1. The year 1896 saw a record-breaking temperature high of 76 degrees Fahrenheit in Cheyenne, Wyoming on January 4th. This was an unusual occurrence for the month of January, as typically the weather in Wyoming is quite cold during this time.

2. On January 4, 1934, a devastating rockslide occurred near Jackson Hole, Wyoming. The slide was estimated to have been caused by a combination of heavy snowfall and rain, along with a lack of vegetation to anchor the rocks in place. The slide covered an area of approximately 5,000 acres and caused significant damage to the landscape.

3. January 4, 1890, marked the opening of the Wyoming State Penitentiary in Rawlins. The prison was the first of its kind in the state and was built to house inmates from throughout Wyoming. Over the years, the prison has seen several high-profile inmates, including notorious bank robber Butch Cassidy.

4. In 1913, the town of Douglas, Wyoming experienced a significant fire on January 4th. The fire destroyed nearly the entire downtown area of the town, including several businesses, a hotel, and a bank. The fire was considered one of the worst in Wyoming's history and resulted in significant rebuilding efforts in the town.

5. On January 4, 1975, a significant snowstorm hit the state of Wyoming, causing widespread power outages and travel difficulties. The storm dumped nearly two feet of snow on some areas of the state and resulted in several deaths and injuries from accidents related to the storm. The storm was considered one of the worst in Wyoming's history.