The Sieve of Eratosthenes is an ancient algorithm used to find all prime numbers up to a specified integer by iteratively marking the multiples of each prime number starting from 2. It efficiently eliminates non-prime numbers in a range by progressively marking the multiples of each prime, resulting in a list of primes up to the desired limit.

Sieve Of Eratosthenes

Sieve of Eratosthenes

ancient algorithm

Prime numbers are natural numbers greater than 1 that have no divisors other than 1 and themselves, serving as the building blocks of number theory. They play a crucial role in various fields, including cryptography, due to their properties and distribution patterns.

prime numbers

specified integer

iteratively marking

multiples of each prime number

starting from 2

efficiently eliminates

non-prime numbers

progressively marking

list of primes

desired limit

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