If Pn and Pn+1 are successive prime numbers, then 1<Pn+1/Pn< π^1/2?

Name: If Pn and Pn+1 are successive prime numbers, then 1<Pn+1/Pn< π^1/2?
Creator: nikos mantzakouras
Published: 2021-02-22T23:39:53.442Z
Keywords: Algorithms, Functional Analysis, Riemann Hypothesis

mantzakouras, nikos

doi:10.17632/hsgtxhdtj2.1

If Pn and Pn+1 are successive prime numbers, then 1<Pn+1/Pn< π^1/2?

Published: 22 February 2021| Version 1 | DOI: 10.17632/hsgtxhdtj2.1

Contributor:

nikos mantzakouras

Description

Tending the upper limit of the ratio of 2 consecutive prime numbers.For the proof we use 2 ways of proving the first part of the Hypothesis of Riemann.

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National and Kapodistrian University of Athens

If Pn and Pn+1 are successive prime numbers, then 1<Pn+1/Pn< π^1/2?

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