Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Wilson quotients for composite moduli
HTML articles powered by AMS MathViewer

by Takashi Agoh, Karl Dilcher and Ladislav Skula PDF
Math. Comp. 67 (1998), 843-861 Request permission


An analogue for composite moduli $m \geq 2$ 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.
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC (1991): 11A07, 11B68
  • Retrieve articles in all journals with MSC (1991): 11A07, 11B68
Additional Information
  • Takashi Agoh
  • Affiliation: Department of Mathematics, Science University of Tokyo, Noda, Chiba 278, Japan
  • Email:
  • Karl Dilcher
  • Affiliation: Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada
  • Email:
  • Ladislav Skula
  • Affiliation: Department of Mathematics, Faculty of Science, Masaryk University, 66295 Brno, Czech Republic
  • Email:
  • Received by editor(s): January 23, 1995
  • Received by editor(s) in revised form: May 22, 1996
  • Additional Notes: The first author was supported in part by a grant of the Ministry of Education, Science and Culture of Japan. The second author’s research was supported by NSERC of Canada. Research of the third author was supported by the Grant Agency of the Czech Republic, “Number Theory, its Algebraic Aspects and its Relationship to Computer Science", No. 201/93/2/22.
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 843-861
  • MSC (1991): Primary 11A07; Secondary 11B68
  • DOI:
  • MathSciNet review: 1464140