期刊論文
| 學年 | 107 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2019-03-01 |
| 作品名稱 | An Approximation Solution for the Twin Prime Conjecture |
| 作品名稱（其他語言） | |
| 著者 | Yensen Ni; Paoyu Huang; Yuhsin Chen |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Journal of Applied Science and Engineering 22(1), p.19-28 |
| 摘要 | Journal of Applied Science and Engineering: In this study, we investigate the existence of numerous twin prime pairs according to the prime number inferred by the sieve of Eratosthenes. Given a number M=(6n+5)^2, at least three twin prime pairs can be found from the incremental range, which is increased from (6n+5)^2 to [6(n+1)+5]^2 for n=0 to infinite. Thus, we might be able to prove the twin prime conjecture proposed by de Polignac in 1849, that is, several prime numbers p exist for each natural number k by denoting p+2k as the prime number when k=1. Instead of twin prime pairs occurring irregularly, we infer that the twin prime conjecture solution might solved by satisfying two conditions: (1) eliminating the nontwin prime pairs in associated twin prime pairs would be regular, and (2) the incremental range from (6n+5)^2 to [6(n+1)+5]^2 for n=0 to ∞ would be regular. These conditions may not have been considered in previous studies that explored the question on whether numerous twin prime pairs exist, which has been one of the open questions in number theory for more than a century. |
| 關鍵字 | Twin Primes;Number Theory;Prime Number;Incremental Range |
| 語言 | en |
| ISSN | 1560-6686 |
| 期刊性質 | 國內 |
| 收錄於 | ESCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 是 |
| 國別 | TWN |
| 公開徵稿 | |
| 出版型式 | ,電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/115207 ) |