On distinct residues of factorials

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 $10^{11}$.

References in corpus (1)

• Searching for a counterexample to Kurepa's Conjecture