关于Mordell方程y^3=x^2+2(multiply from (pi)i=1 to s)~2

On the Mordell Equation y^3=x^2+2(multiply from (pi)i=1 to s)~2

用初等数论的方法研究了一类不定方程y3=x2+2(multiply from (pi)i=1 to s)2其中pi为奇素数,pi=5,7(mod8),i=1,2,…,s,并给出了该方程全部整数解的一般公式。

In this paper,we have studied the indefinite equation y3=x2＋2（multiply from （pi）i=1 to s）2 where pi be odd prime,with pi=5,7（mod8）,i=1,2,…,s,and gave out the general formulas of all integral solutions of the equation.