On the distribution of consecutive composite odd numbers and twin primes
General Mathematics
2021-06-08 v1
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.
Cite
@article{arxiv.2106.03071,
title = {On the distribution of consecutive composite odd numbers and twin primes},
author = {Marc Wolf and FranÇOis Wolf and FranÇOis-Xavier Villemin},
journal= {arXiv preprint arXiv:2106.03071},
year = {2021}
}
Comments
16 pages