Number Theory

    

Goldbach and Twin Prime Conjectures Implied by Strong Goldbach Number Sequence

Authors: Pingyuan Zhou

Abstract: In this note, we present a new and direct appraoch to prove the Goldbach conjecture that if the existence of the limit of (P) = NSGL/2P as P approaches infinity being 1/2 can be confirmed by asymptotic result arising from large-scale observation data for status of (P) then the Goldbach conjecture is true, where P is a prime greater than 3 but NSGL and 2P are separately the largest strong Goldbach number and the largest Goldbach number generated by P. Further, the existence of the limit also implies the twin prime conjecture by means of the existence of good approximate function form to 2(A) such as our introduced C2/A(1/2) as an attempt, which tends to lower order infinitesimal as 1/A approaches infinitesimal, where A = NSGL-P but 2(A) is the density of strong Goldbach numbers generated by distinct twin prime pairs (p,p+2) among all strong Goldbach numbers from P+1 to P+A and C2 is the twin prime constant in the first Hardy-Littlewood conjecture.

Comments: 13 Pages. If so-called strong Goldbach number sequence introduced in this paper is acceptable then the existence of strong Goldbach number sequence will imply both Goldbach and twin prime conjectures.

Download: PDF

Submission history

[v1] 2016-07-01 03:27:48

Unique-IP document downloads: 347 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.

comments powered by Disqus