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洛谷跳转矩阵(点击下面的字)：

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入门

普及-

普及/提高-

普及+/提高

提高+省选-

省选/NOI-

NOI/NOI+/CTSC

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$ 1^3+2^3+3^3+....+(n-1)^3+n^3=(1+2+3+....+n-1+n)^2 $

$ 1^2+2^2+3^2+....+(n-1)^2+n^2=(n \times (n+1) \times (2n+1)) \div 6 $

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求所有正整数$n$和质数$p$,使得$n^3-p^5=p^6+3n-2$

$\color{green} 普通$ $\color{yellow} 罕见$ $\color{blue} 稀有$ $\color{indigo} 史诗$ $\color{red} 传奇$ $\color{cyan} 神话$ $\color{#990000} 究极$ $\color{grew} 唯一$