Solved: Prime numbers The prime numbers are those positive
Chapter 8, Problem 64(choose chapter or problem)
Prime numbers The prime numbers are those positive integers that are divisible by only 1 and themselves (for example, 2, 3, 5, 7, 11, 13, c). A celebrated theorem states that the sequence of prime numbers 5pk6 satisfies lim kS_ pk>1k ln k2 = 1. Show that a _ k = 2 1 k ln k diverges, which implies that the series a _ k = 1 1 pk diverges.
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