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[数论] 转发一个猜想,一些自然数积等于和

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realnumber posted 2014-6-12 21:47 |Read mode
Last edited by realnumber 2014-6-12 22:25陕西  王全
QQ图片20140612214448.jpg
设正整数$x_1,x_2,\cdots,x_n(x_1\le x_2\le\cdots\le x_n,n\ge3)$满足$x_1x_2\cdots x_n=x_1+x_2+\cdots+x_n$,记$(x_1,x_2,\cdots ,x_n)$的组数为$f(n)$,证明或否定$f(n)\le n$.
陕西  王全
2014-06-12 14:47:10
请教各位,这是我的猜想。

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kuing posted 2014-6-12 21:50
图太小了,眼花,LZ将公式打上来吧

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其妙 posted 2014-6-12 22:45
以前看见过类似的,忘了,与单位分数表1有关吧

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