Computational Complexity
This sieve computes primes up to N using O(N/log log N) operations with only N1/2 + o(1) bits of memory. That is a little better than the sieve of Eratosthenes which uses O(N) operations and O(N1/2(log log N)/log N) bits of memory. These asymptotic computational complexities include simple optimizations, such as wheel factorization, and splitting the computation to smaller blocks.
Read more about this topic: Sieve Of Atkin
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