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.
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Question: Paulo Ribenboim proved in 1991 that the set of these is Diophantine, and in 1912 Edmund Landau proposed four "unattackable problems" dealing with them, none of which have yet been solved. The theorem named for them states that the number of them less than or equal to n is approximately equal to n divided by the natural logarithm of n. The GIMPS project seeks to find examples of the Mersenne type of this number, ordinary examples of which can be found using the sieve of Eratosthenes. For 10 points, identify these numbers whose only two factors are 1 and itself.

Answer: Social Science


Question: The title character becomes engaged to two women and invites them both to lunch. This novel begins in Elk Hills, where the title character grows up under the tutelage of Doc Vickerson. While a research fellow at the McGurk Institute, the title character discovers the X Principle that might prove a cure for disease, though he learns it was already discovered at the Pasteur Institute. Mentors in this novel include Max Gottlieb and Gustave Sondelius, and the title character's wife Leora dies from the plague on the island of St. Hubert. FTP, identify this novel about a research scientist by Sinclair Lewis.

Answer: Literature


Question: The amount of error created by applying this theorem to intermediate values is the subject of the\n Berry-Esseen theorem. The Cramer-Wold theorem can be used to generalize this in a multivariate manner.\n The de Moivre-Laplace theorem is a special case of this. One statement of this is named for Feller and\n Lindeberg and this is true when Lyapunov's condition holds. A rule of thumb resulting from this is that one\n should have a minimum of 30 in a sample when the population is non-Gaussian. When sampling, this\n theorem implies a distribution with standard deviation sigma over square root n. For 10 points, name this\n theorem that implies as sample sizes get larger, the distribution of sample means approaches a normal\n distribution.

Answer:
Science