Number Theory


The Prime Gaps Between Successive Primes to Ensure that there is Atleast One Prime Between Their Squares Assuming the Truth of the Riemann Hypothesis

Authors: Prashanth R. Rao

Based on Dudek’s proof that assumed the truth of the Riemann’s hypothesis, that there exists a prime between {x – (4/pi)( x^ 1/2)(log x)} and x, we determine the size of prime gaps that must exist between successive primes, so that we can be sure that there is atleast one prime number between their squares.

Comments: 2 Pages.

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Submission history

[v1] 2019-08-08 23:17:34
[v2] 2019-08-13 16:53:26

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