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arXiv · 1405.4570

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

Hilário Fernandes
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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.

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Hilário Fernandes. 2014-05-22. On prime-generating linear polynomials and x^2+1. https://arxiv.org/abs/1405.4570

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