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.

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.
Social Science

Iannis Xenakis used eight so-called "sound complexes" in a solo work for this instrument called Nomos Alpha. Six beats on the body of these instruments begin the main theme in Arvo Part's orchestration of Fratres for twelve of them. An ensemble consisting entirely of these instruments was founded in the 1970s by twelve members of the Berlin Philharmonic. The first of Villa-Lobos's Bachianas Brasileiras was composed for (*) eight of these instruments, while Jacqueline du Pre popularized Edward Elgar's concerto for it. J.S. Bach's six unaccompanied suites for this instrument were famously recorded by both Mstislav Rostropovich and Pablo Casals. For 10 points, name this instrument played by Yo-Yo Ma which joins two violins and a viola in a string quartet.
Fine Arts

The speaker of this work describes watching a Potter "thumping his wet clay." One version of this work opens with a description of "Morning in the Bowl of the Night" and with the command "Awake!" This work contains the line "the Moving Finger writes; and, having writ / Moves on." One translation of this work describes (*) "singing in the Wilderness" along with "A Book of Verses underneath the Bough / A Jug of Wine, a Loaf of Bread--and Thou" and was made by Edward Fitzgerald. It consists of four line poems called quatrains. For 10 points, name this series of poems by the Persian poet Omar Khayyam.
Literature