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On a Deterministic Property of the Category of k-almost Primes: A Deterministic Structure Based on a Linear Function for Redefining the k-almost Primes (∃n∈N, 1≤k≤n) in Certain Intervals
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| Title: | On a Deterministic Property of the Category of k-almost Primes: A Deterministic Structure Based on a Linear Function for Redefining the k-almost Primes (∃n∈N, 1≤k≤n) in Certain Intervals |
| Authors: | Zahedi, Ramin Browse this author |
| Keywords: | Deterministic Structure of k-almost Prime Numbers | | Strongly Polynomial Time Algorithms | | Prime Numbers' Algebraic Re-Definition (Algebraic Reproduction) | | Factorization |
| Issue Date: | 28-Aug-2014 |
| Citation: | Eleventh Algorithmic Number Theory Symposium（ANTS-XI）. August 7 – 11, 2014. Hotel Hyundai, GyeongJu, Korea |
| Start Page: | 1 |
| End Page: | 10 |
| Abstract: | In this paper based on a sort of linear function, a deterministic and simple algorithm with an algebraic structure is presented for calculating all (and only) k-almost primes (where ∃n∊N, 1 ≤ k ≤ n) in certain intervals. A theorem has been proven showing a new deterministic property of the category of the k-almost primes. Through a linear function that we obtain, an equivalent redefinition of the k-almost primes with an algebraic characteristic is identified. Moreover, as an outcome of our function’s property some relations which contain new information about the k-almost primes (including primes) are presented. |
| Description: | Eleventh Algorithmic Number Theory Symposium（ANTS-XI）. August 7 – 11, 2014. Hotel Hyundai, GyeongJu, Korea |
| Conference Name: | Eleventh Algorithmic Number Theory Symposium（ANTS-XI） |
| Conference Place: | GyeongJu |
| Rights: | CC Attribution-NonCommercial-ShareAlike 3.0. License URL: https://creativecommons.org/licenses/by-nc-sa/3.0/ | | http://creativecommons.org/licenses/by-nc-sa/3.0/ |
| Type: | conference presentation |
| URI: | http://hdl.handle.net/2115/62699 |
| Appears in Collections: | 文学院・文学研究院 (Graduate School of Humanities and Human Sciences / Faculty of Humanities and Human Sciences) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: Ramin Zahedi
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