# 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

SHOWING 1-2 OF 2 REFERENCES

On the distribution of composite odd numbers

- Mathematics
- 2018

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 sums… Expand

Representation theorem of composite odd numbers indices

- Mathematics
- 2018

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 families… Expand