What is the Sieve of Eratosthenes Algorithm for Finding Prime Numbers?

Learn about the Sieve of Eratosthenes, an efficient algorithm for identifying prime numbers up to a specified integer.

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The Sieve of Eratosthenes is an efficient algorithm to find all prime numbers up to a specified integer. Start by listing all numbers, then iteratively mark the multiples of each prime starting from 2.

FAQs & Answers

  1. What are prime numbers? Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.
  2. How does the Sieve of Eratosthenes work? The Sieve of Eratosthenes works by progressively eliminating the multiples of each prime number starting from 2.
  3. What is the time complexity of the Sieve of Eratosthenes? The time complexity of the Sieve of Eratosthenes is O(n log log n), making it efficient for finding all prime numbers up to a large number.

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