Although Andrica's conjecture is still unsolved, I'm told that it is possible to prove that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\lim\sup_{n\rightarrow\infty}\sqrt{p_{n+1}}-\sqrt{p_n}=1[/tex].

Does anyone know how or can point me to a source?

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# Lim sup of difference of primes

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