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arXiv · 2106.03071

On the distribution of consecutive composite odd numbers and twin primes

Marc Wolf·FranÇOis Wolf·FranÇOis-Xavier Villemin
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Abstract

We study pairs of consecutive odd numbers through a straightforward indexing. We focus in particular on twin primes and their distribution. With a counting argument, we calculate the limit of an alternating sum that is equal to 1 which means there are few twin primes. Finally, we show how to find the possible congruences for these prime numbers.

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Marc Wolf, FranÇOis Wolf, FranÇOis-Xavier Villemin. 2021-06-06. On the distribution of consecutive composite odd numbers and twin primes. https://arxiv.org/abs/2106.03071

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