On the Value Set of n! Modulo a Prime
Banks, William David, 1964-
Shparlinski, Igor E.
Stichtenoth, H. (Henning), 1944-
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.
Mathematics publications (MU)