a. Prove that n! + 2 is divisible by 2, for all integers n 2. b. Prove that n! + k is

Chapter 5, Problem 77

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a. Prove that n! + 2 is divisible by 2, for all integers n 2. b. Prove that n! + k is divisible by k, for all integers n 2 and k = 2, 3,..., n. H c. Given any integer m 2, is it possible to find a sequence of m 1 consecutive positive integers none of which is prime? Explain your answer

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