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arXiv · 1603.04086

On distinct residues of factorials

Vladica Andrejić·Milos Tatarevic
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Abstract

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 $10^{11}$.

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Vladica Andrejić, Milos Tatarevic. 2016-03-13. On distinct residues of factorials. https://doi.org/10.2298/pim1614101a

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