On primes amongst squares of naturals

Details On primes amongst squares of naturals On primes amongst squares of naturals

2011-08-06

arxiv.org/abs/1108.1466v3

Mathematics

Number Theory

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 Withdrawn by the author due to incorrect testing of the conditions of Theorem 2.1 prior to application

Scientific paper

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

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