The denominators of the Bernoulli numbers

Carl Pomerance, Samuel S. Wagstaff, Jr. Acta Arithmetica MSC: Primary 11B05; Secondary 11B68, 11N25, 11N37, 11Y60. DOI: 10.4064/aa210601-16-11 Published online: 17 March 2022


We study the asymptotic density of the set of subscripts of the Bernoulli numbers having a given denominator. We also study the distribution of distinct Bernoulli denominators and some related problems.


  • Carl PomeranceMathematics Department
    Dartmouth College
    Hanover, NH 03784, USA
  • Samuel S. Wagstaff, Jr.Center for Education and Research
    in Information Assurance and Security
    and Department of Computer Sciences
    Purdue University
    West Lafayette, IN 47907-1398, USA

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