Chapter 4.3, Problem 12E

(a)

To determine

The list all the primes less than 200 by using Sieve of Eratosthenes. Also, find the value of $\pi \left(200\right)$ and approximate values of $200/\ln 200$ and $\frac{\pi \left(200\right)}{200/\ln 200}$(three decimal place accuracy).

(b)

To determine

The list all the primes less than 500 by using Sieve of Eratosthenes. Also, find the value of $\pi \left(500\right)$ and approximate values of $500/\ln 500$ and $\frac{\pi \left(500\right)}{500/\ln 500}$ (three decimal place accuracy).