**Nurettin Irmak and Alain Togbé**

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 28, 2022, Number 1, Pages 21—25

DOI: 10.7546/nntdm.2022.28.1.21-25

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## Details

### Authors and affiliations

**Nurettin Irmak**

*Department of Fundamental Science, Faculty of Engineering and Natural Science,
Konya Technical University, Konya, Turkey*

**Alain Togbé**

*Department of Mathematics, Purdue University Northwest
1401 S. U. S. 421., Westville, IN 46391, United States*

### Abstract

Let In this paper, we show that the solutions of the equation are , where has at least two digits.

### Keywords

- Factorials
- Repdigits
- Diophantine equation

### 2020 Mathematics Subject Classification

- 11D72
- 11A07
- 11B50

### References

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### Manuscript history

- Received: 11 January 2021
- Revised: 1 October 2022
- Accepted: 17 January 2022
- Online First: 6 February 2022

## Related papers

## Cite this paper

Irmak, N., & Togbé, A. (2022). Factorials as repdigits in base *b*. *Notes on Number Theory and Discrete Mathematics*, 28(1), 21-25, DOI: 10.7546/nntdm.2022.28.1.21-25.