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1. CMB 2007 (vol 50 pp. 158)

Tipu, Vicentiu
 A Note on Giuga's Conjecture 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 $X$. Category:11A51