Some remarks on Kurepa's left factorial

Bernd C. Kellner

Some remarks on Kurepa's left factorial

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arxiv math/0410477 v1 pith:WNCOG6OB submitted 2004-10-21 math.NT

Bernd C. Kellner This is my paper · ORCID

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keywords factorialfunctionkurepaleftsomebelowcalculatedcongruences

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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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Partition Functions and Kurepa Decomposition I: Algebraic computation and some physical Applications
math.CO 2025-09 reject novelty 2.0 of 10

The alleged proof of gcd(F_n, (n+1)!)=2 collapses because F_n is simply the Kurepa factorial and the key lemma is the conjecture itself.

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