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

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.