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湖南中学数学网在2006年8月6日转载了一篇有关平方数猜想的文章,内容是:“……希托突玛图(S.Hitotumatu)提出了一个猜想:除了10~(2n),4×10~(2n),9×10~(2n)之外,由两个数字组成的完全平方数只有有限个.这个猜想至今未获证明.一般的,对于 k(k=2,3,4,…,9)个不同数字组成的完全平方数,能做出什么结论呢?我们知道,完
Hunan Middle School Mathematical Network reprinted an article on square-magination conjecture on August 6, 2006. The content is: ”... S. Hitotumatu made a conjecture: In addition to 10~(2n) In addition to 4×10~(2n) and 9×10~(2n), there are only a finite number of squares consisting of two numbers. This conjecture has not been proved so far. In general, for k (k=2,3) , 4,..., 9) The number of complete squares of different numbers. What conclusions can be made? We know that