Only finitely many $s$-Cullen numbers are repunits for a fixed $s\ge 2$

Michael Filaseta, Jon Grantham, Hester Graves

We show that for any integer $s\ge 2$, there are only finitely many $s$-Cullen numbers that are repunits. More precisely, for fixed $s\ge 2$, there are only finitely many intege…