Wilson quotients for composite moduli

An analogue for composite moduli m ≥ 2 of the Wilson quotient is studied. Various congruences are derived, and the question of when these quotients are divisible by m is investigated; such an m will be called a “Wilson number”. It is shown that numbers in certain infinite classes cannot be Wilson numbers. Eight new Wilson numbers up to 500 million were found.

• Type: Journal
• Year: 1998
• Where: MOC
• Authors: Takashi Agoh, Karl Dilcher, Ladislav Skula
• Keywords: Composite Moduli, MOC 1998, Wilson Numbers, Wilson Quotient