邓声明常务副部长简历:数学难题

来源:百度文库 编辑:神马品牌网 时间:2024/04/30 07:27:57
证明
找不出三个自然数m, k, n 满足下列条件
n>1
m(m+1) = k^n.

m and m+1 have no common divisors,
so each must separately be an nth power.

But the difference between the two nth powers
is greater than 1 (for n>1).

^是什么意思

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