• Title of article

    PERFECT NUMBERS WITH IDENTICAL DIGITS IN NEGATIVE BASE

  • Author/Authors

    Brunotte, Horst Haus Endt Straße, Germany

  • Pages
    13
  • From page
    199
  • To page
    211
  • Abstract
    We study perfect numbers which are repdigits in a given negative base. It is shown that in each negative base there are at most finitely many perfect repdigits, and that the set of all such numbers can effectively be computed. As an illustration we explicitly determine these numbers in bases −2 and −10.
  • Keywords
    Perfect number , repdigit
  • Journal title
    International Electronic Journal of Algebra
  • Serial Year
    2019
  • Record number

    2600002