Number Theory

    

On the Convergence of the Sum of Reciprocals of Sophie Germain Primes and Safe Primes

Authors: Lynette Michael Winslow

In this paper, we provide a detailed and rigorous proof that the series formed by the reciprocals of Sophie Germain primes and the series formed by the reciprocals of safe primes are both convergent. Utilizing analytic techniques and careful estimations of the counting functions for these primes, we establish upper bounds that demonstrate the convergence of these series.

Comments: 15 Pages.

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Submission history

[v1] 2024-11-18 07:06:42

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