More precisely, the time complexity of our algo- rithm is 20.3778n+o(n) polynomial-time operations and the corresponding space complexity is 20.2833n+o(n) polynomially many bits.Feng ZhangBYanbin PanBGengran HuZhang, F., Pan, Y., Hu, G.: A three-level sieve algorithm for the shortest...
The RSA algo- rithm specifically uses a composite integer for modular arithmetic. And the RSA algorithm is used in most, if not all, Secure Hyper Text Protocol (HTTPS) and Secure Socket Layer (SSL) communication. That being said, even though the factoring problem is difficult to solve, ...
primesieve generates primes using the segmentedsieve of Eratostheneswithwheel factorization. This algorithm has a run time complexity ofO(nloglogn)operations and usesO(n)memory. Furthermore primesieve uses thebucket sievealgorithm which improves the cache efficiency when generating primes > 232....