Some remarks on Kurepa's left factorial

2004/10/21 by Bernd C. Kellner, Kellner, Bernd C. · 1 citation
Mathematics · #11B65 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B65

paper · pdf · doi:10.48550/arxiv.math/0410477

7 pages

arxiv created 2004/10/21 · openalex publication_date 2004/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish a connection between the subfactorial function S(n) and the left factorial function of Kurepa K(n). Some elementary properties and congruences of both functions are described. Finally, we give a calculated distribution of primes below 10000 of K(n).

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• Variations of Kurepa's left factorial hypothesis

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