摘要
本文给出了连续勾股丢番图方程x^2+（x+l）~2=z^2全部解的递推公式,并且给出了更一般地勾股丢番图方程x^2+（x+k）~2=z^2有正整数解的充要条件。
In this paper the general recurrence formula of solution of continued Pythagorean diophantine equation is given,and the necessary and sufficient condition of diophantine equation x2+(x+k)2=z2 is obtained.
关键词
连续勾股数
丢番图方程
PELL方程
Continued pythagorean number Diophantine equation Pill' s equation
