Minn. Stat. § 204D.21: TIME OF SPECIAL PRIMARY.

Subdivision 1. Nomination at state primary.

When a special election is to be held on the same day as the state general election, as provided in section 204D.19, subdivision 1, candidates for nomination to fill the vacancy shall be nominated at the state primary.

Subd. 2. Nomination at special primary on day of regular primary.

Candidates for nomination to fill a vacancy shall be nominated at a special primary on the day of the regular state primary when the vacancy is to be filled at a special election to be held more than 14 days after the regular state primary.

Subd. 3. Nomination at special primary on other day.

In all cases other than those provided in subdivisions 1 and 2, a special primary for the nomination of candidates shall be held not later than the 14th day before the special election.