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arXiv · 2004.10528

The gap $g_n$ between two consecutive primes satisfies $g_n=O({p_n}^{2/3})$

Madieyna Diouf
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Abstract

The following is proven using arguments that do not revolve around the Riemann Hypothesis or Sieve Theory. If $p_n$ is the $n^{\rm th}$ prime and $g_n=p_{n+1}-p_n$, then $g_n=O({p_n}^{2/3})$.

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Madieyna Diouf. 2020-06-07. The gap $g_n$ between two consecutive primes satisfies $g_n=O({p_n}^{2/3})$. https://doi.org/10.12988/ijcms.2020.91439

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