Geodesic
A Note on Giuga's Conjecture
Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 158-160

Voir la notice de l'article provenant de la source Cambridge University Press

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 $X$ .
DOI : 10.4153/CMB-2007-016-8
Mots-clés : 11A51 
Tipu, Vicentiu. A Note on Giuga's Conjecture. Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 158-160. doi: 10.4153/CMB-2007-016-8
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[1] [1] Agoh, T., On Giuga's conjecture. Manuscripta Math. 87(1995), no. 4, 501–510. Google Scholar

[2] [2] Alford, W. R., Granville, A., and Pomerance, C., There are infinitely many Carmichael numbers. Ann. of Math. 139(1994), no. 3, 703–722. Google Scholar

[3] [3] Bedocchi, E., Note on a conjecture about prime numbers. (Italian), Riv. Mat. Univ. Parma 11(1985), 229–236. Google Scholar

[4] [4] Borwein, D., Borwein, J. M., Borwein, P. B., and Girgensohn, R., Giuga's conjecture on primality. Amer.Math. Monthly 103(1996), no. 1, 40–50. Google Scholar

[5] [5] Borwein, J. M., Wong, E., A survey of results relating to Giuga's conjecture on primality. In: Advances in Mathematical Sciences: CRM's 25 years. CRM Proc. Lecture Notes 11, American Mathematical Society, Providence, RI, 1997, pp. 13–27. Google Scholar

[6] [6] Erdőos, P., On pseudoprimes and Carmichael numbers. Publ. Math. Debrecen 4(1956), 201–206. Google Scholar

[7] [7] Giuga, G., Su una presumibile proprietá caratteristica dei numeri primi. Ist. Lombardo Sci. Lett. Rend. Cl. Sci. Mat. Nat. 14(83)(1950). 511–528. Google Scholar

[8] [8] Korselt, A., Problème chinois. L’intermediaire des mathematiciens 6(1899), 142–143. Google Scholar

[9] [9] Pomerance, C., Two methods in elementary analytic number theory. In: Number Theory and Applications. NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Kluwer, Dordrecht, 1989, pp. 135–161. Google Scholar

[10] [10] Pomerance, C., Selfridge, J. L., and Wagstaff, S., The pseudoprimes to 25 · 109 . Math. Comp. 35(1980), no. 151, 1003–1026. Google Scholar

[11] [11] Ribenboim, P., The little book of bigger primes. Second edition. Springer-Verlag, New York, 2004. Google Scholar

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