Our aim in this paper is to consider the integer part of a nonlinear form representing primes. We establish that if λ1, λ2, …, λ8 are positive real numbers, at least one of the ratios λi/λj (1 ≤ i j ≤ 8) is irrational, then the integer parts of are prime infinitely often for x1, x2, …, x8, where x1, x2, …, x8 are natural numbers.
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机译：本文的目的是考虑表示素数的非线性形式的整数部分。我们确定如果λ1，λ2，...，λ8是正实数，则比率λi/λj（1≤iλ 1 < msubsup> x 1 3 + λ 2 x 2 3 + λ 3 x 3 4 + λ 4 x 4 4 + λ 5 x 5 4 + λ 6 x 6 5 + λ 7 x 7 5 + λ 8 < msubsup> x 8 5 对于x1，x2， …，x8，其中x1，x2，…，x8是自然数。
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