On primes amongst squares of naturals

Abstract

We analyze the inequality $\sqrt{P_{k+1}}-\sqrt{P_k}<1,k\in \mathbb{N}$, discuss the existence of primes on arbitrary intervals $(r,s),r<s,r,s\in \mathbb{R}$, and finally address the issue of primes between squares of naturals.

8 pages. Withdrawn by the author due to incorrect testing of the conditions of Theorem 2.1 prior to application

References in corpus (1)

• Some heuristics on the gaps between consecutive primes