Corpus ID: 235358978

On the distribution of consecutive composite odd numbers and twin primes

@inproceedings{Wolf2021OnTD,
  title={On the distribution of consecutive composite odd numbers and twin primes},
  author={Marc Wolf and Franccois Wolf and F. Villemin},
  year={2021}
}
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. 

References

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We study odd numbers through a straightforward indexing. We focus in particular on odd prime and composite numbers and their distribution. With a counting argument, we calculate the limit of two sumsExpand
Representation theorem of composite odd numbers indices
We study the composite odd numbers via their indices with a function ranging through all of them. This mapping allows us to demonstrate that the set of these indices are described with two familiesExpand