On prime-generating linear polynomials and x^2+1

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.

arXiv commentThis paper has been withdrawn by the author due to a representation error of D(2x_p+D). 3 pages