@article{article_504153, title={PERFECT NUMBERS WITH IDENTICAL DIGITS IN NEGATIVE BASE}, journal={International Electronic Journal of Algebra}, volume={25}, pages={199–211}, year={2019}, DOI={10.24330/ieja.504153}, author={Brunotte, Horst}, keywords={Perfect number,repdigit}, abstract={<div> <span style="font-size: 12.6px;">We study perfect numbers which are repdigits in a given negative </span> </div> <div> <span style="font-size: 12.6px;">base. It is shown that in each negative base there are at most nitely many </span> </div> <div> <span style="font-size: 12.6px;">perfect repdigits, and that the set of all such numbers can eectively be computed. </span> </div> <div> <span style="font-size: 12.6px;">As an illustration we explicitly determine these numbers in bases -2 </span> </div> <div> <span style="font-size: 12.6px;">and -10. </span> </div>}, number={25}, publisher={Abdullah HARMANCI}