摘要
利用递归数列、同余式证明了不定方程x3-1=38y2仅有整数解(x,y)=(1,0),从而得知关于不定方程x3-1=Dy2(0<D<100)的全部整数解的情况.
<Abstrcat> The authors have proved that the Diophantine equation x^3-1=38y^2 only has integer solution (x,y)=(1,0). Based on this, all the integer solutions to the Diophantine equation x^3-1=Dy^2(0<D<100) have been obtained.
出处
《黄冈师范学院学报》
2005年第3期16-18,共3页
Journal of Huanggang Normal University
基金
重庆教委科研基金项目(010204).
关键词
不定方程
整数解
递归数列
Diophantine equation
integer solution
recurrent sequence
