That includes the prime minister, Lotay Tshering, who received his first vaccine dose last month while in quarantine after a visit to Bangladesh. He has been supporting the vaccination effort in recent weeks on his official Facebook page. “My days are dotted with virtual meetings on numerous areas that need attention, as I closely follow the vaccination campaign on the ground,” Tshering, a surgeon, wrote in early April. “So far, with your prayers and blessings, everything is going well.” The economy in Lunana depends on animal husbandry and harvests of a so-called caterpillar fungus that is prized as an aphrodisiac in China. People speak Dzongkha, the national language, and a local dialect. Last year, the drama “Lunana: A Yak in the Classroom” became the second film ever selected to represent Bhutan at the Academy Awards. It was filmed using solar batteries, and its cast included local villagers. Lunana’s headman, Kaka, who goes by one name, said the most important part of the vaccination campaign was not on the ground but in the sky. “If there hadn’t been a chopper,” he said, “getting the vaccines would have been an issue, since there’s no access road.”