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# A Note on Giuga's Conjecture

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Published:2007-03-01
Printed: Mar 2007
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## Abstract

Let $G(X)$ denote the number of positive composite integers $n$ satisfying $\sum_{j=1}^{n-1}j^{n-1}\equiv -1 \tmod{n}$. Then $G(X)\ll X^{1/2}\log X$ for sufficiently large $X$.
 MSC Classifications: 11A51 - Factorization; primality

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