In fact if PNT says that the series [tex] \sum_{p<x}1 \sim Li(x) [/tex](adsbygoogle = window.adsbygoogle || []).push({});

My question is if we can't conjecture or prove that:

[tex] \sum_{p<x}p^{q} \sim Li(x^{q+1}) \sim \pi(x^{q+1}) [/tex] q>0

In asymptotic notation.....

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# Beyond PNT

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