Arbitrarily long gaps between prime numbers, i. e. if n is a positive integer then there is a sequence of n consecutive composite numbers. 2. this exercise will show that there are (a) set a (b) suppose n 2, show that 3|(a+1). here a is as in a) above (c) let 0 i 2 to conclude that a is composite. (d) conclude that, for all i such that 0