Geodesic
On Distinct Residues of Factorials
Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 101 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We investigate the existence of primes $p>5$ for which the residues of $2!$, $3!$, \dots, $(p-1)!$ modulo $p$ are all distinct. We describe the connection between this problem and Kurepa's left factorial function, and report that there are no such primes less than $10^{11}$.
DOI : 10.2298/PIM1614101A
Classification : 11B83 11K31
Keywords: left factorial, factorial, prime numbers 
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     title = {On {Distinct} {Residues} of {Factorials}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {101 },
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Vladica Andrejić; Miloš Tatarević. On Distinct Residues of Factorials. Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 101 . doi : 10.2298/PIM1614101A. http://geodesic.mathdoc.fr/articles/10.2298/PIM1614101A/

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