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arXiv · 2502.04731

Congruence properties of prime sums and Bernoulli polynomials

Jean-Christophe Pain
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Abstract

In this article, we derive a congruence property of particular sum rules involving prime numbers. The resulting expression involves Bernoulli numbers and polynomials, for which we obtain, as a consequence, a general congruence relation as well.

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Jean-Christophe Pain. 2025-02-07. Congruence properties of prime sums and Bernoulli polynomials. https://arxiv.org/abs/2502.04731

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