摘要
本文的主要结果是：Diophantine方程X3=NY2＋1没有正整数解，其中N只含形如的素因子且不含今数个3。
In paper[1],R. J. Stroeker researched the Diophantine equation x3 = Ny2 + 1 for N =5 and N = 7. In this paper,In this direction,We continue to discuss the equation and obtainthe followingTheorem The Diophantine equation x3 = Ny2 + 1 has no positive integer solution, whereN is a positive integer and contains on prime factor
