instruction:
In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.
question:
These quantities are the arguments of the logarithms in the von Mangoldt function, which is itself summed to yield the second Chebyshev function. Using the evenly-spaced integer topology, Furstenberg re-proved that there were aleph-null many of these values. The work of Goldston et al. employing the Elliott-Halberstam conjecture was a precursor to Zhang's proof of bounded gaps between them. Thanks to the AKS algorithm, it is polytime-decidable whether or not a number is one of these numbers. The distribution of these numbers is described by the law "pi of x is asymptotic to x over log x," where "pi of x" is the function that counts these numbers. They are typically generated by sieving, as originally done by Eratosthenes. For 10 points, what numbers are divisible only by one and themselves
answer:
Science

question:
This dynasty continued a system in which one month out of every five was given to military service by those who lived within 500 li of the capital; that was the Fubing system. A Buddhist savings bank stocked by donations was liquidated during this dynasty and was called the "Inexhaustible Treasury." Governors known as "jiedushi" first sprang up during this period under emperor (*) Xuanzong. A major insurrection during this dynasty ended after Shi Chaoyi killed himself. This dynasty was interrupted by the second Zhou dynasty when Ruizong announced that his mother, Wu Zetian, would be emperor. For 10 points, name this Chinese dynasty that lasted from 618 until 907 and faced the An Lushan rebellion.
answer:
History

question:
Issachar J. Roberts, the Southern Baptist who inspired this movement, refused to baptize its leader, though he had been the first missionary to depart Macau, one year after the British arrived nearby. When Yang Xiuqing, its minister of state, threatened to usurp the leader's title, he was killed by General Wei Changgui, who was then himself assassinated. It was put down by Tsing Kuofan, who took Nanking after Frederick Townsend Ward, Charles Gordon, and the Ever-Victorious Army had kept its adherents out of Shanghai. FTP, name this "Heavenly Kingdom of Great Peace," an uprising against the Qing dynasty led by Hong Xiuquan.
answer:
History