See all Pubs in Pocatello Pocatello for: Adventure, Food And Dining, Art And Culture, Nightlife, Spa, History, First Timers, Family, Romance, Shopping First National Bar About The First National Bar in downtown Pocatello is a perennial favorite among ISU students and locals alike. Known locally as simply the "First Nash," the bar often features live blues music on the weekends. Phone: (208) 233-1516. Add to Wish List