On the Indefinite Equation,there have been a lot of researches, when the D doesn‘t has the prime factor shape of 6k+1,all of its solutions have been obtained by Ke Zhao, Sun Qi, Cao Zhenfu, Liu Peijie, and so on.When the prime factor has the shape of 6k+1, the solution of the equation is difficult.Current equation x3+1=158y2(D>0),when D<100,all cases have been resolved (see Table 3).But when 200>D>100,it's not finished yet.By using the Pell Equation, the method of Recursive Sequence proved that when D=158,the Diophantine equation x3+1=158y2 has only integer solution(x,y)=(－1,0),(293,±399).