PERFECT NUMBERS WITH IDENTICAL DIGITS IN NEGATIVE BASE

Authors : Horst BRUNOTTE

Pages : 199-211

Doi:10.24330/ieja.504153

View : 12 | Download : 12

Publication Date : 2019-01-08

Article Type : Research Paper

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 nitely many perfect repdigits, and that the set of all such numbers can e ectively be computed. As an illustration we explicitly determine these numbers in bases -2 and -10.
Keywords : Perfect number, repdigit