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arXiv · 2402.13214

Application of the Inclusion-Exclusion Principle to Prime Number Subsequences

Michael P. May
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Abstract

We apply the Inclusion-Exclusion Principle to a unique pair of prime number subsequences to determine whether these subsequences form a small set or a large set and thus whether the infinite sum of the inverse of their terms converges or diverges. In this paper, we analyze the complementary prime number subsequences P(prime) and P(double-prime) as well as revisit the twin prime subsequence P2.

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Michael P. May. 2024-02-12. Application of the Inclusion-Exclusion Principle to Prime Number Subsequences. https://doi.org/10.29020/nybg.ejpam.v17i1.4979

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