Corrigendum to “Automaticity of the sequence of last nonzero digits of factorial in a fixed base”
Eryk Tadeusz Lipka1
1 University of the National Education Comission, Podchorążych 2, 30-084 Kraków, Poland
Journal de théorie des nombres de Bordeaux, Tome 37 (2025) no. 2, pp. 711-714
corrige Automaticity of the sequence of the last nonzero digits of n! in a fixed base

We correct our previous proof of the fact that the sequence of the last nonzero digits of a factorial is automatic when considered in a base being a power of a prime. The error was recently noticed by J.-M. Deshouillers.

Nous corrigeons notre preuve précédente du fait que la suite des derniers chiffres non nuls de $n!$ est automatique lorsque la base de numération est une puissance d’un nombre premier. L’erreur a été récemment remarquée par J.-M. Deshouillers.

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DOI : 10.5802/jtnb.1338
Classification : 11B85, 11A63, 68Q45, 68R15
Keywords: Automatic sequence, factorial, the last nonzero digit

Eryk Tadeusz Lipka 1

1 University of the National Education Comission, Podchorążych 2, 30-084 Kraków, Poland
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Eryk Tadeusz Lipka. Corrigendum to “Automaticity of the sequence of last nonzero digits of factorial in a fixed base”. Journal de théorie des nombres de Bordeaux, Tome 37 (2025) no. 2, pp. 711-714. doi: 10.5802/jtnb.1338

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[2] Jean-Marc Deshouillers; Imre Z. Ruzsa The least nonzero digit of n! in base 12, Publ. Math. Debr., Volume 79 (2011) no. 3-4, pp. 395-400 | DOI | MR | Zbl

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[4] Eryk T. Lipka Automaticity of the sequence of last nonzero digits of factorial in a fixed base, J. Théor. Nombres Bordeaux, Volume 31 (2019) no. 1, pp. 283-291 | DOI | MR | Zbl

[5] Bartosz Sobolewski On the last nonzero digits of n! in a given base, Acta Arith., Volume 191 (2019) no. 2, pp. 173-189 | DOI | MR | Zbl

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