Application of the Inclusion-Exclusion Principle to Prime Number Subsequences
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916132282171392 |
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| author | May, Michael P. |
| author_facet | May, Michael P. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13214 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Application of the Inclusion-Exclusion Principle to Prime Number Subsequences May, Michael P. General Mathematics 11A41, 11L20, 11B05, 11K31, 11N36 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. |
| title | Application of the Inclusion-Exclusion Principle to Prime Number Subsequences |
| topic | General Mathematics 11A41, 11L20, 11B05, 11K31, 11N36 |
| url | https://arxiv.org/abs/2402.13214 |