教師資料查詢 | 類別: 期刊論文 | 教師: 倪衍森 NI, YEN-SEN (瀏覽個人網頁)

標題:An Approximation Solution for the Twin Prime Conjecture
學年107
學期1
出版(發表)日期2019/01/15
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 (accepted forthcoming)
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
語言英文
ISSN
期刊性質國內
收錄於EI;ESCI;
產學合作
通訊作者
審稿制度
國別中華民國
公開徵稿
出版型式,電子版
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