整变量混合幂为3,5的非线性型的整数部分  

Integer Parts of a Nonlinear Type with Mixed Powers of Integer Variables 3 and 5

作　　者：蒋颜如 JIANG Yanru(College of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046

出　　处：《河南教育学院学报（自然科学版）》2020年第2期25-30,共6页Journal of Henan Institute of Education(Natural Science Edition)

摘　　要：用Davenport-Heilbronn方法证明了存在无穷多素数p,可用λ1x1^3+λ2x2^3+λ3x3^3+λ4x4^3+λ5x5^5+λ6x6^5的整数部分表示,其中xi表示自然数,λ1/λ2是无理数,即[λ1x1^3+λ2x2^3+λ3x3^3+λ4x4^3+λ5x5^5+λ6x6^5]=p。Using the method of Davenport-Heilbronn,proved that the integer parts ofλ1x1^3+λ2x2^3+λ3x3^3+λ4x4^3+λ5x5^5+λ6x6^5 can represent an infinite number of prime numbers,where xi represent natural numbers andλ1/λ2 is an irrational number,that is,there exists an infinite number of prime numbers p,such that[λ1x1^3+λ2x2^3+λ3x3^3+λ4x4^3+λ5x5^5+λ6x6^5]=p.

关 键 词：整数变量 积分 素数 非线性型 混合幂 

分 类 号：O156.4[理学—数学]