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A Note on Giuga's Conjecture
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $G\left( X \right)$ denote the number of positive composite integers $n$ satisfying $\sum\nolimits_{j=1}^{n-1}{{{j}^{n-1}}}\equiv -1\left( \,\bmod \,n \right)$. Then $G\left( X \right)\ll {{X}^{1/2}}\log \,X$ for sufficiently large $X$.
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