Authors: Ralf Wüsthofen
The present paper shows that a principle known as emergence lies beneath the strong Goldbach conjecture. Whereas the traditional approaches focus on the control over the distribution of the primes by means of circle method and sieve theory, we give a proof of the conjecture that involves the constructive properties of the prime numbers, reflecting their multiplicative character within the natural numbers. With an equivalent but more convenient form of the conjecture in mind, we create a structure on the natural numbers which is based on the prime factorization. Then, we realize that the characteristics of this structure immediately imply the conjecture and, in addition, an even strengthened form of it. Moreover, we can achieve further results by generalizing the structuring. Thus, it turns out that the statement of the strong Goldbach conjecture is the special case of a general principle.
Comments: 11 Pages. Older versions on http://vixra.org/abs/1403.0083
[v1] 2017-02-23 13:14:42
[v2] 2017-03-14 15:04:19
[v3] 2017-03-27 17:37:51
[v4] 2017-03-28 18:45:44
[v5] 2017-04-02 17:21:31
[v6] 2017-04-18 22:27:19
[v7] 2017-04-24 23:49:28
[v8] 2017-04-27 22:26:48
[v9] 2017-05-08 00:37:46
[vA] 2017-05-13 01:29:59
Unique-IP document downloads: 155 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.