"while primarily" is correct and can be used in written English.
This phrase is used to indicate that something is mainly or primarily the case, but there could also be other factors at play. Example: While primarily a comedy, the movie also had some poignant moments.
Mr. Lieberman's show, while primarily entertaining, is highly instructive, with themes geared for the college student.
While primarily intended for the CfA community, the meeting is open to astronomers from other institutions.
The books, while primarily intended to entertain, packed in more than a pinch of kid-friendly feminism.
While primarily an artist, Gutiérrez also lectures on Zapotec weaving and natural dyes at universities, arts foundations, and museums.
The participants, while primarily from engineering and physics, will also include representatives from business, art, journalism, law and education.
He hit.314 while primarily playing first base, as well as the outfield and third base, then opted for free agency and was signed by the Reds.
The chaikhana doubles as an informal courthouse and newsstand, and while primarily for males, I've never been made to feel unwelcome.
While primarily focused on Jews, the organization's commitment to aiding non-Jews in need of legal representation also quickly became evident.
The Vanderbilt Club, 1362 Northern Boulevard, Manhasset, L.I., (516) 627-2030, while primarily a bridge club, also has a substantial backgammon clientele.
While primarily a commercial and distributing centre, Akureyri is also a fishing port, agricultural market, and manufacturing centre for fish and dairy products.
While primarily related to ecology, Levin's work also has analyzed conservation, financial and economic systems, and the dynamics of infectious diseases and antibiotic resistance.
