The phrase "primary concerns of" is grammatically correct and can be used in written English.
Example: The primary concerns of the company's shareholders are profit and growth.
Common street crime and health maintenance should be the primary concerns of travelers to Peru.
I totally understand these are the primary concerns of local people.
All the same, the primary concerns of the course will be philosophical, rather than technical.
Contraceptive efficacy and side effects are primary concerns of women when choosing a contraceptive method.
Research on physiology, human factors, human rating, and training are some of the primary concerns of this domain.
But whatever the Meadowlands proposal recommends, it cannot meet one of the primary concerns of Mr. Chambers, the leader of the Nets' new owners -- helping to revitalize Newark.
This, after all, is a primary concern of legalisation opponents.
The primary concern of most people of working age is not conditions but the work itself.
Within five years, geriatrics will be the primary concern of all graduating physicians.
This is not a primary concern of individuals, physicians, or health-care organizations.
Health has been a primary concern of human beings throughout history.
