"To run a primary" means to organize and hold an election within a political party to choose the party's candidate for an upcoming election.
Sentences with «to run a primary»
The analysis compared the performance of test results of academies with local authority run primary schools in similar circumstances. (educationbusinessuk.net)
However, he said he would still consider running a primary if he is not endorsed because he believes he is the best candidate. (nystateofpolitics.com)
The cost of running primaries also seems to be a step in the wrong direction. (dprvoting.org)