Authors: Pingyuan Zhou
Abstract: In this paper we consider the infinity of primes represented by quadratic polynomial with 4(Mp-2)^2+1, basing on a hypothesis as sufficient condition in which Fermat primes are criterion for the infinity of such primes, where Mp is Mersenne prime, and give an elementary argument for existence of infinitely many primes of the form x^2+1. As an addition, an elementary argument on the infinity of Mersenne primes is also given.
Comments: 9 Pages. Anthor gives an argument for solving Landau's fourth problem from a hypothesis on the infinity of primes represented by quadratic polynomial of Mersenne primes.
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[v1] 2014-09-24 05:00:01
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