The first two elements that are 0 and 1 are set to false because they are not prime numbers. This will indicate that every number is prime. All the elements in the array are initially set to true. To implement this algorithm we will create an boolean array of size n+1, in which every index will represent a number from 0 to n. So we can say that this method is much faster than the brute force technique for checking every number for primality. This algorithm is an efficient algorithm for finding prime numbers with a time complexity O(n log n). This procedure will continue until all the prime numbers have been identified. This algorithm works by defining a list of all numbers from 2 to the given range and then iteratively mark the multiples of every prime number as not prime. The Sieve of Eratosthenes is an easy and classical algorithm for finding all prime numbers up to a given range. What is the Sieve of Eratosthenes Algorithm ? And for implementing this function we will use the Sieve of Eratosthenes algorithm. The problem statement is to write a function in Javascript that will work for finding the prime numbers up to a given number. So in our program we will implement a function to find primes numbers up to a given limit. In this problem statement, our aim is to apply a sieve of eratosthenes algorithm to find out the prime numbers with the help of Javascript functionalities.
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