Presentation | 2006-11-16 On experimental study of linear functions for prime generation Hisao TAKANAMI, Akira HAYASHI, |
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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) |
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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 |