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Gocgen Approach for Bounded Gaps Between Odd Composite Numbers
Version 1
: Received: 20 January 2024 / Approved: 22 January 2024 / Online: 22 January 2024 (10:08:26 CET)
How to cite: Gocgen, A. Gocgen Approach for Bounded Gaps Between Odd Composite Numbers. Preprints 2024, 2024011533. https://doi.org/10.20944/preprints202401.1533.v1 Gocgen, A. Gocgen Approach for Bounded Gaps Between Odd Composite Numbers. Preprints 2024, 2024011533. https://doi.org/10.20944/preprints202401.1533.v1
Abstract
We developed some questions regarding twin prime conjecture by examining the bounded gaps between composite numbers and explained the relations between the formulas regarding composite numbers. Then we proved the twin prime conjecture to answer the new questions raised by proving the expression: \[ \liminf_{n\to\infty} (c_n_+_1 - c_n) \ge 10. \] In addition, we prove many different approaches have been and it has been proved that there must be a twin prime in the range $(p_k_2\cdot p_k_1, p^2_k_1)$, where $p \neq 2$.
Keywords
number theory; twin prime conjecture; gocgen approach; prime numbers
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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