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Erdős problem 226

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

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:8a9b8fa9e0ce206918eb31c9003a6d918be0fb2947aa1515f0e9fc4f2976df97
Metadata
sha256:8bb3b8abe920f3ddabf7f37ecffe44ae2f6d7be5fe4d880ee7db603ea0a47e33
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:e2317e204f8514cd4fa68d220760cb5028d555f9f9f2b0ae3924c4a94e67b536
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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