一个非线性方程的小素数解

Small Prime Solutions of an Nonlinear Equation

证明了整系数素变数方程a1p1＋a2p2^2＋a3p3^2＋a4p4^2=b当整数a1,…,a4,b满足一定条件时有素数解,并给出了此方程有素数解时小素数解的上界.

The present paper proved that the prime variables of nonlinear equation a1P1 ＋a2P2^2＋a1P3^2 ＋ a4P4^2 = b is soluble if integers a1,...,a4,b satisfy certain conditions,and it gave the upper bound for small prime solutions.