![]() ![]() ![]() Will also delete on comment score of -1 or less. Parent commenter can toggle ^NSFW or ^delete. Interesting: Wheel ^factorization | Sieve of ^Atkin | Sieve of ^Sundaram | ^Eratosthenes It is named after Eratosthenes of Cyrene, a Greek mathematician although none of his works has survived, the sieve was described and attributed to Eratosthenes in the Introduction to Arithmetic by Nicomachus. If you want all 98 million primes less than 2000000000, then I suggest. The sieve of Eratosthenes is one of the most efficient ways to find all of the smaller primes. If you want many primes or larger primes, my JAVA prime number program might be. This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime. The multiples of a given prime are generated as a sequence of numbers starting from that prime, with constant difference between them that is equal to that prime. It does so by iteratively marking as composite (i.e., not prime) the multiples of each prime, starting with the multiples of 2. In mathematics, the sieve of Eratosthenes ( Greek: κόσκινον Ἐρατοσθένους), one of a number of prime number sieves, is a simple, ancient algorithm for finding all prime numbers up to any given limit. ![]()
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