In this task, you are given a passage and a question regarding that passage. You must determine whether or not the question is answerable from the given passage. If a question is answerable, output should be 'True', otherwise 'False'. You must not consider any other information that is not provided in the passage while labelling True or False.
--------
Question: Passage: are prime for any natural number n. Here represents the floor function, i.e., largest integer not greater than the number in question. The latter formula can be shown using Bertrand's postulate (proven first by Chebyshev), which states that there always exists at least one prime number p with n < p < 2n 2, for any natural number n > 3. However, computing A or requires the knowledge of infinitely many primes to begin with. Another formula is based on Wilson's theorem and generates the number 2 many times and all other primes exactly once. Question: Who first proved Bertrands prime?

Answer: False

Question: Passage: France took control of Algeria in 1830 but began in earnest to rebuild its worldwide empire after 1850, concentrating chiefly in North and West Africa, as well as South-East Asia, with other conquests in Central and East Africa, as well as the South Pacific. Republicans, at first hostile to empire, only became supportive when Germany started to build her own colonial empire. As it developed, the new empire took on roles of trade with France, supplying raw materials and purchasing manufactured items, as well as lending prestige to the motherland and spreading French civilization and language as well as Catholicism. It also provided crucial manpower in both World Wars. Question: Where did France focus its efforts to not rebuild its empire?

Answer: False

Question: Passage: However, some computational problems are easier to analyze in terms of more unusual resources. For example, a non-deterministic Turing machine is a computational model that is allowed to branch out to check many different possibilities at once. The non-deterministic Turing machine has very little to do with how we physically want to compute algorithms, but its branching exactly captures many of the mathematical models we want to analyze, so that non-deterministic time is a very important resource in analyzing computational problems. Question: What is the least critical resource in the analysis of computational problems associated with non-deterministic Turing machines?

Answer:
False