Utah Code Ann. § 20A-1-503
(1) As used in this section:
(a) "Filing deadline" means the final date for filing:
(3)
(4)
(a) If a vacancy described in Subsection (3)(a) occurs after the filing deadline but before August 31 of an even-numbered year in which the term of office does not expire, the lieutenant governor shall:
(i) establish a date and time, which is before the date for a candidate to be certified for the ballot under Section 20A-9-701 and no later than 21 days after the day on which the vacancy occurred, by which a person intending to obtain a position on the ballot for the vacant office shall file:
(ii) give notice of the vacancy and the date and time described in Subsection (4)(a)(i):
(b) A person intending to obtain a position on the ballot for the vacant office shall:
(ii) run in the regular general election if: