On distinct residues of factorials
Vladica Andrejić, Milos Tatarevic · Publications de l Institut Mathematique · 2016
We investigate the existence of primes p > 5 for which the residues of 2!, 3!,...,(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 1011.