(2) The primary election shall be held on the third Tuesday in May of each even-numbered year. At the primary election precinct committeepersons shall be elected and major political party candidates shall be nominated for offices to be filled at the general election held in that year. [1979 c.190 §229; 1979 c.316 §20a; 1987 c.267 §1; 1995 c.712 §1; 1999 c.59 §64; 1999 c.999 §28; 2001 c.965 §12; 2003 c.542 §7]