An algorithm exists to find all prime numbers less than some given positive integer n

Chapter 2, Problem 51

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An algorithm exists to find all prime numbers less than some given positive integer n. This method, called the Sieve of Eratosthenes, was discovered by Eratosthenes, a student of Plato. To carry out this algorithm, list all integers from 1 through n 1. Then make repeated passes through the list, on the first pass crossing out all multiples of 2 that are greater than 2. On the second pass cross out all multiples of 3 that are greater than 3. On the next pass, cross out all multiples of 5 that are greater than 5, and so forth for all primes less than !n. The numbers remaining when this process terminates are the primes less than n. Use the Sieve of Eratosthenes to find all prime numbers less than 100

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