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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Soonwook Hwang Kyusik Chung Dongseung Kim |
| Copyright Year | 2007 |
| Description | Author affiliation: Korea Univ. Seoul, Seoul (Soonwook Hwang) |
| 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 1.6 GHz 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. |
| Starting Page | 295 |
| Ending Page | 299 |
| File Size | 419023 |
| Page Count | 5 |
| File Format | |
| ISBN | 9780769529837 |
| DOI | 10.1109/CIT.2007.139 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2007-10-16 |
| Publisher Place | Japan |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Concurrent computing High performance computing Linux Clustering algorithms Load management Central Processing Unit Personal communication networks Distributed computing Information technology Parallel algorithms |
| Content Type | Text |
| Resource Type | Article |
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