On the first Tuesday in April of each year in which the President of the United States is to be elected, each party shall conduct a primary in each town if the names of two or more candidates are to be placed on such party's ballot in accordance with the provisions of this chapter.
Conn. Gen. Stat. § 9-464
(P.A. 77-535, S. 2; P.A. 79-481, S. 2; P.A. 83-475, S. 37, 43; P.A. 90-156, S. 8; June Sp. Sess. P.A. 91-3 , S. 50 , 168 ; P.A. 95-95 , S. 1 ; P.A. 07-132 , S. 1 ; P.A. 11-143 , S. 1 .)