On prime-generating linear polynomials and x^2+1
General Mathematics
2014-05-23 v2
Abstract
In this paper we use Dirichlet's theorem in order to elementally prove two theorems. The first says that since a polynomial ax+b generates one prime, it also generates infinites. The second theorem (which is proved in a very simillar way to the first) says that x^2+1 generates infinitely many primes.
Cite
@article{arxiv.1405.4570,
title = {On prime-generating linear polynomials and x^2+1},
author = {Hilário Fernandes},
journal= {arXiv preprint arXiv:1405.4570},
year = {2014}
}
Comments
This paper has been withdrawn by the author due to a representation error of D(2x_p+D). 3 pages