Fremont County had no active rigs at work last week.
Wyoming's count was unchanged, but the number of rigs exploring for oil and natural gas in the U.S. increased by 12last week to 952.
A year ago, just 440 rigs were active.
Houston oilfield services company Baker Hughes said Friday that 763 rigs sought oil, and 189 explored for natural gas this week.
Among major oil- and gas-producing states, Oklahoma and Alaska each gained four rigs. Louisiana and Texas were up two apiece.
New Mexico and Utah each declined by one.
Arkansas, California, Colo-rado, Kansas, North Dakota, Ohio, Pennsylvania, West Virginia and Wyoming were all unchanged.
Wyoming's count was 24 overall. Eleven were natrual gas rigs, all in Sublette County.
Oil rigs accounted for the remaining 13 in the state, mostly in the southeast quadrant of the state.
Fremont County had no active rigs last week.
The U.S. rig count peaked at 4,530 in 1981. It bottomed out in May of 2016 at 404.