Linked from
The 11 pages that link to Sieve of Eratosthenes, each with the reason it gives.
Prime numberRelated: It efficiently lists primes by eliminating numbers with known prime divisors.
Prime factorizationRelated: A precomputed list of primes speeds factorization by trial division.
Prime-counting functionRelated: It computes exact values of π(x) for finite ranges.
Prime gapsRelated: It is a standard way to compute consecutive primes and inspect their gaps.
Composite numberRelated: The sieve marks composite numbers as multiples of smaller primes.
Twin primeRelated: The sieve can identify twin-prime pairs among primes up to a chosen bound.