形如1+25n(n+1)/2的平方数

The Square Number with the Form 1+25n(n+1)/2

多项式整数值的完全方幂问题是数论中引人关注的热点之一。利用Pell方程的基本性质找出了可使1+25n(n+1)/2为平方数的所有正整数n.

The problem of the perfect powers in polynomial integer values is a noticeable question for study of theory number.All positive integers which make numbers with the form 1+25n(n+1)/2 to be square numbers were given by using the basic knowledge of the Pell equation in this paper.