Authors: Germán Paz
In this paper it is proved that for every positive integer 'k' there are infinitely many prime numbers of the form n^2+k. As a result, it is proved that there are infinitely many prime numbers of the form n^2+1. This document also proposes a new and important conjecture about prime numbers called 'Conjecture C'. If this conjecture is true, then Legendre’s Conjecture, Brocard’s Conjecture and Andrica’s Conjecture are all true, and also some other important results will be true. Previous papers (written in Spanish language) were reviewed and approved by Carlos Giraldo Ospina (Lic. Matemáticas, USC, Cali, Colombia). This person posted versions of these papers at his own personal website and at ABCdatos. You may search for those papers on the internet. You may also visit the websites that are mentioned in this paper.
Comments: 19 Pages. This paper was submitted to the Journal of Number Theory.
[v1] 2012-02-18 21:49:14
Unique-IP document downloads: 436 times
Articles available on viXra.org are pre-prints that may not yet have been verified by peer-review and should therefore be treated as preliminary and speculative. Nothing stated should be treated as sound unless confirmed and endorsed by a concensus of independent qualified experts. In particular anything that appears to include financial or legal information or proposed medical treatments should not be taken as such. 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.