Conn. Gen. Stat. § 9-417

(b) In the case of any municipality having a population of one hundred thousand or more and in which a party by its rules provides, pursuant to subsection (g) of section 9-390 , that the town committee members of such party be chosen at direct primaries, if, by four o'clock p.m. on the forty-ninth day preceding the first Tuesday in March in even-numbered years, the number of persons who have requested petition forms for candidacies for election as members of such town committee and filed a signed statement consenting to be a candidate for such position, in accordance with subsection (c) of section 9-409 , is equal to or less than the number of town committee members to be elected by such party, but at least twenty-five per cent of such number, in accordance with section 9-411 , then (1) the requirements regarding such persons' filing of candidacies for election under section 9-405 and signed petitions under section 9-406 shall not apply, (2) the requirements regarding the registrar's receipt of petition pages and certification of signatures on such pages under section 9-412 shall not apply, and (3) no primary shall be held by such party for town committee members and such persons shall be deemed to have lawfully been elected to such positions at the times specified in section 9-392 . As used in this subsection, “population” means the estimated number of people according to the most recent version of the State Register and Manual prepared pursuant to section 3-90 .