论文标题

两个连续的素数之间的差距$ g_n $满足$ g_n = o({p_n}^{2/3})$

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

论文作者

Diouf, Madieyna

论文摘要

以下的论点证明了以下内容,这些论点不会围绕Riemann假设或筛子理论。如果$ p_n $是$ n^{\ rm th} $ prime和$ g_n = p_ {n+1} -p_n $,则$ g_n = o({p_n}^{2/3})$。

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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