摘要
本文运用递归序列方法,证明了不定方程x(x+1)(x+2)(x+3)=7y(y+1)(y+2)(y+3)仅有正整数解(x,y)=(4,2).
In this paper, with the method of recurrence sequences we have shown that the only solution in positive integers of the equation of the title is (x, y) = (4,2). In fact, we have obtained a more general result that the only integer solutions of the diophantine equation (x2 +3x +1) 2 - 7y2 = - 6 are (x, +y) = (-3, 1), (0,1), (-7,11), (4,11), (-2,1), (-1,1), (-16,79), (13,79).
出处
《重庆师范学院学报（自然科学版）》
1991年第1期1-8,共8页
Journal of Chongqing Normal University(Natural Science Edition)
关键词
不定方程
整数解
递归序列
diophantinc equation, integer solution, recurrence sequence
