【摘要】 利用奇偶分析、递归序列、同余和Pell方程的解的性质等一些初等方法，对D=2p₁……p_s（1≤s≤4），其中■是互不相同的奇素数时，Pell方程组■与■的公解进行了研究.得到除开■，方程组有非平凡解■这一基本情况之外，仅有平凡解■，从而推进了这类Pell方程组整数解的研究．更多还原

【Abstract】 By using some elementary methods such as parity analysis,recursive sequence,congruence and properties of Pellequation solutions,the common solutions of the equations ■and ■was studied when■，wherewere different odd prime numbers.In addition to the basic case that ■had a nontrivial solution■，there was only one trivial solution■，thus advancing the study of integer solutions of this kind ofPellequations.更多还原