## On the Value Set of n! Modulo a Prime

Banks, William David, 1964-

Luca, Florian

Shparlinski, Igor E.

Stichtenoth, H. (Henning), 1944-

##### Abstract

We show that for infinitely many prime numbers p there are at least log log p/ log log log p distinct residue classes modulo p that are not congruent to n! for any integer n.

##### Part of

Mathematics publications (MU)