Erdős problem 226 · problems.science

Is there an entire non-linear function $f$ such that, for all $x\in\mathbb{R}$ , $x$ is rational if and only if $f(x)$ is?

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Technical detailsExact roots, source, and retained record identifiers

Problem row: sha256:8a9b8fa9e0ce206918eb31c9003a6d918be0fb2947aa1515f0e9fc4f2976df97
Metadata: sha256:8bb3b8abe920f3ddabf7f37ecffe44ae2f6d7be5fe4d880ee7db603ea0a47e33
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:e2317e204f8514cd4fa68d220760cb5028d555f9f9f2b0ae3924c4a94e67b536

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