摘要
基于严格的逻辑推理,证明了“形如4k-1(k∈Z^(+))的素数有无穷多个”和“形如6k-1(k∈Z^(+))的素数有无穷多个”。基于平方剩余和Euler判定法则,证明了“形如4k+1(k∈Z^(+))的素数有无穷多个”。基于阶和Euler定理,证明了“形如6k+1(k∈Z^(+))的素数有无穷多个”。
Based on strict logical reasoning,“having infinitely many prime numbers in the form of 4k-1(k∈Z^(+))”and“having infinitely many prime numbers in the form of 6k-1(k∈Z^(+))”are proved.Based on the square residue and Euler criterion,“having infinitely many prime numbers in the form of 4k+1(k∈Z^(+))”is proved.Based on order and Euler Theorem,“having infinitely many prime numbers in the form of 6k+1(k∈Z^(+))”is also proved.
作者
陈川
宓玲
CHEN Chuan;MI Ling(Key Laboratory of Computing Power Network and Information Security,Ministry of Education,Shandong Computer Science Center(National Supercomputer Center in Jinan),Qilu University of Technology(Shandong Academy of Sciences),Jinan 250353,China;Shandong Provincial Key Laboratory of Computer Networks,Shandong Fundamental Research Center for Computer Science,Jinan 250014,China;School of Mathematics and Statistics,Qilu University of Technology(Shandong Academy ofSciences),Jinan 250353,China)
出处
《齐鲁工业大学学报》
CAS
2023年第6期77-80,共4页
Journal of Qilu University of Technology
基金
国家自然科学基金(62172244)
山东省自然科学基金(ZR2021MF090)
山东省科技型中小企业创新能力提升工程项目(2023TSGC0197)。
