On Pell Equation px~2-(pn±2)y~2=±1(p≡-1,±3(mod8),p is a prime factor)

The solubility of Pell equation ax2-by2=±1(a,b∈Z+,ab is a non-square positive integer)is a very meaningful question.In this paper,by applying related knowledge of Legendre sign and nature of congruence,it works out six conclusions to judge that the sets of Pell equations such as px2-(pn±2)y2=±1(p≡-1,±3(mod 8),and p is a prime number) have not positive integer solutions.These conclusions play an important role in the research on restricted Pell equation x2-Dy2=±1(D is a non-square positive integer).