\sum_{k=1}^{n-1} k^n \equiv 0 \pmod{n}
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  1. http://formula.s21g.com/?%5Csum_%7Bk%3D1%7D%5E%7Bn-1%7D%2...
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  3. http://blog.s21g.com/articles/2012.8.13
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