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(6.5) A different bound: Recall that the function 7(x) counts the number of primes less than or equal to x. (i) In terms of
(6.5) A different bound: Recall that the function 7(x) counts the number of primes less than or equal to x. (i) In terms of this function, how many primes are there greater than n but less than or equal to 2n? (ii) For any prime p that satisfies n < p 2n, what is the largest power of p that divides (2n)? (iii) Explain why, if M is the integer you found in part (i) (expressed in terms of the -function), then: 2n (n)M n
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