real analysis - For which values of $p$ does the serie $sumlimits_{n=2}^inftyfrac{1}{n^pln(n)}$ converge?

For which values of $p$ does the serie $\sum\limits_{n=2}^\infty\frac{1}{n^p\ln(p)}$ converge? I'm trying to use the ratio test but I can't get a simple term in which use limit easily enough.