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This is the Prime Pages'
interface to our BibTeX database. Rather than being an exhaustive database,
it just lists the references we cite on these pages. Please let me know of any errors you notice.References: [ Home  Author index  Key index  Search ] Item(s) in original BibTeX format@article{Dusart99, author={P. Dusart}, title={The $k^{th}$ prime is greater than $k(\ln k+\ln \ln k1)$ for $k\geq 2$}, abstract={Rosser and Schoenfeld have use the fact that the first $3,500,000$ zeros of the Riemann zeta function lie on the critical line to give estimates on $\psi(x)$ and $\theta(x)$. With an improvement of the above result by Brent {\it et. al.}, we are able to improve these estimates and to show that the $k^{th}$ prime is greater than $k(\ln k + \ln \ln k 1)$ for $k \ge 2$. We give further results without proof.}, journal= mc, volume= 68, year= 1999, pages={411415}, month={January}, number= 225 , mrnumber={99d:11133} } 
Another prime page by Reginald McLean 