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

In her essay "A Bolter and the Invincible Summer" she admits to frequently skipping classes at convent school. Her more recent novels, The Pickup and The House Gun, are much less political than her first work, the story collection The Soft Voice of the Serpent. She furthered her political views in The Conservationist and July's People. However, it was The Burger's Daughter that was banned in her country for its stark portrayal of an entrenched discriminatory system. FTP, name this South African winner of the 1991 Nobel in Literature.
Literature

Formally, this agreement consisted of its namesake treaty, as well as the Treaty of Baden and Rastatt. France agreed to transfer the Spanish Netherlands to Austria and granted mutual most-favored-nation status to Britain and the Dutch Republic. Spain ceded Gibraltar to Britain and Sicily to Savoy. In the New World, the French were forced to turn over Nova Scotia, Newfoundland, Hudson Bay, and most notably Port Royal to the British. This treaty ended French hegemony in the New and Old Worlds. FTP, identify this 1713 agreement that ended the War of the Spanish Succession.

History

