| Presentation | 2006-11-16 On experimental study of linear functions for prime generation Hisao TAKANAMI, Akira HAYASHI, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We made computer experiments for finding an efficient way of generating prime numbers. We used random numbers of the type ax+1 to be tested for primality. Varying the value of a from 1 to 60,000, we counted the number of primes out of 10,000 odd integers of the above type. The result of the experiments show that a good choice of a is such that a=p^#, where p^# is the product of all primes up to p. This result coincides with a theoretically kwown asymptotic distribution. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | prime number generation / primality test |
| Paper # | ISEC2006-94,OIS2006-52 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2006/11/9(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information Security (ISEC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On experimental study of linear functions for prime generation |
| Sub Title (in English) | |
| Keyword(1) | prime number generation |
| Keyword(2) | primality test |
| 1st Author's Name | Hisao TAKANAMI |
| 1st Author's Affiliation | Kanazawa Institute of Technology() |
| 2nd Author's Name | Akira HAYASHI |
| 2nd Author's Affiliation | Kanazawa Institute of Technology |
| Date | 2006-11-16 |
| Paper # | ISEC2006-94,OIS2006-52 |
| Volume (vol) | vol.106 |
| Number (no) | 351 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |