关于丢番图方程x^2+(x+p)~2=z^2

On Diophantine Equation x^2+(x+p)~2=z^2

从两个最基本的不定方程x2+y2=z2和u2-2v2=p(其中p为奇素数)以及它们的相关定理出发,给出了不定方程x2+(x+p)2=z2的正整数解的通项公式.

In this paper,based on two basic indefinite equations：x2＋y2=z2 and u2-2v2=p（where p is prime,p2）and their relevant theorems,general term formula for all positive integer solutions of indefinite equations x2＋（x＋p）2=z2 were given.