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:
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 acceleration named for this person can take place when particles repeatedly cross the shock front caused by a supernova. The type of gas named for this person exerts pressure even at absolute zero. This person and Paul Dirac worked out the statistical distribution of particles that obey the Pauli Exclusion Principle, which is why such particles are named for this person. Those particles, which have non-integer spins, are contrasted with particles named for Satyendra Nath Bose. Name this Italian American who created Chicago Pile-1 in 1942, the first man-made nuclear chain reaction.
answer:
Science

question:
This mans brother was a general who won victories at the Battle of the Angivarian Wall and the Battle of the Weser River. Early in this rulers reign, he had to put down the rebellion of Scribonianus in Dalmatia. That same year, he formally annexed Phamphylia and Lycia as Roman provinces. Forces he sent to another future province did battle with Caratacus under the command of the general Aulus Plautius, and he himself was present at the surrender of Camulodonum, the last British stronghold. His dysfunctional personal life included one wife who had an affair with Silius, whom he executed, and a wife named Aggripina, who may have killed him with poisoned mushrooms. For ten points, name this Roman Emperor, a noted scholar who ruled between Caligula and Nero.
answer:
History