A space-efficient fast prime number sieve

被引：9
|
作者：
Dunten, B [1 ]
Jones, J [1 ]
Sorenson, J [1 ]
机构：
[1] BUTLER UNIV,DEPT MATH & COMP SCI,INDIANAPOLIS,IN 46208
来源：
INFORMATION PROCESSING LETTERS | 1996年 / 59卷 / 02期
基金：
美国国家科学基金会;
关键词：
prime number sieve; sieve of Eratosthenes; number theoretic algorithms; analysis of algorithms; design of algorithms;
D O I：
10.1016/0020-0190(96)00099-3
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We present a new algorithm that finds all primes up to n using at most O(n/log log n) arithmetic operations and O(n/(log n log log n)) space. This algorithm is an improvement of a linear prime number sieve due to Pritchard. Our new algorithm matches the running time of the best previous prime number sieve, but uses less space by a factor of Theta(log n). In addition, we present the results of our implementations of most known prime number sieves.
引用
收藏
页码：79 / 84
页数：6
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