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
Full Text URL
Record number
2600002
Link To Document