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On Kurepa's problems in number Theory

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arxiv math/0312202 v1 pith:7ISTP5VK submitted 2003-12-10 math.NT

Aleksandar Ivić , Žarko Mijajlović This is my paper · ORCID
classification math.NT
keywords kurepanumberproblemstheoryclassicaldiscussdividedjuro
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abstract

We discuss some problems in number theory posed by Djuro Kurepa (1907-1993), including his classical left factorial hypothesis that an odd prime $p$ does not divide $0! + 1! + ... + (p-1)!$.

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  1. 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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