Utah Code Ann. § 20A-1-502
(1) Except as provided in Subsections (2) and (3), when a vacancy occurs in the office of United States senator, the governor shall, within seven days after the day on which the vacancy occurs, issue a proclamation calling a special congressional election to fill the vacancy that:
(a) sets a date for a primary congressional special election, and a later date for a general congressional special election, on the same day as one of the following elections:
(e) for each qualified political party, provides at least 21 days, but no more than 28 days:
(2)
(a) The governor may set a date for a primary special congressional election or a general special congressional election on a date other than a date described in Subsection (1)(a) if:
(3) A special congressional election to fill a vacancy in the office of United States senator will not be held if:
(4)
(b) The individual appointed under Subsection (4)(a) shall serve as United States senator until the earlier of the day on which:
(6) A vacancy in the office of United States senator does not occur unless the senator: