Sieve of Eratosthenes
-The Sieve of Eratosthenes is an efficient algorithm for finding all prime numbers up to a specified integer. It works by iteratively marking the multiples of each prime number starting from 2. The numbers which remain unmarked after all multiples of each prime are marked are the prime numbers.
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- Initialize a list of boolean values representing primality of numbers from 0 to a given limit. -
- Set the first two values (0 and 1) to false, as they are not prime. -
- Iterate over each number starting from 2. If the number is marked as prime, mark all its multiples as non-prime. -
- Continue the process until the required number of primes is found. -