关于Pell方程与Evans问题的四类新解

Pell Equation and Four New Solutions to Evans’ Problem

本文利用Pell方程u2-2v2=±1的正整数解和Evans三角形的一个充分条件,构造出四类新的本原Evans三角形,其Evans边(最短边)c=3,并将结论作进一步推广.

In this paper,four new primitive Evans triangle was constructed with the Evans side(the shortest edge)c=3,by using a sufficient condition of Evans triangle and the positive integer solutions of the Pell equation u^2-2 v^2=±1.The conclusion is further promoted.