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"first rank" is correct and usable in written English
You can use it to refer to someone or something being the highest quality, highest rated, or most important. For example, "She was a student of first rank."
Exact(49)
With uniform preference distributions, the first rank reversal probability increased to 61%%.
He was, after all, a fashion guru of the first rank.
"There are very few American plays of the first rank.
Judi Dench (Second gear Judi is still first rank).
Fitzsimmons was not a champion of the first rank.
Emerson's verdict on her poetry — praiseworthy but not in the first rank — seems just.
Similar(10)
The show boasts only a few first-rank names.
There has never been a first-rank woman artist.
All night, I'd been wondering why the Met brought a first-rank cast and a first-rank director together with a second-rank conductor, Sebastian Weigle.
On female artists "There has never been a first-rank woman artist.
July 16: The drummer Ignacio Berroa, a first-rank musician's musician, fronts a quartet.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com