.386 ASSEMBLY LANGUAGE:

The Sieve of Eratosthenes, invented by the Greek mathematician of the same name, provides a quick way to find all prime numbers within a given range. The algorithm involves creating an array of bytes, initialized with zeros, in which positions are marked by inserting 1s in the following manner: Beginning with position 2 (which is a prime number so mark it as 0), insert a 1 in each array position that is a multiple of 2. Then do the same thing for multiples of 3, the next prime number. Find the next prime number after 3, which is 5, and mark all positions that are multiples of 5. Proceed in this manner until all multiples of primes have been found. The remaining positions of the array that are unmarked indicate which numbers are prime. Write a program that create a 65,000-element array and mark all non-prime number between 2 and 65,000 by writing 1s in the corresponding bytes.