I have some questions with Maier's theorem
If $1 < \lambda < 2$, then what?
If $x+(\log x)^\lambda = x^{1+1/\pi(x)}$, then what?
In particular, if $\lambda = 0.525\log x/(\log\log x)$, then what? (see A result, due to Baker, Harman and Pintz in 2001, shows that θ may be taken to be 0.525. )