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arXiv · 1703.08039

On the Distribution of Twin Primes

Madieyna Diouf
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Abstract

We introduce a sieve for counting twin primes up to a given range. Our method depends on a parameter $λ_x$ and the estimation of the number of twin primes obtained as a result, is called a fundamental structure of the distribution of twin primes. Combining the latter with an asymptotic bound of $λ_x$, establishes venues, conducive to a discovery of a partial result that can be considered as a suitable variant of the prime number theorem. Furthermore, we obtain an asymptotic bound of the number of twin primes less than $x$.

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Madieyna Diouf. 2021-11-06. On the Distribution of Twin Primes. https://doi.org/10.12988/ijcms.2021.91634

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