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On a certain arithmetic function defined via Bernoulli numbers
The paper defines a certain function \(χ(n)\) on the set of odd integers \(n \ge 3\). The integrality property of this function is investigated. The main result establishes that the function is integer-valued if and only if \(n\) is a prime number or an odd Giuga number. Thus, the integrality of \(χ
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