Load balanced parallel prime number generator with sieve of eratosthenes on cluster computers

Soonwook Hwang; Kyusik Chung; Dongseung Kim

doi:10.1109/CIT.2007.4385097

Load balanced parallel prime number generator with sieve of eratosthenes on cluster computers

Soonwook Hwang, Kyusik Chung, Dongseung Kim

GREEN SCHOOL (Graduate School of Energy and Environment)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

Algorithms of finding prime numbers up to some integer N by Sieve of Eratosthenes are simple and fast. However, even with the time complexity no greater than O(N In In N), it may take weeks or even years of CPU time if N is large like over 15 decimal digits. No known shortcut was reported yet. We develop efficient parallel algorithms to balance the workload of each computer, and to extend memory limit with disk storage to accommodate Giga-bytes of data. Our experiments show that a complete set of up to 14-digit prime numbers can be found in a week of computing time (CPU time) using our 8 1.6GHz Pentium-4 PCs with Linux and MPI library. Also, by sieve of Eratosthenes, we think it is very unlikely that we can compute all primes up to 20 digits even using the fastest computers in the world.

Original language	English
Title of host publication	CIT 2007
Subtitle of host publication	7th IEEE International Conference on Computer and Information Technology
Pages	295-299
Number of pages	5
DOIs	https://doi.org/10.1109/CIT.2007.4385097
Publication status	Published - 2007
Event	CIT 2007: 7th IEEE International Conference on Computer and Information Technology - Aizu-Wakamatsu, Fukushima, Japan Duration: 2007 Oct 16 → 2007 Oct 19

Publication series

Name	CIT 2007: 7th IEEE International Conference on Computer and Information Technology

Other

Other	CIT 2007: 7th IEEE International Conference on Computer and Information Technology
Country/Territory	Japan
City	Aizu-Wakamatsu, Fukushima
Period	07/10/16 → 07/10/19

Keywords

Cluster computer
Load balancing
MPI
Prime number
Sieve of Eratosthenes

ASJC Scopus subject areas

Computer Science Applications
Information Systems
Software
Mathematics(all)

Access to Document

10.1109/CIT.2007.4385097

Cite this

Hwang, S., Chung, K., & Kim, D. (2007). Load balanced parallel prime number generator with sieve of eratosthenes on cluster computers. In CIT 2007: 7th IEEE International Conference on Computer and Information Technology (pp. 295-299). [4385097] (CIT 2007: 7th IEEE International Conference on Computer and Information Technology). https://doi.org/10.1109/CIT.2007.4385097

Load balanced parallel prime number generator with sieve of eratosthenes on cluster computers. / Hwang, Soonwook; Chung, Kyusik; Kim, Dongseung.
CIT 2007: 7th IEEE International Conference on Computer and Information Technology. 2007. p. 295-299 4385097 (CIT 2007: 7th IEEE International Conference on Computer and Information Technology).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Hwang, S, Chung, K & Kim, D 2007, Load balanced parallel prime number generator with sieve of eratosthenes on cluster computers. in CIT 2007: 7th IEEE International Conference on Computer and Information Technology., 4385097, CIT 2007: 7th IEEE International Conference on Computer and Information Technology, pp. 295-299, CIT 2007: 7th IEEE International Conference on Computer and Information Technology, Aizu-Wakamatsu, Fukushima, Japan, 07/10/16. https://doi.org/10.1109/CIT.2007.4385097

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Load balanced parallel prime number generator with sieve of eratosthenes on cluster computers

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