There are 25 prime numbers less than 100. The Prime Number Theorem states that the number of primes less than x approaches p(x) ≈ x / lnx . Use this approximation to estimate the rate (in primes per 100 integers) at which the prime numbers occur when (a) x = 1000. (b) x = 1,000,000. (c) x = 1,000,000,000.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.