An Approximation Solution for the Twin Prime Conjecture
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 )

SDGS 優質教育,負責任的消費與生產