Question 4: The ________ mathematics department owns the computer on which the discovery was made and received half of the prize money, with the remainder going to charity and future research.

Question 6: The occurrence of individual prime numbers among the ________ is (so far) unpredictable, even though there are laws (such as the prime number theorem and Bertrand's postulate) that govern their average distribution.

Question 7: For example, in knot theory, a prime knot is a knot which is indecomposable in the sense that it cannot be written as the ________ of two nontrivial knots.

Question 8: Primes are applied in several routines in information technology, such as ________, which makes use of the difficulty of factoring large numbers into their prime factors.

Question 9: Arithmetic questions related to, global fields such as Q may, in certain cases, be transferred back and forth to the completed fields (known as ________), a concept known as local-global principle.