Factorials as Repdigits in Base B

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Abstract

Let b is an element of {2, 3, ..., 9}. In this paper, we show that the solutions of the equation (x)(b) = m! are (11)(5) = 3!, (33)(7) = (44)(5) = 4!, where (x)(b) has at least two digits.

Description

Institutional Author Profiles

Keywords

Factorials, Repdigits, Diophantine equation, Sums, Product

Fields of Science

0102 computer and information sciences, 0101 mathematics, 01 natural sciences

Citation

WoS Q

Scopus Q

Volume

28

Issue

1

Start Page

21

End Page

25
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1

checked on Oct 07, 2026

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