Article detail · 2022 · article
Factorials as repdigits in base $b$
Journal
Notes on Number Theory and Discrete Mathematics
ISSN1310-5132
YÖKSİS
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Abstract
Let $b\in \left\{ 2,3, \ldots,9\right\}.$ In this paper, we show that the solutions of the equation $\left( x\right) _{b}=m! $ are $\left( 11\right) _{5}=3!, \left( 33\right) _{7}=\left( 44\right)_{5}=4!$, where $\left( x\right) _{b}$ has at least two digits.
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