'such prestigious' is correct and usable in written English.
You can use it to describe something that is well respected and esteemed. For example, "He received such prestigious honors for his work."
Will such prestigious nominations do anything to change their mind?
Evans is clearly delighted with the booking of such prestigious celebrity.
The Oklahoma women's team was not always in such prestigious company.
It also manages such prestigious institutions as the Bascom-Palmer Eye Institute in Miami.
Gene started his professional career in the advertising industry first writing copy then switching to account management at such prestigious firms as Doyle Dane Bernbach and Ted Bates.
The university says that the combination of three such prestigious institutions opens up new possibilities for multi-disciplinary education and research.
Various branches of the family own such prestigious châteaux as Lafite-Rothschild and Mouton-Rothschild and a host of lesser-known properties in the area.
By virtue of it being our debut, it obviously means a lot to us, and it's great for it to be recognised among such prestigious talent".
The white circuit included such prestigious routes as the Orpheum Circuit and such acts as that of Fred and Adele Astaire.
Critics say her record of scholarly writing is thin, relative to that of other academics, for someone who has received choice positions at such prestigious law schools.
From there he moved on to such prestigious drama anthologies as "Kraft Television Theater," "The Best of Broadway" and "Philco Television Playhouse".
