sieve methods

Sieve methods are mathematical techniques used to identify specific numbers within a large set, often prime numbers, by systematically filtering out others. Imagine pouring a mixture through a sieve with different-sized holes; only particles that fit specific criteria pass through. In mathematics, this process involves applying rules to eliminate numbers with certain factors, narrowing down to the desired subset. These methods help mathematicians understand patterns in numbers and solve problems related to primes, divisibility, and number distribution efficiently.