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arXiv · 1707.04890

About de Polignac's conjecture

Douglas Azevedo
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Abstract

In this note we present a method to bound gaps between primes via the divergence of the series of reciprocals of the prime numbers, a consequence of a version of the Bertrand's test for convergence of series of positive numbers and a suitable series of positive terms related to the logarithmic integral function. Using this proposed method we discuss the Polignac's conjecture and present some consequences.

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Douglas Azevedo. 2017-07-16. About de Polignac's conjecture. https://arxiv.org/abs/1707.04890

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