Application of the Inclusion-Exclusion Principle to Prime Number Subsequences
General Mathematics
2024-02-21 v1
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.
Keywords
Cite
@article{arxiv.2402.13214,
title = {Application of the Inclusion-Exclusion Principle to Prime Number Subsequences},
author = {Michael P. May},
journal= {arXiv preprint arXiv:2402.13214},
year = {2024}
}
Comments
17 pages; https://doi.org/10.29020/nybg.ejpam.v17i1.4979