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      Twin Prime Conjecture - Proof that there are infinite twin primes.

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      Twin Prime Conjecture, Number Theory, Infinite Twin Primes
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            Abstract

            We determine that twin primes are not random within specific range of number series. Within the range, they are part of an infinite repeating cycle within the series. The repeating cycles of this series is symmetrical and that range is part of one such cycle. We can also determine where in the repeating cycle this range is located. Once we establish the repeating cycles, we find the probability of twin primes for the cycle/series. Next we determine the lower bound for the probability and the range. Finally, we prove that the twin prime conjecture is true.

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            Journal
            ScienceOpen Preprints
            ScienceOpen
            20 August 2021
            Affiliations
            [1 ] Independent, Non-affiliated
            Author notes
            Article
            10.14293/S2199-1006.1.SOR-.PPKAVE2.v1
            2c278a3b-9274-4297-b6c7-29cee22e7425

            This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .


            All data generated or analysed during this study are included in this published article (and its supplementary information files).
            Number theory
            Twin Prime Conjecture, Number Theory, Infinite Twin Primes

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