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.


Irregular prime divisors of the Bernoulli numbers
HTML articles powered by AMS MathViewer

by Wells Johnson PDF
Math. Comp. 28 (1974), 653-657 Request permission


If p is an irregular prime, $p < 8000$, then the indices 2n for which the Bernoulli quotients ${B_{2n}}/2n$ are divisible by ${p^2}$ are completely characterized. In particular, it is always true that $2n > p$ and that ${B_{2n}}/2n\;\nequiv ({B_{2n + p - 1}}/2n + p - 1)\pmod {p^2}$ if (p,2n) is an irregular pair. As a result, we obtain another verification that the cyclotomic invariants ${\mu _p}$ of Iwasawa all vanish for primes $p < 8000$.
Similar Articles
Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Math. Comp. 28 (1974), 653-657
  • MSC: Primary 10A40; Secondary 12A35, 12A50
  • DOI:
  • MathSciNet review: 0347727