On the distribution of consecutive composite odd numbers and twin primes
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.
 Publication:

arXiv eprints
 Pub Date:
 June 2021
 arXiv:
 arXiv:2106.03071
 Bibcode:
 2021arXiv210603071W
 Keywords:

 Mathematics  General Mathematics;
 00A05
 EPrint:
 16 pages