsExact roots, source, and retained record identifiers

Problem row: sha256:f949094601c9d2203c1504ba41cd6fb14f4a2c747d92befeb211c122b6e67767
Metadata: sha256:e5a57fd4e06abc660afd7e4dcb232bb8f13d63580aede81048a36f91db7519ba
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:91a96246b880198ef6b3be521f2e32fd08690622c7aaa35c1b5eee7a7a54a8e2

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207