This is the 15804th most frequent Polish word.
sławnego
"Famous."
Here, "sławnego" is used as an adjective to describe "artysty" (artist), indicating that the artist is renowned.
Odwiedziłem muzeum sławnego artysty.
I visited the museum of a famous artist.
In this sentence, "sławnego" is an adjective modifying "pisarza" (writer), which denotes that the writer possesses fame.
Czytałam książkę sławnego pisarza.
I read the book by a famous writer.
"Sławnego" again functions as an adjective describing "reżysera" (director), suggesting the director is well-known.