1977年,R.Evans在《美国数学月刊》上提出一个未决问题~([1]):“求出所有的整数边三角形,使它的某个高与底边之比为整数.”此问题称为Evans问题,被Richard K.Guy收录在《数论中未解决的问题》一书中.文[2]指出这个比不能为1和2,但可以为3,并提出问题:这个比能否为大于3的整数?定义1某个高与底边之比为整数的整数边三角形称为Evans三角形,并称三边长互素的 In 1977, R. Evans raised an open question in the American Mathematical Monthly ~ ([1]): “Find all integer edge triangles such that one of its high and base edges is an integer.” “This problem is called the Evans problem and is covered by Richard K. Guy in his book” The Problem of Unsolved Number Theory. "Man [2] points out that this ratio can not be 1 and 2 but can be 3 and ask questions: This Than the integer can be greater than 3? Definition 1 An integer triangle with a high ratio of the upper edge of the triangle is called the Evans triangle, and said the long sides of the prime