Erdős problem 674

Are there any integer solutions to $x^xy^y=z^z$ with $x,y,z>1$ ?

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Technical detailsExact roots, source, and retained record identifiers

Problem row: sha256:e2f5aa94bdede0c2ce27fd75277b8de8892d6a4fdc472006dfdcfe488e018d33
Metadata: sha256:dfcb9791a3340f64ab1427ba034fdb244d97ff7d21a5122d58e3faed4406b7c4
Observation: sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content: sha256:8a893cbfe33ad1c2fadcf00a37953cfaa46ad2cf4ee1173faf20ee907046e2ee

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit: 36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb