Nelson's Sieve

Nelson's Sieve is a method for identifying prime numbers, specifically primes greater than 3, by testing their divisibility with certain divisors. It works by recognizing that most primes can be expressed in the form 6k ± 1 (where k is an integer). The sieve systematically filters out numbers of this form that are divisible by smaller primes, such as 2 and 3, leaving a sequence that contains only potential primes. It then checks these candidates against known prime divisors to confirm whether they are prime, streamlining the process of identifying primes beyond trivial cases.