On the value set of n! modulo a prime
Banks, William D. and Luca, Florian and Shparlinski, Igor E. and Stichtenoth, Henning (2005) On the value set of n! modulo a prime. Turkish Journal of Mathematics, 29 (2). pp. 169-174. ISSN 1300-0098
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.
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